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Optimal Robust Guaranteed Cost Control of Uncertain Linear Continuous Time Systems via Dynamical Output Feedback

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2 Author(s)
Chang-Tao Qin ; Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol. ; Guang-Ren Duan

The optimal robust guaranteed cost control problem via dynamical output feedback is studied in this paper for a class of linear continuous time systems with norm-bounded time-varying parametric uncertainties and a given quadratic cost function. Sufficient conditions for the existence of guaranteed cost controllers and a control design method are given in terms of linear matrix inequalities (LMIs). Such that the closed-loop system with cost functions has an upper bound irrespective of all admissible uncertainties. Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal robust guaranteed cost controller which minimizes the guaranteed cost of the closed-loop uncertain system. An algorithm of the proposed approach is given

Published in:

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on  (Volume:1 )

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