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ece230bSpring11-handout

ece230bSpring11-handout - LINEAR SYSTEMS II ECE230B/ME243B...

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LINEAR SYSTEMS II ECE230B/ME243B SPRING 2011 TU TH 4:00-5:50PM @ PHELPS 1431 Course summary This course complements ECE230A—Linear Systems I in providing the students with the basic tools of modern linear systems theory. The specific courses covered in this course include: Multivariable poles and zeros: Smith-McMillan form, poles, transmission and invariant zeros, McMillan degree & minimal realizations LQR/LQG control: Algebraic Riccati Equation (ARE), Kalman’s inequality, frequency-domain properties of LQR, loop-shaping using LQR, the cheap control, problem, Minimum Energy (ME) state estimators, Stochastic LQG, Loop transfer recovery (LTR) Operator approach to systems theory: frequency-domain transforms, time-invariance, causality, Small-gain Theorem. Model reduction: balanced realizations, Hankel operators, balanced truncation Feedback stabilization, parameterization of all stabilizing controllers, controller design by convex optimization methods
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