Robust Finite‐Time H∞ Control of a Class of Disturbed Systems using Lmi‐Based Approach |
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Authors: | Xiaoyu Zhang Jihong Zhong Quan Zhang Kemao Ma |
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Affiliation: | College of automation, Harbin Engineering University, Harbin, China |
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Abstract: | In this paper, the definition of robust finite‐time H∞ control is presented for a class of disturbed systems. Time‐varying norm‐bounded exogenous disturbance is considered in the system. A state feedback controller is designed, via a Linear Matrix Inequalities (LMIs) approach, which ensures that the closed‐loop system is finite‐time bounded (FTB) and reduces the effect of the disturbance input on the controlled output to a prescribed level. The main result, derived by Lyapunov functions, is a sufficient condition for FTB of disturbed systems and the sufficient condition can be reduced to a feasibility problem involving LMIs. Then a DC motor position control problem is simulated as a demonstration for this study. Simulation results are presented to show the effectiveness of the proposed method as a promising approach for controlling similar disturbed systems. |
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Keywords: | Finite‐time boundedness H∞ control robust control linear matrix inequalities (lmis) uncertain systems |
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