Ultimate bound minimisation by state feedback in discrete-time switched linear systems under arbitrary switching

被引：3

作者：

Heidari, Rahmat ^{[1
]}

Braslaysky, Julio H. ^{[2
]}

Seron, Maria M. ^{[1
]}

Haimovich, Hernan ^{[3
]}

机构：

[1] Univ Newcastle, Sch Elect Engn & Comp Sci, Prior Res Ctr Complex Dynam Syst & Control CDSC, Callaghan, NSW 2308, Australia

[2] Australian Commonwealth Sci & Ind Res Org CSIRO, Energy Flagship, Newcastle, NSW 2300, Australia

[3] Univ Nacl Rosario, Fac Ciencias Exactas Ingn & Agrimensura, Dept Control, CIFASIS CONICET, RA-2000 Rosario, Santa Fe, Argentina

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2016年 / 21卷

关键词：

Control of switched systems; Eigenstructure assignment; Ultimate bounds; Bounded disturbances; INVARIANT-SETS; CONTROL DESIGN; STABILITY; STABILIZABILITY; CRITERIA;

D O I：

10.1016/j.nahs.2016.02.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present a novel state feedback design method for perturbed discrete-time switched linear systems. The method aims at achieving (a) closed-loop stability under arbitrary switching and (b) minimisation of ultimate bounds for specific state components. Objective (a) is achieved by computing state feedback matrices so that the closed-loop subsystem evolution matrices generate a solvable Lie algebra (namely, they are all upper triangular in a common coordinate basis). Previous results derived an iterative algorithm that computes the required feedback matrices, and established conditions under which this procedure is possible. Based on these conditions, objective (b) is achieved by exploiting available degrees of freedom in the iterative algorithm. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：84 / 102

页数：19

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