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With input saturation Guaranteed Cost Control for Uncertain Systems

Author: JiaZiQi
Tutor: ZuoZhiQiang
School: Tianjin University
Course: Control Theory and Control Engineering
Keywords: Nonlinear saturation Delays Uncertainty Guaranteed cost control LMI
CLC: TP13
Type: Master's thesis
Year: 2008
Downloads: 56
Quote: 1
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Abstract


Saturation exists widely in various physical systems , such as chemical plants , mechanical systems , and network communication systems. Input saturation tends to seriously affect the system performance , and even lead to system instability. On the other hand , the construction of the actual conditions of the control system due to the environment, equipment errors and other factors , so that it with our analysis, synthesis between the mathematical model can not match exactly , there will be some uncertainty. In addition, the delay is also prevalent in the actual control system in a class of phenomena that can not be ignored , is to reduce the system performance and even cause system instability important reasons. Firstly, for with parameter uncertainty and input saturation control system for analysis. Assume that the system uncertain parameters are norm bounded , Lyapunov stability theory , combined with some inequality, given the system memoryless state feedback guaranteed cost controller, which makes the system robust stability and to quadratic cost function satisfies certain cost targets. We were on the continuous and discrete systems studied, numerical examples used in this paper demonstrate the feasibility and effectiveness. Secondly , consider a saturation characteristic uncertain system guaranteed cost control problem. Use of Lyapunov-Razumikhin stability theory , combining Leibniz-Newton formula and the existing inequality techniques were derived delay-independent and delay-dependent robust guaranteed cost controller sufficient conditions for existence . Controller parameters is given by the LMI feasible solution which minimizes the quadratic cost function of the optimal guaranteed cost controller can be obtained by solving LMI constraints with convex optimization problem to get .

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