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State-space approach for linear control systems. Chapter I: Introduction

Signals and Systems

This chapter introduces the state-space representation for linear time invariant systems. It is shown, how to derive state equations for physical systems described with a single ODE, a system of them or represented as a transfer function.

State-space approach for linear control systems. Chapter 2: Solution of state equations

Signals and Systems

We start with a comparison to a first order linear ODE to move towards a multi-dimensional casewhich relies on matrix algebra. The goal is to build the solution of linear time invariant modelsexpressed in the standard state equation form. Introduces the matrix...

State-space approach for linear control systems. Chapter 3: Design of a linear state feedback control law

Signals and Systems

Lecture 5: Introduction to the gain matrix, shaping the transient response with step response characteristics, Lecture 6: Controllability. Controller canonical form. Lecture 7: Closed-loop eigenvalue placement via state feedback. Matlab examples.