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Non-fragile robust stabilization and control for uncertain stochastic nonlinear time-delay systems |
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| Authors: | Jinhui Zhang Peng Shi Hongjiu Yang |
| Affiliation: | aDepartment of Automatic Control, Beijing Institute of Technology, Beijing 100081, China;bFaculty of Advanced Technology, University of Glamorgan, Pontypridd CF37 1DL, UK;cILSCM, School of Science and Engineering, Victoria University, Melbourne, Vic. 8001, Australia;dSchool of Mathematics and Statistics, University of South Australia, Mawson Lakes, SA 5095, Australia |
| Abstract: | This paper deals with the problem of non-fragile robust stabilization and H∞ control for a class of uncertain stochastic nonlinear time-delay systems. The parametric uncertainties are real time-varying as well as norm bounded. The time-delay factors are unknown and time-varying with known bounds. The aim is to design a memoryless non-fragile state feedback control law such that the closed-loop system is stochastically asymptotically stable in the mean square and the effect of the disturbance input on the controlled output is less than a prescribed level for all admissible parameter uncertainties. New sufficient conditions for the existence of such controllers are presented based on the linear matrix inequalities (LMIs) approach. Numerical example is given to illustrate the effectiveness of the developed techniques. |
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