Control System Design An Introduction to State Space Methods 1st edition by Bernard Friedland ISBN 0486442780 978-0486442785

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ISBN 10: 0486442780
ISBN 13: 978-0486442785
Author: Bernard Friedland 

Addressed not only to students but also to professional engineers and scientists, this volume introduces state-space methods for direct applications to control system design, in addition to providing background for reading the periodical literature. Its presentation, therefore, is suitable both for those who require methods for achieving results and those more interested in using results than in proving them.
Topics include feedback control; state-space representation of dynamic systems and dynamics of linear systems; frequency-domain analysis; controllability and observability; and shaping the dynamic response. Additional subjects encompass linear observers; compensator design by the separation principle; linear, quadratic optimum control; random processes; and Kalman filters.
Concrete examples of how state-space methods can be used to advantage in several representative applications are woven into the fabric of the text and the homework problems. Many of the models are drawn from aerospace and inertial instrumentation; other examples are derived from chemical process control, maritime operations, robotics, and energy systems.

 Control System Design: An Introduction to State-Space Methods 1st Table of contents:

• Introduction to Control Systems 1.1. Overview of Control Systems
  1.2. The Role of State-Space Methods in Control
  1.3. Introduction to State Variables
  1.4. The Importance of State-Space Representation in Modern Control
  1.5. Basic Terminology and Concepts in Control Systems

• Chapter 1: Mathematical Foundations of State-Space Analysis 2.1. Linear Systems and Differential Equations
  2.2. Matrix Algebra and Linear Transformations
  2.3. The State-Space Representation
  2.4. Stability in State-Space Models
  2.5. Time-Invariant vs. Time-Varying Systems

• Chapter 2: The State-Space Representation 3.1. State Variables and State Equations
  3.2. State-Space Models for Continuous Systems
  3.3. Conversion Between Transfer Functions and State-Space
  3.4. Control Systems with Multiple Inputs and Outputs
  3.5. Observability and Controllability in State-Space

• Chapter 3: System Response and Solution Methods 4.1. Time Domain Analysis of State-Space Systems
  4.2. The Solution of State Equations
  4.3. The Matrix Exponential and System Response
  4.4. Step Response and Impulse Response
  4.5. Stability Analysis via Eigenvalues

• Chapter 4: Controllability and Observability 5.1. Definitions and Importance of Controllability and Observability
  5.2. The Controllability Matrix and its Properties
  5.3. The Observability Matrix and its Properties
  5.4. Kalman’s Criterion for Controllability and Observability
  5.5. Applications of Controllability and Observability

• Chapter 5: State Feedback Control 6.1. Introduction to Feedback Control
  6.2. Pole Placement Using State Feedback
  6.3. Full-State Feedback Controllers
  6.4. Eigenvalue Assignment in State-Space
  6.5. Practical Considerations for State Feedback Design

• Chapter 6: Observer Design 7.1. The Role of Observers in Control Systems
  7.2. Design of Luenberger Observers
  7.3. State Estimation and Observer Kalman Filter
  7.4. Observer Stability and Error Dynamics
  7.5. Applications of Observers in Control

• Chapter 7: Optimal Control Design 8.1. Introduction to Optimal Control Theory
  8.2. The Linear Quadratic Regulator (LQR)
  8.3. Solving the Riccati Equation
  8.4. Optimal State Feedback Design
  8.5. Applications of Optimal Control

• Chapter 8: Control System Implementation and Simulation 9.1. Digital Implementation of State-Space Controllers
  9.2. Simulation of State-Space Systems
  9.3. Stability and Performance in Digital Control Systems
  9.4. Discretization of Continuous State-Space Models
  9.5. Simulation Tools and Software for State-Space Systems

• Chapter 9: Advanced Topics in State-Space Control 10.1. Nonlinear State-Space Models
  10.2. State-Space Methods for Time-Varying Systems
  10.3. Robust Control in State-Space
  10.4. State-Space Methods for Multi-Agent Systems
  10.5. Future Trends in State-Space Control Design

• Appendices 11.1. Mathematical Tools and References
  11.2. Software and Tools for State-Space Analysis
  11.3. Additional Problems and Solutions
  11.4. Glossary of Terms

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