6533b7d2fe1ef96bd125ec77

RESEARCH PRODUCT

Asynchronous L1 control of delayed switched positive systems with mode-dependent average dwell time

Hamid Reza KarimiMei XiangZhengrong Xiang

subject

Asynchronous switchingInformation Systems and ManagementAsynchronous switching; Average dwell time; Positive system; Switched system; Time-varying delay; Artificial Intelligence; Software; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern Recognition; Information Systems and ManagementStability criterionComputer scienceLinear systemPositive systemComputer Science Applications1707 Computer Vision and Pattern RecognitionPositive systemsTime-varying delayStability (probability)Computer Science ApplicationsTheoretical Computer ScienceDwell timeExponential stabilityArtificial IntelligenceControl and Systems EngineeringControl theoryAsynchronous communicationAverage dwell timeSwitched systemSoftware

description

Abstract This paper investigates the stability and asynchronous L 1 control problems for a class of switched positive linear systems (SPLSs) with time-varying delays by using the mode-dependent average dwell time (MDADT) approach. By allowing the co-positive type Lyapunov–Krasovskii functional to increase during the running time of active subsystems, a new stability criterion for the underlying system with MDADT is first derived. Then, the obtained results are extended to study the issue of asynchronous L 1 control, where “asynchronous” means that the switching of the controllers has a lag with respect to that of system modes. Sufficient conditions are provided to guarantee that the resulting closed-loop system is exponentially stable and has an L 1 -gain performance. Finally, two numerical examples are given to show the effectiveness of the developed results.

yearjournalcountryeditionlanguage
2014-09-01Information Sciences
https://doi.org/10.1016/j.ins.2014.03.086