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Robust sliding mode control of general time-varying delay stochastic systems with structural uncertainties
Sheng-GuoWANG,LibinBAI,MingzhiCHEN
0
(Department of Engineering Technology and Department of Software and Information Systems (Graduate Faculty), University of North Carolina at Charlotte (UNC Charlotte))
摘要:
This paper presents a new robust sliding mode control (SMC) method with well-developed theoretical proof for general uncertain time-varying delay stochastic systems with structural uncertainties and the Brownian noise (Wiener process). The key features of the proposed method are to apply singular value decomposition (SVD) to all structural uncertainties and to introduce adjustable parameters for control design along with the SMC method. It leads to a less-conservative condition for robust stability and a new robust controller for the general uncertain stochastic systems via linear matrix inequality (LMI) forms. The system states are able to reach the SMC switching surface as guaranteed in probability 1. Furthermore, it is theoretically proved that the proposed method with the SVD and adjustable parameters is less conservatism than the method without the SVD. The paper is mainly to provide all strict theoretical proofs for the method and results.
关键词:  Robust control  Time-varying delay systems  Stochastic systems  Lyapunov methods  Sliding mode control  Time-varying systems
DOI:
Received:May 02, 2014Revised:November 17, 2014
基金项目:
Robust sliding mode control of general time-varying delay stochastic systems with structural uncertainties
Sheng-Guo WANG,Libin BAI,Mingzhi CHEN
(Department of Engineering Technology and Department of Software and Information Systems (Graduate Faculty), University of North Carolina at Charlotte (UNC Charlotte);Department of Software and Information Systems, UNC Charlotte;College of Mathematics and Computer Science, Fuzhou University)
Abstract:
This paper presents a new robust sliding mode control (SMC) method with well-developed theoretical proof for general uncertain time-varying delay stochastic systems with structural uncertainties and the Brownian noise (Wiener process). The key features of the proposed method are to apply singular value decomposition (SVD) to all structural uncertainties and to introduce adjustable parameters for control design along with the SMC method. It leads to a less-conservative condition for robust stability and a new robust controller for the general uncertain stochastic systems via linear matrix inequality (LMI) forms. The system states are able to reach the SMC switching surface as guaranteed in probability 1. Furthermore, it is theoretically proved that the proposed method with the SVD and adjustable parameters is less conservatism than the method without the SVD. The paper is mainly to provide all strict theoretical proofs for the method and results.
Key words:  Robust control  Time-varying delay systems  Stochastic systems  Lyapunov methods  Sliding mode control  Time-varying systems