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A Class Of Discrete Time-varying Delay Systems, Memory Is Non-fragile Control

Posted on:2011-09-05Degree:MasterType:Thesis
Country:ChinaCandidate:J ShangFull Text:PDF
GTID:2208360302998278Subject:Control theory and control engineering
Abstract/Summary:PDF Full Text Request
During the last few decades, computer control systems are widely used in the practical industrial production. Essentially, the computer control systems belong to a class of uncertain discrete-time systems with time-delay; as a result, time-delays and uncertainties are encountered more frequently in practical control systems. Time-delays and uncertainties, which, to a great extent, influent the dynamic performances of systems, go against the analysis and the control of systems and even lead to instabilities of them. Discrete-time systems with time delays and uncertainties have received much attention since such systems have come to play an important role in many branches of science and engineering applications.This paper focuses on a class of discrete-time systems with time-varying delay. Based on the Lyapunov stability theory and using the perfect mathematical tools of linear matrix inequalities (LMIs) and free-weighting matrices, we study the memory non-fragile control problem of a class of discrete-time systems with time-varying delay for further. By designing memory non-fragile controllers for discrete-time systems with time-varying delay, we obtain, respectively, time-dependent sufficiency conditions for three cases:1) closed-loop systems that are asymptotical stable,2) closed-loop systems that are not only asymptotical stable but are even with given H∞disturbance attenuation y under zero initially conditions,3) closed-loop systems that are not only asymptotical stable but even guarantee the certain upper bound of the given cost indexes, and 4) closed-loop systems that are not only asymptotical stable but even with given H∞disturbance attenuation y under zero initially conditions and guarantee the certain upper bound of the given cost indexes. Furthermore, by adopting the parameter adjusting method, we present the parameter design technique for memory non-fragile controllers with additive uncertainties. At last, using the LMI tool box in MATLAB, several numerical examples are provided to demonstrate the feasibility and effectiveness of the results.
Keywords/Search Tags:discrete-time systems, time-delay, the uncertainty, non-fragile control, H_∞control, guaranteed cost control, delay-dependent
PDF Full Text Request
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