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Stabilization with optimal performance for dissipative discrete-time impulsive hybrid systems

Date

2010

Authors

Yan, Lamei
Liu, Bin

Journal Title

Journal ISSN

Volume Title

Publisher

Hindawi Publishing Corporation

Abstract

This paper studies the problem of stabilization with optimal performance for dissipative DIHS (discrete-time impulsive hybrid systems). By using Lyapunov function method, conditions are derived under which the DIHS with zero inputs is GUAS (globally uniformly asymptotically stable). These GUAS results are used to design feedback control law such that a dissipative DIHS is asymptotically stabilized and the value of a hybrid performance functional can be minimized. For the case of linear DIHS with a quadratic supply rate and a quadratic storage function, sufficient and necessary conditions of dissipativity are expressed in matrix inequalities. And the corresponding conditions of optimal quadratic hybrid performance are established. Finally, one example is given to illustrate the results.

Description

Keywords

Citation

Source

Advances in Difference Equations

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1155/2010/278240

Restricted until

2037-12-31