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Dianhao Zheng,Hongbin Zhang,J. Andrew Zhang,Yang Li 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.1
Asynchronous switching differing from asynchronous consensus may hinder the system to reach a consensus. This receives very limited attention, especially when the multi-agent systems have a controller fault. Inorder to analyze the consensus in this situation, this paper studies the consensus of the second-order multi-agentsystems under asynchronous switching with a controller fault. We convert the consensus problems under asynchronousswitching into stability problems and obtain important results for consensus with the aid of linear matrixinequalities. An example is given to illustrate the effect of asynchronous switching on the consensus, and to validatethe analytical results in this paper.
Qunxian Zheng,Hongbin Zhang,Dianhao Zheng 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.3
The stability analysis and asynchronous stabilization problems for a class of discrete-time switchednonlinear systems with stable and unstable subsystems are investigated in this paper. The Takagi-Sugeno (T-S) fuzzymodel is used to represent each nonlinear subsystem. Through using the T-S fuzzy model, the studied systems aremodeled into the switched T-S fuzzy systems. By using the switching fuzzy-basis-dependent Lyapunov functions(FLFs) approach and mode-dependent average dwell time (MDADT) technique, the stability conditions for theopen-loop switched T-S fuzzy systems with unstable subsystems and asynchronous stabilization conditions forthe closed-loop switched T-S fuzzy systems with unstable subsystems are obtained. Both the stability results andasynchronous stabilization results are derived in terms of linear matrix inequalities (LMIs). Finally two numericalexamples are provided to illustrate the effectiveness of the results obtained.