Numerical Methods for Linear Control Systems (Hardcover)
暫譯: 線性控制系統的數值方法 (精裝版)

Biswa Datta

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商品描述

Description:

Numerical Methods for Linear Control Systems Design and Analysis is an interdisciplinary textbook aimed at systematic descriptions and implementations of numerically-viable algorithms based on well-established, efficient and stable modern numerical linear techniques for mathematical problems arising in the design and analysis of linear control systems both for the first- and second-order models. MATLAB-based software is included for implementing all of the major algorithms from the book.

 

Table of Contents:

Introduction and Overview; Review of Basic Concepts and Results from Theoretical Linear Algebra; Fundamental Tools and Concepts from Numerical Linear Algebra; Canonical Forms Obtained via Orthogonal Transformations; Linear State Space Models and Solutions of the State Equations; Contollability, Observability and Distance to Uncontrollability; Stability, Inertia and Robust Stability; Numerical Solutions and Conditioning of Lyapunov and Sylvester Equations; Realization and Subspace Identification; Feedback Stabilization, Eigenvalue Assignment and Optimal Control; Numerical Methods and Conditioning of the Eigenvalue Assignment Problems; State Estimation; Numerical Solutions and Conditioning of Algebraic Riccati Equations; Internal Balancing and Model Reduction; Large-Scale Matrix Computations in Control: Krylov Subspace Methods; Numerical Methods for Matrix-Second-Order Control Systems; Existing Software for Control Systems Design and Analysis

 

商品描述(中文翻譯)

描述:

數值方法在線性控制系統設計與分析中的應用是一本跨學科的教科書,旨在系統性地描述和實現基於成熟、高效且穩定的現代數值線性技術的數值可行算法,這些算法針對在線性控制系統設計與分析中出現的數學問題,適用於一階和二階模型。書中包含基於MATLAB的軟體,用於實現所有主要算法。

目錄:

引言與概述;理論線性代數的基本概念與結果回顧;數值線性代數的基本工具與概念;通過正交變換獲得的標準型;線性狀態空間模型及狀態方程的解;可控性、可觀性與不可控性的距離;穩定性、慣性與魯棒穩定性;李雅普諾夫方程與西爾維斯特方程的數值解與條件;實現與子空間識別;反饋穩定化、特徵值配置與最優控制;特徵值配置問題的數值方法與條件;狀態估計;代數里卡提方程的數值解與條件;內部平衡與模型簡化;控制中的大規模矩陣計算:Krylov子空間方法;矩陣二階控制系統的數值方法;現有的控制系統設計與分析軟體。