Robust sliding mode control of general time-varying delay stochastic systems with structural uncertainties
Sheng-Guo WANG
Libin BAI
Mingzhi CHEN
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.
机标关键词：stochastic systemssingular value decompositionlinear matrix inequalitysliding mode controlswitching surfacerobust controllerrobust stabilitycontrol design
资助基金：This work was partial y supported by the National Science Foundation Grants (Nos)This work was partial y supported by the National Science Foundation Grants (0940662)This work was partial y supported by the National Science Foundation Grants (1115564)
论文发表日期：2014-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：11( 357-367 )
英文信息