Stability and Robust H-infinity Control for Time-Delayed Systems with Parameter Uncertainties and Stochastic Disturbances

作者：Kim Ki Hoon; Park Myeong Jin; Kwon Oh Min^*; Lee Sang Moon; Cha Eun Jong

来源：Journal of Electrical Engineering and Technology, 2016, 11(1): 200-214.

DOI：10.5370/JEET.2016.11.1.200

• Stochastic disturbances
• Parameter uncertainties
• Time-varying delays
• Lyapunov method

This paper investigates the problem of stability analysis and robust H-infinity controller for time-delayed systems with parameter uncertainties and stochastic disturbances. It is assumed parameter uncertainties are norm bounded and mean and variance for disturbances of them are known. Firstly, by constructing a newly augmented Lyapunov-Krasovskii functional, a stability criterion for nominal systems with time-varying delays is derived in terms of linear matrix inequalities (LMIs). Secondly, based on the result of stability analysis, a new controller design method is proposed for the nominal form of the systems. Finally, the proposed method is extended to the problem of robust H-infinity controller design for a time-delayed system with parameter uncertainties and stochastic disturbances. To show the validity and effectiveness of the presented criteria, three examples are included.

• 出版日期2016-1