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Robust dissipative analysis and control of the affine Uncertain Descriptor Systems

Author: LiuLiPing
Tutor: DongXinZhuang
School: Qingdao University
Course: Control Theory and Control Engineering
Keywords: Affine uncertainty Generalized quadratic stability Linear matrix inequalities Strictly dissipative
CLC: TP13
Type: Master's thesis
Year: 2011
Downloads: 26
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Abstract


The generalized system is a more general and has a broad application background power system, has been used to describe many of the actual system , economic system , electronic networks , electric power systems , robot systems and aerospace systems, etc. , so has its research important theoretical and practical values ??. The dissipation theory plays a very important role in the study of the control system . Its essential meaning there is a non-negative energy function ( storage function ) makes the system 's total energy loss is less than a given rate of energy supply . Dissipation theory is the the Circle Criterion theorem the Kalman - Yacubovitch for lemma, bounded real lemma , as well as passive theory generalization . In actual engineering control system , often due to modeling errors , measurement errors , change of work environment factors , making the existence of uncertainty in the system is objective and inevitable . These uncertainties often undermine the stability of the system , or other properties of the system can not keep robustness analysis and synthesis of uncertain systems is necessary . This paper studies affine Uncertain Descriptor Systems Robust dissipative analysis and robust dissipative control problems . Parameter dependent Lyapunov function and linear matrix inequality (LMI) method , has been more than a sufficient condition to guarantee affine uncertain generalized system Generalized quadratic stable and strictly dissipative , and the relations between these sufficient condition analyzed and discussed . Independent of the parameters and parameter -dependent Lyapunov function given the conditions for the existence of state feedback robust dissipative controller , and using linear matrix inequality (LMI) solution corresponding controller is constructed to ensure that the closed-loop affine determine the generalized system of generalized quadratically stable and strictly dissipative . All of the above theoretical results are verified by a numerical example

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