CHARACTERIZATION OF THE L2-INDUCED NORM FOR LINEAR-SYSTEMS WITH JUMPS WITH APPLICATIONS TO SAMPLED-DATA SYSTEMS

被引：108

作者：

SIVASHANKAR, N ^{[1
]}

KHARGONEKAR, PP ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT ELECT ENGN & COMP SCI,ANN ARBOR,MI 48109

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1994年 / 32卷 / 04期

关键词：

SAMPLED-DATA SYSTEMS; H-INFINITY CONTROL THEORY; DIGITAL CONTROL; OPTIMAL CONTROL; RICCATI DIFFERENTIAL EQUATIONS;

D O I：

10.1137/S0363012991223121

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers a continuous-time linear system with finite jumps at discrete instants of time. An iterative method to compute the L2-induced norm of a linear system with jumps is presented. Each iteration requires solving an algebraic Riccati equation. It is also shown that a linear feedback interconnection of a continuous-time finite-dimensional linear time-invariant (FDLTI) plant and a discrete-time finite-dimensional linear shift-invariant (FDLSI) controller can be represented as a linear system with jumps. This leads to an iterative method to compute the L2-induced norm of a sampled-data system.

引用

页码：1128 / 1150

页数：23

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