Semi-time-dependent stabilization for a class of continuous-time impulsive switched linear systems

IF 3.2 Q2 AUTOMATION & CONTROL SYSTEMS Systems Science & Control Engineering Pub Date : 2022-05-10 DOI:10.1080/21642583.2022.2074170
Jitai Liang
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Abstract

In this paper, the stability and stabilization problems of a class of impulsive switched linear systems with mode-dependent persistent dwell-time (MPDT) switching are investigated in continuous-time domain. The proposed switching law is more general, which not only covers the widely probed dwell-time (DT) and average dwell-time (ADT) as special cases but also extends the persistent dwell time (PDT) in the literature. By invoking novel modal partition time-dependent multiple Lyapunov-like functions, the stability criteria for the systems under MPDT switching in nonlinear settings are established as a first attempt, upon which the desired mode-dependent and semi-time-dependent (STD) stabilizing controllers for continuous-time impulsive switched linear systems are designed. It is demonstrated that the control performance is improved as both the length of admissible MPDT and the number of time partition segment are added. Finally, a numerical example is provided to illustrate the potential of the obtained theoretical results.
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一类连续时间脉冲切换线性系统的半时间相关镇定
研究了一类具有模相关持续停留时间(MPDT)切换的脉冲切换线性系统在连续时域上的稳定性和镇定问题。所提出的开关律更为普遍,不仅涵盖了广泛探测的停留时间(DT)和平均停留时间(ADT)作为特例,而且扩展了文献中的持续停留时间(PDT)。通过调用新颖的模态划分时变多重类李雅普诺夫函数,首次建立了非线性设置下MPDT切换下系统的稳定性判据,并在此基础上设计了连续时间脉冲切换线性系统的模态相关和半时相关稳定控制器。结果表明,随着可容许MPDT长度和分时段数量的增加,控制性能得到了改善。最后给出了一个数值算例来说明所得理论结果的潜力。
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来源期刊
Systems Science & Control Engineering
Systems Science & Control Engineering AUTOMATION & CONTROL SYSTEMS-
CiteScore
9.50
自引率
2.40%
发文量
70
审稿时长
29 weeks
期刊介绍: Systems Science & Control Engineering is a world-leading fully open access journal covering all areas of theoretical and applied systems science and control engineering. The journal encourages the submission of original articles, reviews and short communications in areas including, but not limited to: · artificial intelligence · complex systems · complex networks · control theory · control applications · cybernetics · dynamical systems theory · operations research · systems biology · systems dynamics · systems ecology · systems engineering · systems psychology · systems theory
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