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This course complements ME243A/ECE230A, Linear Systems I in providing the students with the
basic tools of modern linear systems theory. See below for the specific list of topics
covered.
The students will also be introduced to the computational tools for linear systems
theory available in MATLAB.
The intended audience for this course includes, but is not restricted to,
students in circuits, communications, control, signal processing, physics,
and mechanical and chemical engineering.
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Instructor:
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Bassam Bamieh
, 2328 ENG II, x.4490,
bamieh@engineering.ucsb.edu
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Coordinates:
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MW, 2:00-3:50, Phelps 1437
(Enr. code: 34090 )
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Required Text:
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Instructor's notes and notes by Prof. Joao Hespanha |
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Supplementary Texts
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A Course in Robust Control Theory: A convex approach,
Fernando Paganini and Geir E. Dullerud. Springer, c2000.
Series: Texts in Applied Mathematics; 36.
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Web Page:
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http://www.engineering.ucsb.edu/~bamieh/courses/me243b.html
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Prerequisites:
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ME243A/ECE230A |
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TOPICS:
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- 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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