Piecewise linear control systems - a computational approach
Piecewise linear control systems - a computational approach
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发表时间：
2002-12
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通讯作者：
M. Johansson
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作者：
M. Johansson
这本书提出了一个计算方法来分析非线性和不确定系统。主要关注的是分段线性动态系统。类的分段线性系统检查具有非线性，可能是不连续的动态，并允许切换规则，将内存和逻辑。这些系统可能表现出极其复杂的行为。本文将线性系统和二次准则理论的某些方面推广到分段线性系统和分段二次准则。这本书还描述了评估稳定性的数值程序，计算诱导增益，并解决分段线性系统的最优控制问题。这些发展使研究人员能够分析一个大的和实际重要的一类控制系统，不容易处理时，使用其他技术。（减）
This book presents a computational approach to the analysis of nonlinear and uncertain systems. The main focus is systems with piecewise linear dynamics. The class of piecewise linear systems examined has nonlinear, possibly discontinuous dynamics, and allows switching rules that incorporate memory and logic. These systems may exhibit astonishingly complex behaviors. Some aspects of the successful theory of linear systems and quadratic criteria are extended here to piecewise linear systems and piecewise quadratic criteria. The book also describes numerical procedures for assessing stability, computing induced gains, and solving optimal control problems for piecewise linear systems. These developments enable researchers to analyze a large and practically important class of control systems that are not easily dealt with when using other techniques. (Less)