Fault-tolerant control for uncertain linear systems via adaptive and LMI approaches |
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Authors: | Yan Liu Xiao-Jian Li |
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Affiliation: | 1. College of Information Science and Engineering, Northeastern University, Shenyang 110819, Liaoning, PR China;2. State Key Laboratory of Synthetical Automation of Process Industries, Northeastern University, Shenyang 110819, Liaoning, PR China |
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Abstract: | This paper proposes a fault-tolerant control scheme for linear systems with mismatched uncertainties which are assumed to be norm-bounded, affine and polytopic, respectively. The linear fractional transformation (LFT) and linear matrix inequality (LMI) techniques are introduced to handle the mismatched uncertainties, and the adaptive techniques are used to compensate actuator faults. By using the cone complementary linearisation algorithm, the resulting stability criteria are converted into solvable ones. Then, on the basis of Lyapunov stability theory, it is shown that the solutions to the closed-loop system and error system are uniformly bounded, especially, the states converge asymptotically to zero. Finally, simulations are given to illustrate the effectiveness and advantages of the proposed theoretical results. |
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Keywords: | Adaptive fault-tolerant control LFT LMI robust control mismatched uncertainties |
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