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Original Articles

Non-fragile control for discrete-time stochastic nonlinear systems under event-triggered protocols

, , , &
Pages 446-459 | Received 21 Nov 2017, Accepted 15 Feb 2018, Published online: 29 Mar 2018
 

Abstract

In this paper, the non-fragile 2 control problem is investigated for a class of discrete-time stochastic nonlinear systems under event-triggered communication protocols, which determine whether the measurement output should be transmitted to the controller or not. The main purpose of the addressed problem is to design an event-based output feedback controller subject to gain variations guaranteeing the prescribed disturbance attenuation level described by the 2 performance index. By utilizing the Lyapunov stability theory combined with S-procedure, a sufficient condition is established to guarantee both the exponential mean-square stability and the 2 performance for the closed-loop system. In addition, with the help of the orthogonal decomposition, the desired controller parameter is obtained in terms of the solution to certain linear matrix inequalities. Finally, a simulation example is exploited to demonstrate the effectiveness of the proposed event-based controller design scheme.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported in part by the National Natural Science Foundation of China [grant number 61573246], [grant number 61603255] and [grant number 61503001]; the Shanghai Rising-Star Program of China [grant number 16QA1403000]; the Program for Capability Construction of Shanghai Provincial Universities [grant number 15550502500]; and the Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning.

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