图书信息:

书  名:Nonlinear H2/H-Infinity Constrained Feedback Control: A Practical Design Approach Using Neural Networks
作  者:Murad Abu-Khalaf, Jie Huang, Frank L. Lewis
出 版 社:Springer
出版日期:2006
语  种:英语
I S B N:1849965846
页  数:204

内容简介:   

  This book provides techniques to produce robust, stable and useable solutions to problems of H-infinity and H2 control in high-performance, non-linear systems for the first time. The book is of importance to control designers working in a variety of industrial systems. Case studies are given and the design of nonlinear control systems of the same caliber as those obtained in recent years using linear optimal and bounded-norm designs is explained.

英文目录:
Contents
1 Preliminaries and Introduction
   1.1 Nonlinear Systems
     1.1.1 Continuous-time Nonlinear Systems
     1.1.2 Discrete-time Nonlinear Systems
   1.2 Stability of Nonlinear Systems
     1.2.1 Lyapunov Stability of Continuous-time Nonlinear Systems
     1.2.2 Lyapunov Stability of Discrete-time Nonlinear Systems
   1.3 Dissipativity of Nonlinear Systems
     1.3.1 Dissipativity of Continuous-time Nonlinear Systems
     1.3.2 Dissipativity of Discrete-time Nonlinear Systems
   1.4 Optimal Control of Nonlinear Systems
     1.4.1 Dynamic Programming and the HJB Equation
     1.4.2 Discrete-time HJB Equation
   1.5 Policy Iterations and Optimal Control
     1.5.1 Policy Iterations and H2 Optimal Control
     1.5.2 Policy Iterations and the Bounded Real Lemma
   1.6 Zero-sum Games of Nonlinear Systems
     1.6.1 Continuous-time Zero-sum Games: The HJI Equation
     1.6.2 Linear Quadratic Zero-sum Games and H∞ Optimal Control
     1.6.3 Discrete-time HJI equation
   1.7 Neural Networks and Function Approximation
     1.7.1 Neural Networks
     1.7.2 Function Approximation Theorems
   1.8 Bibliographical Notes
2 Policy Iterations and Nonlinear H2 Constrained State Feedback Control
   2.1 Introduction
   2.2 Optimal Regulation of Systems with Actuator Saturation
   2.3 Policy Iterations for Constrained-input Systems
   2.4 Nonquadratic Performance Functionals for Minimum-time and Constrained States Control
     2.4.1 Minimum-time Problems
     2.4.2 Constrained States
   2.5 Bibliographical Notes
3 Nearly H2 Optimal Neural Network Control for Constrained-Input Systems
   3.1 A Neural Network Solution to the LE(V,u)
   3.2 Convergence of the Method of Least Squares to the Solution of the LE(V,u)
   3.3 Convergence of the Method of Least Squares to the Solution of the HJB Equation
   3.4 Algorithm for Nearly Optimal Neurocontrol Design with Saturated Controls: Introducing a Mesh in n \
   3.5 Numerical Examples
     3.5.1 Constrained-input Linear System
     3.5.2 Nonlinear Oscillator with Constrained Input
     3.5.3 Constrained State Linear System
     3.5.4 Minimum-time Control
     3.5.5 Parabolic Tracker
   3.6 Policy Iterations Without Solving the LE(V,u)
   3.7 Bibliographical Notes
4 Policy Iterations and Nonlinear H∞ Constrained State Feedback Control
   4.1 Introduction
   4.2 Policy Iterations and the Nonlinear Bounded Real Lemma
   4.3 L2-gain of Nonlinear Control systems with Input Saturation
   4.4 The HJI Equation and the Saddle Point
   4.5 Solving the HJI Equation Using Policy Iterations
   4.6 Bibliographical Notes
5 Nearly H∞Optimal Neural Network Control for Constrained-Input systems
   5.1 Neural Network Representation of Policies
   5.2 Stability and Convergence of Least Squares Neural Network Policy Iterations
   5.3 RTAC: The Nonlinear Benchmark Problem
   5.4 Bibliographical Notes
6 Taylor Series Approach to Solving HJI Equation
   6.1 Introduction
   6.2 Power Series Solution of HJI Equation
   6.3 Explicit Expression for Hk
   6.4 The Disturbance Attenuation of RTAC System
   6.5 Bibliographical Notes
7 An Algorithm to Solve Discrete HJI Equations Arising from Discrete Nonlinear H∞ Control Problems
   7.1 Introduction
   7.2 Taylor Series Solution of Discrete Hamilton–Jacobi–Isaacs Equation
   7.3 Disturbance Attenuation of Discretized RTAC System
   7.4 Computer Simulation
   7.5 Bibliographical Notes
8 H∞ Static Output Feedback
   8.1 Introduction
   8.2 Intermediate Mathematical Analysis
   8.3 Coupled HJ Equations for H∞ Static Output Feedback Control
   8.4 Existence of Static Output Feedback Game Theoretic Solution
   8.5 Iterative Solution Algorithm
   8.6 H∞ Static Output Feedback Design for F-16 Normal Acceleration Regulator
   8.7 Bibliographical Notes


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