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Modern Control 25-431 Spring 2010 Credits: 3 Level: Undergraduate, required Prerequisite: Linear control systems Hours: Sat, Mon, 1:30-3:00pm
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Course Syllabus:
Linear algebra: Linear spaces and linear operators Eigenvalues Matrix functions Norms and inner products Singular value decomposition System description: State variable description Input-output description System modeling Linear systems: Time domain solutions Equivalence Impulse response matrices Controllability and observability: Definitions, subspaces Canonical decomposition System realizations State feedback and state observers: Stabilization Full and reduced order estimators Stability: Internal stability Lyapunov methods Co-prime factorization* Output feedback and pole placement Disturbance rejection Miscellaneous topics (if time allows*)
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Grading: 1. Homework:10% 2. 2 quizzes: 10% 3. Mid-term exam 30% 4. Final exam: 50%
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1. C.T. Chen, “Linear system theory and design”, Oxford university press, 1999 (SEE) 2. N. Sadati, "Modern control", Sharif University press, 2001 3. J. Doyle, Francis, and Tannenbaum, “Feedback Control Theory”, Macmillan in, 1992 (SEE) 4. K. Zhou and J. Doyle, "Essentials of robust control", Prentice Hall, 1998 5. K.J. Astrom and R.M. Murray, “Feedback Systems: An Introduction for Scientists and Engineers”, 2007, (A0, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10, A11, A12) 6. H. Kwakernaak, R. Sivan, “Linear optimal control systems”, John Wiley & sons, (CP, C0, C1, C2, C3, C4, C5, C6) 7. H. Golub and C. Van Loan, "Matrix computations", John Hopkins University press
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