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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

From the state space to transfer functions

Sample code on state-space formulation

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Introduction to the state space

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State-space realization

Last updated on Feb 8, 2022

Xu Chen © 2024 · Mechanical Engineering · University of Washington

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