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Stabilization and robustness analysis of multi-module impulsive switched linear systems

NONLINEAR ANALYSIS-HYBRID SYSTEMS 2018年 30卷 293-305页

作者： Ai, Zidong Peng, Lianghong Qingdao Univ Sci & Technol Coll Automat & Elect Engn Qingdao 266061 Peoples R China Southeast Univ Sch Automat Nanjing 210096 Jiangsu Peoples R China

In this work, a class of multi-module impulsive switched linear systems are formulated and their stabilization and robustness issues are studied. A pathwise state-feedback impulsive switching scheme is proposed and proven universal in sense that any asymptotically stabilizable impulsive switched linear system admits such a mechanism steering the system asymptotically stable. It is interesting to find that the designed scheme is flexible in avoiding Zeno phenomena and accommodating perturbations. That motivates us to conduct robustness analysis of the considered system under structural perturbations, unstructural perturbations and impulsive switching signal perturbations. Finally, a numerical example is provided to illustrate the effectiveness of the approach. (C) 2018 Elsevier Ltd. All rights reserved.

关键词： Switched systems Stabilization multi-module impulse Pathwise state-feedback scheme Robustness

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Periodic Stabilization of Continuous-Time multi-module Impulsive Switched Linear Systems

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IEEE ACCESS 2019年 7卷 16648-16654页

作者： Cao, Menglong Ai, Zidong Qingdao Univ Sci & Technol Coll Automat & Elect Engn Qingdao 266061 Peoples R China

This paper mainly investigates periodic stabilization issue for a class of multi-module impulsive switched linear systems. It is proven that the considered system is exponentially stabilizable if there exists a periodic control Lyapunov function whose value decreases periodically rather than at each time instant. A Lyapunov converse theorem is also presented. In particular, a constructive method is used to determine stabilizable impulsive switching law. Moreover, the relaxed set is introduced to reduce the computational complexity, and relaxed versions of Lyapunov theorem and its converse theorem are established. Finally, a numerical example is provided to illustrate the effectiveness of the approach.

关键词： Switched systems periodic stabilization multi-module impulse Lyapunov function

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Exponential Stability for Event-Driven Impulsive Control Systems 7

Exponential Stability for Event-Driven Impulsive Control Sys...

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IEEE 7th Data Driven Control and Learning Systems Conference (DDCLS)

作者： Ai, Zidong Qingdao Univ Sci & Technol Coll Automat & Elect Engn Qingdao 266061 Peoples R China

ISBN: (纸本)9781538626184

In this work, we conduct stability analysis for a class of multi-module impulsive control systems via an event-driven scheme. By designing some event-driven conditions and a proper event-driven impulsive control law, we establish some sufficient stability criteria for the considered systems. The proposed event-driven control scheme is advantageous to reduce the utilization of communication and computation resources. Further, we study the impulsive synchronization problem for two continuous-time dynamical systems with different initial values. Finally, an example of Chua's circuit with simulations results are provided to illustrate the validity of the method.

关键词： Stability Analysis Event-Driven Control multi-module impulse Synchronization

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Exponential Stability for Event-Driven Impulsive Control Systems

Exponential Stability for Event-Driven Impulsive Control Sys...

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IEEE Data Driven Control and Learning Systems Conference

作者： Zidong Ai College of Automation and Electronic Engineering Qingdao University of Science and Technology

ISBN: (纸本)9781538626191

关键词： Stability Analysis Event-Driven Control multi-module impulse Synchronization

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