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Robust Dissipative generalized bilinear control systems

Author: XiaoMeiE
Tutor: SuXiaoMing
School: Shenyang University of Technology
Course: Applied Mathematics
Keywords: Bilinear singular systems Robust Stability Strictly dissipative Observer Linear matrix inequality (LMI)
Type: Master's thesis
Year: 2012
Downloads: 28
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1970s , Willems presented in the course of research systems play a crucial role in the stability of dissipative systems theory . Its essential meaning is to find a non-negative energy storage function , to ensure the system 's energy supply rate is always greater than the system 's energy consumption. Bilinear generalized linear system is the closest to a class of nonlinear singular systems with singular system , and more than linear singular systems closer to the actual model , widely exists in real life . In the actual control system, due to various reasons, delay and uncertainty are ubiquitous , but they are also cause the control system instability two main factors. Therefore, the study bilinear singular systems robust dissipative control problem is very real sense. In this paper, the generalized bilinear system delay and uncertainty , using linear matrix inequality (LMI) method, the bilinear singular systems robust dissipative control problem is studied . This paper studies Uncertain Singular Systems dissipative bilinear control problems . Delay bilinear generalized system first introduced the concept of dissipative uncertainty ; Then, based on the generalized Lyapunov stability theory, the use of LMI approach gives Uncertain bilinear generalized robust stability and strictly dissipative sufficient conditions are given such that the closed-loop system is robustly stable and strictly dissipative state feedback controller design method ; numerical example shows that the method is feasible and effective. Secondly, the discussion based on observer with time-varying delay and uncertainty bilinear singular systems robust dissipative control problem . Using the quadratic supply rate and linear matrix inequality approach to design a closed-loop system that allows the uncertainty is robustly stable and strictly dissipative observer -based controller, and by solving the corresponding observer LMI and controllers. Finally, a numerical example of the proposed method is validated . Finally, the study of the controller parameters with uncertainties uncertain singular systems with bilinear elastic Robust dissipative control problem. By solving linear matrix inequalities , given the closed-loop system is robustly stable and strictly dissipative elastic state feedback controller design method . Simulation example of the proposed method.

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