PPT-Discrete-Time State-Space

Equations Outline Discretetime state equation from solution of continuoustime state equation Expressions in terms of constituent matrices Example 2 Solution of State Equation. Transfer function approach of system modeling provides 64257nal relation between output variable and input variable However a system may have other internal variables of import ance State variable representa tion takes into account of all such inter 5.1 Discrete-time Fourier Transform . Representation for discrete-time signals. Chapters 3, 4, 5. Chap. 3 . Periodic. Fourier Series. Chap. 4 . Aperiodic . Fourier Transform . Chap. 5 . Aperiodic . Control . Systems. Controllability&Observability. CONTROLLABILITY. Complete . State. . Controllability. . for. a . Linear. Time . Invariant. . Discrete. -Time Control . System. CONTROLLABILITY. Dr. Feng Gu. Way to study a system. . Cited from Simulation, Modeling & Analysis (3/e) by Law and . Kelton. , 2000, p. 4, Figure 1.1. Model taxonomy. Modeling formalisms and their simulators . Discrete time model and their simulators . imtiaz.hussain@faculty.muet.edu.pk. . Introduction to State Space. The . state space . is defined as the n-dimensional space in which the components of the state vector represents its coordinate axes. . 5.1 Discrete-time Fourier Transform . Representation for discrete-time signals. Chapters 3, 4, 5. Chap. 3 . Periodic. Fourier Series. Chap. 4 . Aperiodic . Fourier Transform . Chap. 5 . Aperiodic . Agents. An . agent. is anything that can be viewed as . perceiving. its . environment. through . sensors. and . acting. upon that environment through . actuators. Example: Vacuum-Agent. Percepts. • State-space representation.. • Linear state-space equations.. • Nonlinear state-space equations.. • Linearization of state-space equations.. 2. Input-output Description. The description is valid for. Announcements:. HW . 4. . posted, . due Tues May 8 at 4:30pm. . No late HWs as solutions will be available immediately.. Midterm details on next page. HW . 5 will . be posted . Fri May 11. , . due . Controllability&Observability. CONTROLLABILITY. Complete . State. . Controllability. . for. a . Linear. Time . Invariant. . Discrete. -Time Control . System. CONTROLLABILITY. Complete . State. Andrew J. Viterbi. Presidential Chair Professor of Electrical Engineering. University of Southern California. September 25, 2017. Careers’ Timeline. JPL/USC 1957-1963. UCLA 1963-1975. UCSD 1975-1985 . Chapter 5. Discrete-Time Process Models. Discrete-Time Transfer Functions. The input to the continuous-time system . G. (. s. ) is the signal:. The system response is given by the convolution integral:. Chapter 5. Discrete-Time Process Models. Discrete-Time Transfer Functions. The input to the continuous-time system . G. (. s. ) is the signal:. The system response is given by the convolution integral:. ε. N = {0, 1, 2, …} is a sequence of time-indexed RVs X. 0. , X. 1. , X. 2. , …, with X = {. X. t. , t ≥ 0}.. Discrete-Time Markov Chain (DTMC). : A SP, . X = {. X. t. , t ≥ . 0}, is a DTMC if, for all t, .