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第24届中国控制与决策会议

作者： ChENG Wubin, XIAO Shenping, ZENG hongbing, BAI Lei School of Electrical and Information Engineering, hunan University of Technology, Zhuzhou 412008, China.

This paper considers less conservative results on h∞ control for linear systems with interval time-varying delay. In order to essentially improve the existing results of the system with a prescribed level γ of h ∞ disturbance attenuation, reciprocally convex approach is proposed to establish a new delay-dependent bounded real lemma （BRL）. The BRL is applied to solve the h∞ controller design by incorporating with the cone complementary minimization. A numerical example is finally given to show that the proposed method is effective and can provide less conservative results in this paper.

关键词： Reciprocally Convex Approach Stability Interval Time-Varying Delay h ∞ control Linear Matrix Inequality (LMI)

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h_∞ State Feedback Delay-dependent control for Discrete Systems with Multi-time-delay

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International Journal of Automation and computing 2005年第2期2卷 107-113页

作者： Bai-Da Qu control Science and Engineering Center, Southern Yangtze University, 1800 Lihu Road, Wuxi 214122, PRC control Science and Engineering Center Southern Yangtze University Wuxi PRC

In this paper, h ∞ state feedback control with delay information for discrete systems with multi-time-delay is discussed. Making use of linear matrix inequality (LMI) approach, a time-delay-dependent criterion for a discrete system with multi-time-delay to satisfy h ∞ performance indices is induced, and then a strategy for h ∞ state feedback control with delay values for plant with multi-time-delay is obtained. By solving corresponding LMI, a delay-dependent state feedback controller satisfying h ∞ performance indices is designed. Finally, a simulation example demonstrates the validity of the proposed approach. Keywords Multi-time-delay - discrete time system - LMI - delay-dependent - h ∞ control Bai-Da Qu received B. S. degree in electrical automation from Fuxin Mining Institute, China in 1982, M. Eng. degree from hefei University of Polytechnology in 1990, and Ph.D from Northerneastern University in 1999. he was an electro-mechanical engineer at Erdaohezi Mine, heilongjiang, China from 1982 to 1990, a Lecturer, Senior Engineer, Associate Professor and Professor in Shenyang Institue of Technology from 1990 to 2002. he is currently a professor in Communication and control Engineering School, Southern Yangtze University. his research interests include control theory and applications (robust control, h ∞ control, time-delay systems, complex systems), system engineering (modeling, analysis and simulation, MIS,CMIS), power-electronics and electrical driving, signal detecting and process, industrial automation.

关键词： Multi-time-delay discrete time system LMI delay-dependent h ∞ control

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