基于准时相关方法的MDADT切换正系统稳定性及增益分析

IEEE Transactions on Systems Man and Cybernetics Part A-Systems and Humans Pub Date : 2021-09-01 DOI:10.1109/TSMC.2019.2956567

Xiaoli Li, Shengli Du, Xudong Zhao

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引用次数: 10

摘要

本文研究了离散时间切换正系统在模式相关平均停留时间(MDADT)切换下的指数稳定性和${1}$增益性能。为了分析系统的稳定性和性能，设计了一种准时相关和模相关的线性组合Lyapunov函数。稳定性条件的发展使得所考虑的DTSPS是指数稳定的，也达到了衰减性能。用线性规划(LP)的方法给出了控制器设计的求解条件，这些条件是准时变和模态相关的。最后通过两个算例验证了所提方案的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability and ℓ1-Gain Analysis for Switched Positive Systems With MDADT Based on Quasi-Time-Dependent Approach

This article is concerned with the exponential stability and $\ell _{1}$ -gain performance analysis of discrete-time switched positive systems (DTSPSs) under mode-dependent average dwell time (MDADT) switching. A novel linear copositive Lyapunov function, which is both quasi-time-dependent and mode-dependent, is designed for the stability and performance analysis. Stability conditions are developed such that the considered DTSPS is exponentially stable and also attains an attenuation performance. The solved conditions for the controllers design are presented in terms of linear programming (LP), and are both quasi-time-dependent and mode-dependent. Two examples are organized to validate the effectiveness of the proposed scheme finally.

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来源期刊

IEEE Transactions on Systems Man and Cybernetics Part A-Systems and Humans 工程技术-计算机：控制论

自引率

0.00%

发文量

审稿时长

6.0 months

期刊介绍： The scope of the IEEE Transactions on Systems, Man, and Cybernetics: Systems includes the fields of systems engineering. It includes issue formulation, analysis and modeling, decision making, and issue interpretation for any of the systems engineering lifecycle phases associated with the definition, development, and deployment of large systems. In addition, it includes systems management, systems engineering processes, and a variety of systems engineering methods such as optimization, modeling and simulation.