PPT-Frequency-Domain Analysis and stability determination

frequencyresponse studies In practice the performance of a control system is more realistically measured by its timedomain characteristics The reason is that the performance of most control systems is judged based on the time due to certain test signals . It is known as Nyquist stability criterion It is based on the complex analysis result known as Cauchys principle of ar gument Note that the system transfer function is complex function By applying Cauchys principle of ar gument to the openloop syste Before discussing the stability test let us rst introduce the following notions of stabilit y for a linear time invariant LTI system 1 BIBO stability or zero state stbaility 2 Internal stability or zero input stability Since we have not introduced t Identify a node voltage at each of the nonreference nodes and a current with every element in the circuit Step 2 Write KCL connection constraints in terms of the element currents at the nonreference nodes Step 3 Use the element admittances and the f of . Documentation For Regulatory Submissions. Bob Seevers. Outcomes of Stability Studies. Retest date or shelf-life for APIs. Shelf-life for drug products. Stability-indicating analytical methods. Appropriately protective packaging for API and drug product. Part 2. (For Voltage Feedback Op Amps). Tim Green & Collin Wells. Precision Analog Linear Applications. 1. Stability . Tricks and Rules-of-Thumb. 3. Loop Gain Bandwidth Rule: 45 degrees for f . <. 10. Sample Rate, Nyquist Frequency & Aliasing. 2. Nyquist Frequency. The Nyquist frequency is equal to one-half the sampling rate. .. Shannon’s sampling theorem states that a sampled time signal must not contain components at frequencies above the Nyquist frequency. . Sinusoidal tidal waves. Copy of Katsushika Hokusai . The Great Wave off Kanagawa . at . http://commons.wikimedia.org/wiki/File:The_Great_Wave_off_Kanagawa.jpg . Domains. Images can be represented in different domains. Aleksandar Chakarov and . Sriram. . Sankaranarayanan. University of Colorado Boulder. Georgios. . Fainekos. Arizona State University Tempe. Overview. Goal: . . Provide specification formalisms for. frequency-response studies. In practice, the performance of a control system is more realistically measured by its time-domain characteristics.. The reason is that the performance of most control systems is judged based on the time due to certain test signals. . S-Plane: Poles and Zeros . A linear system can be represented by the following transfer function: . Zeros: . z. i. (the roots of the numerator) . Poles: p. i. (the roots of the denominator or of the system or . Frequency response concepts and techniques play an important role in control system design and analysis. . Closed-Loop Behavior. In general, a feedback control system should satisfy the following design objectives:. TIPL 4301 . TI Precision Labs – . ADCs. Created by Art . Kay, . Luis Chioye. Presented by Peggy Liska. 1. Time Domain vs. Frequency Domain. 2. 1Vpk @ 1kHz. 0.1Vpk @ 10kHz. Sum of both signals. Fourier Spectrum for . Clocks and Oscillators. Mechanical Clocks. Atomic Clocks. Time Scales and Coordinated Universal Time (UTC). Frequency and Time Calibrations. The Difference Between Accuracy and Stability. Statistical Tools Used to Estimate Stability. Copy of Katsushika Hokusai . The Great Wave off Kanagawa . at . http://commons.wikimedia.org/wiki/File:The_Great_Wave_off_Kanagawa.jpg . Domains. Images can be represented in different domains. Spatial domain – the strength of light at points in space.