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A repetitive learning control for bilinear parametric systems with unknown time-varying delays. (Chinese. English summary) Zbl 1313.93109

Summary: A repetitive learning control strategy is developed for a class of bilinear parametric time-varying systems with mixed unknown time-varying and time-invariant parameters and unknown time varying delay. The proposed control law includes a differential-difference coupled-type adaptive law used to estimate the unknown time-varying parameters and an adaptive repetitive learning control. By constructing a Lyapunov-Krasovskii energy function, we prove the stability of the closed loop system and the asymptotic convergence of the tracking error. The simulation results confirm the effectiveness of the proposed control scheme.

MSC:

93C40 Adaptive control/observation systems
93C10 Nonlinear systems in control theory
68T05 Learning and adaptive systems in artificial intelligence
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