Course Material

Course Structure

(35 lectures : 11+9+7+8)

PART I : Linear Dynamical Systems

PART II : Linear Control Systems

PART III : Stability

PART IV : Optimal Control

Lectures

(Linear dynamical systems)

Lecture 1 : Control systems

Lecture 2 : Matrix theory I (review)

Lecture 3 : Matrix theory II

Lecture 4 : Solution of uncontrolled system I (spectral form)

Lecture 5 : Solution of uncontrolled system II (exponential form)

Lecture 6 : Evaluation of the matrix exponential

Lecture 7 : Solution of controlled system

Lecture 8 : Time-varying systems

Lecture 9 : State space and classical forms I

Lecture 10 : State space and classical forms II

Lecture 11 : State space and classical forms III

(Linear control systems)

Lecture 12 : Controllability I

Lecture 13 : Controllability II

Lecture 14 : Controllability III

Lecture 15 : Observability I

Lecture 16 : Observability II

Lecture 17 : Linear feedback I

Lecture 18 : Linear feedback II

Lecture 19 : Realization theory I

Lecture 20 : Realization theory II

(Stability)

Lecture 21 : Basic stability concepts

Lecture 22 : Algebraic stability criteria for linear systems

Lecture 23 : Lyapunov theory I

Lecture 24 : Lyapunov theory II

Lecture 25 : Lyapunov theory III

Lecture 26 : Stability and control I

Lecture 27 : Stability and control II

(Optimal control)

Lecture 28 : Performance indices

Lecture 29 : Calculus of variations I

Lecture 30 : Calculus of variations II

Lecture 31 : Calculus of variations III

Lecture 32 : Pontryagin's principle

Lecture 33 : The "soft landing" problem

Lecture 34 : A general regulator problem

Lecture 35 : Linear regulators with quadratic costs

Lecture Notes

PART I

Note 1.pdf Chapter 1 : Introduction

Note 1.pdf Chapter 2: Linear Dynamical Systems

PART II

Chapter 3: Linear Control Systems

PART III

Chapter 4: Stability

PART IV

Chapter 5: Optimal Control