Asynchronous control of switched Lurie systems with dwell time

Author:

Zhao Wenxiu12,Sun Yuangong1ORCID

Affiliation:

1. School of Mathematical Sciences University of Jinan Jinan China

2. School of Mathematical Sciences Qufu Normal University Qufu China

Abstract

SummaryIn this paper, we study the absolute stability and control problem for switched Lurie system (SLS) under asynchronous switching. A novel Lyapunov‐Lurie function is constructed, which is discontinuous and allowed to increase at the switching instants and the instants when controller modes and system modes are matched. Considering the superiority of time‐varying Lyapunov function technique, this paper is concerned with the Lyapunov‐Lurie function with time‐varying characteristic. Then, based on the switched time‐varying Lyapunov‐Lurie function (STVLLF) and mode‐dependent minimum dwell time (MDMDT) method, some control synthesis conditions are derived. The developed controller can guarantee the absolute stability and ‐gain performance for the closed‐loop SLS with admissible switching lag. Subsequently, a time‐varying control scheme is proposed from the STVLLF. control synthesis conditions in terms of linear matrix inequalities are established, which improve the existing results. Finally, two numerical examples are considered to illustrate the effectiveness of the proposed approaches.

Funder

Natural Science Foundation of Shandong Province

Taishan Scholar Foundation of Shandong Province

National Natural Science Foundation of China

Publisher

Wiley

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