Linear Multivariable Control Systems

Shankar P. Bhattacharyya, Lee H. Keel

• Publisher: Cambridge University Press
• Year: 2022
• Print ISBN: 9781108841689
• eBook ISBN: 9781108899277
• Topic: Technology & Engineering
• Subtopic: Engineering General
• Index: Technology & Engineering

This rigorous yet accessible textbook provides broad and systematic coverage of linear multivariable control systems, including several new approaches to design. In addition to standard state space theory, it provides a new measurement-based approach to linear systems, including a generalization of Thevenin's Theorem, a new single-input single-output approach to multivariable control, and analytical design of PID controllers developed by the authors. Each result is rigorously proved and combined with specific control systems applications, such as the servomechanism problem, the fragility of high order controllers, multivariable control, and PID controllers. Illustrative examples solved using MATLAB and SIMULINK, with easily reusable programming scripts, are included throughout. Numerous end-of-chapter homework problems enhance understanding. Based on course-tested material, this textbook is ideal for a single or two-semester graduate course on linear multivariable control systems in aerospace, chemical, electrical and mechanical engineering.

Table of contents

• Cover
• Half-title Page
• Title Page
• Copyright Page
• Contents
• 1 A Measurement-Based Approach to Linear Systems
• 2 Classical Control Theory: A Brief Overview
• 3 The [A,B,C,D] State-Variable Model
• 4 Modal Structure of State-Space Systems
• 5 Controllability, Observability, and Realization Theory
• 6 State Feedback, Observers, and Regulators
• 7 The Optimal Linear Quadratic Regulator
• 8 H[sub(∞)] and H[sub(2)] Optimal Control
• 9 The Linear Multivariable Servomechanism
• 10 Robustness and Fragility of Control Systems
• 11 Analytical Design of PID Controllers
• 12 Multivariable Control Using Single-Input Single-Output Methods
• Appendix
• References
• Index