鲁棒控制理论教程 [A Course in Robust Control Theory] pdf epub mobi txt 电子书 下载 2025

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[美] 杜拉德 著

出版社： 世界图书出版公司

ISBN：9787510077791

版次：1

商品编码：11582545

包装：平装

丛书名： 经典数学丛书

外文名称：A Course in Robust Control Theory

开本：24开

出版时间：2014-07-01

用纸：胶版纸

页数：417

正文语种：英文

内容简介

　　The text is written to comprise a two-quarter or two-semester graduate course in applied mathematics or engineering. Alternatively, for students with background in state space methods, a serious approach at a significant portion of the material can be achieved in one semester. The material has been successfully taught in this capacity during the past few years by the authors at Caltech, University of Waterloo, University of Illinois, and UCLA. Students are assumed to have some familiarity with linear algebra, and otherwise only advanced calculus and basic complex analysis are strictly required. The presentation style assumes, however, a mathematically inclined reader, since we focus on a complete theoreticaJ foundation rather than on application examples.

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目录

Series Preface
Preface
Figures
0 Introduction
0.1 System representations
0.1.1 Block diagrams
0.1.2 Nonlinear equations and linear decompositions
0.2 R,obust control problems and uncertainty
0.2.1 Stabilization
0.2.2 Disturbances and commands
0.2.3 Unmodeled dynamics
Notes and references

1 Preliminaries in Finite Dimensional Space
1.1 Linear spaces and mappings
1.1.1 Vector spaces
1.1.2 Subspaces
1.1.3 Bases, 8pans, and linear independence
1.1.4 Mappings and matrix representations
1.1.5 Change of basis and invariance
1.2 Subsets and convexity
1.2.1 Some basic topology
1.2.2 Convex sets
1.3 Matrixtheory
1.3.1 Eigenvalues and Jordan form
1.3.2 Self-adjoint, unitary, and positive definite matrices
1.3.3 Singular value decomposition
1.4 Linear matrix inequalities
Exercises
Notes and references

2 State Space System Theory
2.1 The autonomous system
2.2 Controllability
2.2.1 Reachability
2.2.2 Properties of controllability
2.2.3 Stabilizability...
2.2 ,4 Controllability from a single input
2.3 Eigenvalue assignment
2.3.1 Single-input case
2.3.2 Multi-input case
2.4 Observability...
2,4.1 The unobservable subspace
2.4.2 Observers
2.4.3 Observer-based Controllers
2.5 Minimal realizations
2.6 Transfer functions and state space
2.6.1 R,ational matrices and state space realizations
2.6.2 Minimality
Exercises
Notes and references

3 Linear Analysis
3.1 Normed and inner product spaces
3.1 ,1 Complete spaces
3.2 Operators
3.2.1 Banach algebras
3.2.2 Some elements of spectral theory
3.2.3 Adjoint operators in Hilbert space
3.3 Frequency domain spaces: Signals
3.3.1 The space /2 and the Fourier transform
3.3.2 The spaces H2 and H21 and the Laplace transform
3.3.3 Summarizing the big picture
3.4 Frequency domain spaces: Operators
3.4.1 Time invariance and multiplication operators
3.4.2 Causality with time invariance
……

前言/序言

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