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ME/MATH 5312 Control Theory I

Instructor: Dr. Qing Hui

e-mail: qing.hui@ttu.edu

office: ME 201

phone: 2-3563 x-238

office hours: M 2:30-3:30 PM, W 2:30-3:30 PM

Syllabus

Schedule:

CLASS LECTURE HOMEWORK
8/27 Introduction
8/30 Miscellaneous Notation and Definitions, Matrix Operations
9/1 Polynomial and Rational Matrices
9/3 Matrix Decompositions and Canonical Forms
9/8 Kronecker Matrix Algebra HW1
9/10 Nonnegative-Definite Matrices
9/13 Vector and Matrix Norms
9/15 Topology and Analysis
9/17 Derivatives and Matrix Differentials
9/20 Matrix Exponential
9/22 Generalized Inverses HW2
9/24 Optimization Theory
9/27 Linear Systems and Transfer Functions
9/29 Systems Interconnections and the Standard Problem
10/1 Controllability, Stabilizability, Observability, and Detectability
10/4 Realizations of Transfer Functions
10/6 Lyapunov Stability Theory and Lyapunov Equations HW3
10/8 Impulse Response Formulation Exam 1
10/13 White Noise Formulation
10/15 H2 Norm
10/18 Static Control: Full State Feedback
10/20 Dynamic Estimation HW4
10/22 Dynamic Control: Output Feedback
10/25 H_infty Norm
10/27 The Bounded Real Riccati Equation
10/29 Exponential-of-Quadratic Stochastic Formulation
11/1 Hankel Operator Norms, L2/L_infty Induced Norm
11/3 Feedback Performance Specifications in the Frequency Domain HW5
11/5 Robust Stability
11/8 Bounded Real Analysis I
11/10 Bounded Real Analysis II
11/12 Positive Real Transfer Functions
11/15 The Positive Real Riccati Equation Exam 2
11/17 Bilinear Transformation and Relation to Bounded Real Theory HW6
11/19 Uncertainty Models
11/22 Robust Stability Analysis
11/29 Robust Stability and H2 Performance Project
12/1 Robustness to Positive Real Uncertainty
12/3 Circle and Popov Criteria
12/6 Robust Synthesis I
12/8 Robust Synthesis II