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State-Space Methods to Control Systems

The Power of Control

Modeling of dynamic systems

Laplace transform

Inverse Laplace transform

Inverse Z transform

Introduction to the state space

From state space to transfer functions

State-space realization

Solution of state equations

State-space discretization

Transfer function discretization

Stability overview and the method of eigenvalue and pole locations

Lyapunov Stability

Controllability and observability

State-space discretization

Kalman decomposition

Observers and observer-state feedback

Linear Quadratic (LQ) optimal control

Selected Topics in Advanced Controls

Dynamic programming

Discrete-time LQ optimal control

Review of probability theory

Principle of least squares

Linear Quadratic Gaussian problem

Principles of feedback design

Loop transfer recovery

Frequency-shaped LQ

Zero-phase-error tracking control

Preview control

Internal model principle and repetitive control

Disturbance observer

Contents

Concepts, definitions, and criteria
Transforming between canonical forms
Lecture notes

Controllability and observability

Concepts, definitions, and criteria

Transforming between canonical forms

Lecture notes

Notes: Pendulum on a cart

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Last updated on Apr 15, 2022

Xu Chen © 2024 · Mechanical Engineering · University of Washington

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