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Dynamics, Optimization & Control of Biologically Inspired Dynamic Dynamics, Optimization & Control of Biologically Inspired Dynamic

Dynamics, Optimization & Control of Biologically Inspired Dynamic - PowerPoint Presentation

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Dynamics, Optimization & Control of Biologically Inspired Dynamic - PPT Presentation

Soaring Maneuvers for a Morphing Capable UAV 1 Presentation for Dr Haitham Taha amp Colligues Aug2017 Presentation Outline 2 Introduction UAS Problem of energy d eficiency in ID: 638144

dynamic soaring wind morphing soaring dynamic morphing wind control span sachs energy fixed flight optimal shear uav vol minimum

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Slide1

Dynamics, Optimization & Control of Biologically Inspired Dynamic Soaring Maneuvers for a Morphing Capable UAV

1

Presentation for

Dr

Haitham

Taha

&

Colligues

Aug-2017Slide2

Presentation Outline

2

Introduction

UAS

Problem of energy

d

eficiency in

s

UAS

Dynamic soaring a potential solution

Biological

Inspiration: Dynamic

s

oaring under morphing conditions

Area of research : Integration of two concepts

Research results

Task

a

ccomplished till date

Future work to be carried out in next six months at UCISlide3

Introduction

3Slide4

Introduction :

sUAS

sUAS

Utility

s

urveillance, communication relay & loitering dominated missions

low

radar cross section area, ability to perform agile maneuvers close to the proximity of ground, reduced vulnerability, low fuel consumption, low cost

4Slide5

Introduction :

sUAS

Diverse set of mission

r

equirement necessitates

sUAS

to improve the time aloft

Speed, range and endurance

Much larger platform

Possible Solution

Upgrade battery/fuel system

Elevated cost and space requirementTapping energy from atmosphere though Soaring (Biological inspiration)

5Slide6

Dynamic Soaring The extraction of energy from atmospheric wind shear

6

Has

four

characteristic

phasesSlide7

Dynamic Soaring7

Dynamic Soaring

Initial Orientation

Yaw movement

Pitch

movement

Roll movementSlide8

USEFUL STUDIES8Slide9

Some Useful studies :

Gottfried Sachs

Gottfried Sachs

:

1

2

relevant publications from 1991 to 2017

 

[1] G. Sachs and B. Grüter, "Dynamic Soaring− Kinetic Energy and Inertial Speed," in AIAA Atmospheric Flight Mechanics Conference, 2017, p. 1862.Kinetic energy plays an important role in the energy management of dynamic soaring important to use an appropriate kinetic energy conceptUtilized kinetic energy based on inertial speed

9Slide10

Some Useful studies :

Gottfried Sachs

[

2] G. Sachs, "In-flight measurement of upwind dynamic soaring in albatrosses,"

Progress in Oceanography,

vol. 142, pp. 47-57, 2016.

[3] G. Sachs, J.

Traugott

, A.

Nesterova, and F. Bonadonna, "Experimental verification of dynamic soaring in albatrosses," The Journal of experimental biology, vol. 216, pp. 4222-4232, 2013.[4] G. Sachs, J. Traugott, A. P. Nesterova, G. Dell'Omo, F. Kuemmeth, W. Heidrich, et al., "Flying at No Mechanical Energy Cost: Disclosing the Secret of Wandering Albatrosses," Plos One, vol. 7, Sep 5 2012.[5] G. Sachs, J. Traugott

, and F.

Holzapfel

, "Progress against the Wind with Dynamic Soaring-Results from In-Flight Measurements of Albatrosses," in AIAA Guidance Navigation and Control Conference, AIAA, 2011, p. 2011.[6] G. Sachs, J. Traugott, and F. Holzapfel, "In-flight measurement of dynamic soaring in albatrosses," in AIAA Guidance, Navigation, and Control Conference, Toronto, Ontario Canada, 2010, pp. 2-5.10Slide11

Some Useful studies :

Gottfried Sachs

D

ynamic

soaring is a small-scale flight

maneuver which

is the basis for the extreme flight performance of albatrosses and

other large

seabirds to travel huge distances in sustained non-flapping flight.

Experimental data with sufficient resolution of these small-scale movements are not availableIn-house developments of GPS logging units for recording raw phase observations and of a dedicated mathematical method for post processing these measurements11Slide12

Some Useful studies :

Gottfried Sachs

Experimental

results from tracking 16 wandering albatrosses show the characteristic pattern of dynamic

soaring throughout their flight

12Slide13

Some Useful studies :

Gottfried Sachs

[7] G. Sachs, "Minimum shear wind strength required for dynamic soaring of albatrosses,"

Ibis,

vol. 147, pp. 1-10, 2005.

[8] G. Sachs and O. da Costa, "Optimization of dynamic soaring at ridges," in

AIAA

Atmospheric Flight Mechanics Conference and Exhibit, Austin, Texas

, 2003, pp. 11-14.

[9] G. Sachs and M. Mayrhofer, "Shear wind strength required for dynamic soaring at ridges," Technical Soaring, vol. 25, pp. 209-215, 2001.[10] G. Sachs, "Optimal Wind Energy Extraction for Dynamic Soaring," in Applied Mathematics in Aerospace Science and Engineering, ed: Springer, 1994, pp. 221-237.[11] G. Sachs, A. Knoll, and K. Lesch, "Optimal utilization of wind energy for dynamic soaring," Technical Soaring, vol. 15, pp. 48-55, 1991.

[12] G. Sachs, "MINIMUM CONDITIONS FOR DYNAMIC SOARING,"

Zeitschrift

Fur Flugwissenschaften Und Weltraumforschung, vol. 13, pp. 188-198, May-Jun 1989.13Slide14

Some Useful studies:

Gottfried Sachs

A

mathematical optimization

method

(

GESOP

and ALTOS) is

used for computing minimum shear wind

energy-neutral trajectoriesThe minimum shear wind strength is of a magnitude that often exists or is exceeded in areas in which albatrosses are found5m/s close to sea level (0.79m height)The mechanism of energy transfer from the shear flow to the bird is considered, and it is shown that there is a significant energy gain in the upper curve and a loss in the lower curve.

14Slide15

Some Useful studies

Evaluation of dynamic

soaring flight characteristics

Dynamic

soaring flight characteristics have been investigated actively by various researchers to determine the fundamentals of soaring flight.

Parameters

such as the peak altitude/speeds attained during the soaring maneuvers, cycle time, minimum wind shear required

for birds /UAVs

were subsequently

determined15Slide16

Some Useful studiesZhao investigated Optimal dynamic soaring patterns

(loiter, travel and basic modes) of a glider in wind gradients [1]Minimum fuel powered dynamic soaring of UAV utilizing wind gradients

[2]

16

Y

. J. Zhao, "Optimal patterns of glider dynamic soaring,"

Optimal control applications and methods,

vol. 25, pp. 67-89, 2004

.1. Y. Y. J. Zhao and Y. C. Qi, "Minimum fuel powered dynamic soaring of unmanned aerial vehicles utilizing wind gradients," Optimal Control Applications & Methods, vol. 25, pp. 211-233, Sep-Oct 2004.Slide17

Some Useful studies: Optimal dynamic soaring patterns

Min cycle time Max altitude gain

17Slide18

Some Useful studies: Minimum fuel

Minimum fuel (min thrust for jet and min power for prop) powered

dynamic soaring

trajectories

When the wind gradient is sufficiently

steep,

a UAV can perform dynamic soaring without using any thrust.

If

the wind

gradient is not sufficient to maintain powerless dynamic soaring, on the other hand, a UAV can still take advantage of the wind gradient to reduce fuel consumptions by performing powered dynamic soaring flights. In this case, the largest wind condition parameter at which powerless dynamic soaring is still possible sets a bound on the range of wind conditions 181. Y. Y. J. Zhao and Y. C. Qi, "Minimum fuel powered dynamic soaring of unmanned aerial vehicles utilizing wind gradients," Optimal Control Applications & Methods,

vol. 25, pp. 211-233, Sep-Oct 2004.Slide19

Some Useful studiesSachs investigated dynamic soaring at ridges

and determined that significant shear wind conditions exists behind ridges to successfully perform dynamic soaring

Zhao &

Lissaman

evaluated that

shear layers over the

ocean

contain sufficient energy to provide continuous or assisted flight for small (< 10 kg) UAVs

191. Zhao "Minimum fuel powered dynamic soaring of UAVs utilizing wind gradients,“ 2004.P. Lissaman, "Wind energy extraction by birds and flight vehicles," AIAA paper, vol. 241, 2005G. Sachs and O. da Costa, "Optimization of dynamic soaring at ridges," in AIAA Atmospheric Flight Mechanics Conference and Exhibit, Austin, Texas, 2003, pp. 11-14.Slide20

Some Useful studies For full-scale aircraft

Sachs and da Costa showed that dynamic soaring by full-size sailplanes is possible with values of wind shear found near mountain

ridges

Gordan

showed full

size sailplanes could extract energy from horizontal wind shears, although the utility of the energy extraction could be marginal depending on the flight conditions and type of sailplane used

20

R

. J. Gordon, "Optimal dynamic soaring for full size sailplanes," DTIC Document2006.G. Sachs and O. da Costa, "Optimization of dynamic soaring at ridges,“2003Slide21

Some Useful studiesGao [1] , Lawrence [2] implemented DS trajectories utilizing piece wise controllers for each of the four phases of DS for a fixed-wing

gliding UAV Computationally simpleNot accurate

21

1.

X. Z.

Gao

, Z. X.

Hou

, Z.

Guo, R. F. Fan, and X. Q. Chen, "Analysis and design of guidance-strategy for dynamic soaring with UAVs," Control Engineering Practice, vol. 32, pp. 218-226, Nov 2014.2. Lawrance and Sukkarieh, "A guidance and control strategy for dynamic soaring in a gliding UAV,“2009Slide22

Some Useful studiesZhu (2015) performed trajectory optimization for Long

Endurance (loiter mode) and Long Distance (forward flight) for Engineless UAV by Dynamic Soaring

22

B. Zhu, Z.

Hou

, X. Wang, and Q. Chen, "Long Endurance and Long Distance Trajectory Optimization for Engineless UAV by Dynamic Soaring,"

CMES

: Computer Modeling in Engineering & Sciences,

vol. 106, pp. 357-377, 2015.Slide23

Some Useful studiesAkhtar [1,2] developed dynamic soaring trajectories employing non-linear

constrained optimization method where some reference polynomials The trajectories are defined by the coefficients

of the

polynomials. The coefficients are

determined analytically

from the boundary conditions and

the final

time.

23

[1] N. Akhtar, J. F. Whidborne, and A. K. Cooke, "Wind shear energy extraction using dynamic soaring techniques," 2009[2] N. Akhtar, J. F. Whidborne, and A. K. Cooke, "Real-time optimal techniques for unmanned air vehicles fuel saving," 2012Slide24

Critical Observation Dynamic soaring maneuver has never been attempted for a morphing platform Soaring birds rests on its wings with a shoulder lock, skillfully

vary wing planform and twist, during dynamic soaring [1,2,3]

Biologically

inspired UAV will be able to acquire maximum energy from the atmosphere

24

J

. P. Barnes, "How Flies the Albatross–the Flight Mechanics of Dynamic Soaring," SAE Technical

Paper2004

.

X.-Z. Gao, Z.-X. Hou, Z. Guo, and X.-Q. Chen, "Energy extraction from wind shear: Reviews of dynamic soaring," Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, vol. 229, pp. 2336-2348, 2015.

3. D

.

Lentink, U. Müller, E. Stamhuis, R. De Kat, W. Van Gestel, L. Veldhuis, et al., "How swifts control their glide performance with morphing wings," Nature, vol. 446, pp. 1082-1085, 2007.Slide25

Research Neech

For UAV

Majority

of the

studies utilize

off-line numerical optimization techniques

Confined

to fixed

planform configurations

Requirement existed

to

compute optimal trajectories in near real time environment for on board utilization to perform analysis for dynamic soaring under morphing conditions Morphing has significant

impact on aircraft performance & flight

dynamics characteristics

25

Y

. J. Zhao, "Optimal patterns of glider dynamic soaring,"

Optimal control applications and methods,

vol. 25, pp. 67-89, 2004

.

N

.

Akhtar

, J. F.

Whidborne

, and A. K. Cooke, "Real-time optimal techniques for unmanned air vehicles fuel saving,"

Proceedings of the Institution of Mechanical Engineers

1.

Zhao, Y.Y.J. and Y.C. Qi,

Minimum fuel powered dynamic soaring of unmanned aerial vehicles utilizing

wind

gradients.

Optimal Control Applications & Methods, 2004.

25

(5): p. 211-233.

1. Sachs, G.,

Minimum shear wind strength required for dynamic soaring of albatrosses.

Ibis, 2005.

147

(1): p. 1-10.

2. Sachs, G. and O. da Costa.

Optimization of dynamic soaring at ridges

. in

AIAA

Atmospheric Flight Mechanics Conference and Exhibit, Austin, Texas

. 2003.

3. Sachs, G. and M.

Mayrhofer

,

Shear wind strength required for dynamic soaring at ridges.

Technical Soaring, 2001.

25

(4): p. 209-215.

2

Y. J.

Zhao, "Optimal patterns of glider dynamic soaring,"

Optimal control applications and methods,

vol. 25, pp. 67-89, 2004.Slide26

Area of Research

Dynamics

, Optimization & Control of Biologically Inspired Dynamic Soaring Maneuvers for a Morphing

Capable

UAV

26Slide27

Area of Research

Optimal Dynamic

soaring maneuvers will be

implemented for

a morphing capable platform which can alter its planform configuration

(span and sweep variations)

27

 Slide28

Problem Formulation28Slide29

Description of Platform

Modal Specifications

Geometric Attribute

Dimensions

Geometric Attribute

Dimensions

Mass

1.25 kg

Aerodynamic coefficient (k)

0.08

Fuselage Length

1 m

Zero Lift Drag

coefficient

(

CDo

)

0.004

Span Variation

1.25m

±

50%

velocity

range

3- 30m/s

MAC

0.48m

Azimuth

(

ψ)

range

-540° to 90°

Area

0.6 m2

Flight

path angle (

γ)

range

-60° to 60°

Aspect Ratio

4.31

Bank Angle range

-70° to 70°

Sweep variation

0-25°

Cycle

time

1-30 s

Wing Airfoil

NACA 0012

Max Load factor

5

29Slide30

Mathematical Modeling

Non Linear UAV Dynamics model

30Slide31

Mathematical Modeling

State vector

Control vector

31Slide32

Mathematical Modeling

Boundary Constraints

Wind Model

32Slide33

Mathematical Modeling

Path Constraints

33Slide34

Software Utilized

Trajectory Optimization

DynOpt

GPOPS

II

Utilization

of direct collocation methods, the optimal control problem is transcribed to a nonlinear programming problem (NLP) by parameterizing the state and control using global polynomials

IPOPT

(NLP Solver)

Matlab34Slide35

Comparative Analysis: Morphing Vs

Fixed Wing

Trajectory

optimization for dynamic soaring

is formulated

for UAV with fixed planform

and than

morphing configurations.

Evaluation of various aspects of dynamic soaring parameters cycle timemaximum achievable velocityminimum required wind shearmaximum altitude gainenergy (total, potential and kinetic) gaindistances covered in the east / north

direction

35Slide36

General Aspects36Slide37

Max velocity in the DS loop is constrained by load factor constraintMax velocity occurs max permissible load factormin CL, min span, max sweep

37

Load Factor constraint affects Velocity and Span Slide38

Shear layer is being considered as a limited

height structure (that is, the horizontal wind speed increases

linearly to

some altitude and is constant for higher altitudes

)

38

Dynamic Soaring Heuristics:

Zho

ho

is the surface correctness factorSlide39

At higher speeds, high sweep/ low span improves aerodynamic wing performance by reducing drag whereas low sweep/ high span wings contributes in better performance at low velocities by providing more lift

At lower speeds, low sweep/ high span

wings deliver superior glide ratios and at higher speeds glide ratio is higher for high sweep/low span wings

39

Morphing Impact

[1] D

.

Lentink

, U. Müller, E.

Stamhuis, R. De Kat, W. Van Gestel, L. Veldhuis

, et al.

, "How swifts control their glide performance with morphing wings,"

Nature, vol. 446, pp. 1082-1085, 2007.Slide40

During the climb phaseThe K.E is traded for P.E and velocity starts decreasing

40

Dynamic Soaring CycleSlide41

Span Morphing Results41Slide42

Comparative Analysis: Morphing Vs

Fixed Wing

Optimized Trajectory

42Slide43

43

Altitude GainSlide44

44

East Distance CoverageSlide45

45

North Distance CoverageSlide46

Max velocity in the DS loop is constrained by load factor constraintMax velocity occurs max permissible load factormin CL, min span, max sweep

46

Load Factor constraint affects Velocity and Span Slide47

Velocity Vs

Altitude

47Slide48

48

Control Effort : Span morphingSlide49

49

Normalized energiesSlide50

Shear layer is being considered as a limited

height structure (that is, the horizontal wind speed increases

linearly to

some altitude and is constant for higher altitudes

)

50

Dynamic Soaring Heuristics:

Zho

ho

is the surface correctness factorSlide51

51

Minimum wind shear requirement

Minimum

wind speeds required for dynamic soaring at sea level conditions are

6.6m

/s (for

1.25m

span),

6.8m

/s (for

1.75m

span) and

5.6m

/s (for morphing platform).

Fixed

1.25m

span

Fixed

1.75m

span

Morphing configurationSlide52

52

Control

Effort : Angle of attack

Slide53

53

Lift CoefficientSlide54

54

Drag Coefficient variation

wrt

spanSlide55

55

Drag Coefficient variation

wrt

velocity and altitudeSlide56

56

Heading,

FPA

, and bank angle Slide57

S No

Nom

Worst case fixed span configuration value

Span Morphing Configuration

%

Improvement

(Morphing value-fixed value)/Fixed value

1

Maximum altitude gain

150ft

210ft

40% enhancement

2

Distance covered in east direction

210ft

300ft

42% enhancement

3

Distance covered in north direction

70ft

100ft

42% enhancement

4

Normalized energy

5200

7200

38% higher energy

5

Maximum speed

100ft

/sec

120

ft

/sec

20% higher max velocity

57

Comparative Analysis:

Span Morphing

Vs

Fixed

ConfigurationsSlide58

S No

Nom

Worst case fixed span configuration value

Span Morphing Configuration

%

Improvement

(Morphing value-fixed value)/Fixed value

6

Minimum wind shear at sear level (1m)

6.8m

/s

5.6m

/s

18% lesser minimum wind shear requirement

7

Maximum required Aoa

5.2

3.7

29% lesser maximum

AoA

required

8

Maximum Cl

requirement

0.45

0.4

11% lesser

AOA

requirement

9

Max Drag reduction

0.0334

0.023

34% decrease in maximum drag

58

Comparative Analysis:

Span Morphing

Vs

Fixed ConfigurationsSlide59

Sweep Morphing Results59Slide60

Optimized Trajectory

60Slide61

61

Control Effort : Sweep morphing Slide62

62

Lift CoefficientSlide63

Drag Coefficient63

Comparative Analysis: Morphing

Vs

Fixed

WingSlide64

Control Effort : Angle of attack

64

Comparative Analysis: Morphing

Vs

Fixed

WingSlide65

Control Effort : Bank a

ngle

65

Comparative Analysis: Morphing

Vs

Fixed

WingSlide66

66

Comparative Analysis:

Sweep Morphing

Vs

Fixed

Wing

S No

Nomen

Fixed 0° sweep configuration

Morphing configuration

(0-20° sweep)

1

Maximum altitude gain

210

ft

230

ft

10% improvement

2

Energy gain

7600

8200

6.5

%

improvement

3

Maximum velocity

118ft

/sec

125ft

/sec

6

%

improvement

4

Maximum Angle

of attack requirement

2.2 °

10

%

reduction

5

Minimum wind

shear required

Wind velocity of

5m

/s

(close to se level)

4.2m

/s

15 % reduction

6

Drag

coefficient

15% lesser Slide67

Work

Task Accomplished till Date

Optimal

dynamic soaring trajectories implemented for a fixed configuration UAV suitable for near real time implementations (computation time of under

4sec

)

Optimal

dynamic soaring trajectories formulated for a morphing capable platform capable of

Span morphing (50% span variation

) Sweep morphing (0-20

°)

Hybrid morphing (span + sweep variations)

67Slide68

Publications

Conference Papers

Optimization of Dynamic Soaring Maneuvers for a Morphing Capable

UAV.

AIAA

Scitech

2017, Grapevine,

USA (Published) Dynamic Modeling & Stability Analysis of a generic UAV in Glide

Phase.

International conference on Mechanical, Material and Aerospace Engineering (

2MAE), 2017 (Published) Optimization of Dynamic Soaring Maneuvers to Enhance Endurance of a fixed configuration UAV. International conference on Aerospace, Mechanical and Mechatronic Engineering (

CAMME

), 2017

Thailand

(Published)

Autonomous Dynamic Soaring Maneuvers for a UAV Capable of Span Morphing.

AIAA

Scitech

2018, Florida,

USA

(submitted)

68Slide69

Publications

Journal Papers (Under Review)

Real Time Trajectory Optimization of Dynamic Soaring Maneuvers Using Orthogonal Collocation Techniques.

Submitted

to Journal of Theoretical And Applied Mechanics (

JTAM

) , April

2017

(Under Review) Dynamic

Soaring Maneuvers for an unmanned aircraft capable of sweep

morphing. IEEE Access , June 2017

(Under Review) Dynamics, optimization and control of autonomous Aerial vehicles. IEEE Access , June 2017 (Under Review)

Autonomous dynamic soaring for a morphing capable UAV

(under finalization stages at UCI)

69Slide70

Tasks for Next Six Months at UCI

To

get familiarize with the ongoing research activities and the tools

used at

Flight Dynamics and Control

Lab, UCI

To

learn

about various non-linear

control techniques (such as Sliding Mode Control, Back stepping controller, Feed back linearization, Control lypnov function, Geometric control and so on). In specific those already employed to solve engineering problems by the research group Synthesis of control law for implementing optimized dynamic soaring trajectories utilizing most relevant control techniquePublication of at least 02 Impact factor journal for the developed control architecture

70Slide71

THANK YOU71