Adaptive MIMO Multi-Periodic Repetitive Control System: Liapunov Analysis
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چکیده
This paper presents a simple feed forward adaptive multi-periodic repetitive control scheme for the ASPR(Almost Strictly Positive Real) or ASNR(Almost Strictly Negative Real, See Appendix for definition) plant to asymptotically track/reject multi-periodic reference/disturbance signals. The lyapunov stability analysis is given. This is an extension work of the lyapunov stability analysis for multi-periodic repetitive control system under a positive real condition. A simulation is included. The extension of the lyapunov stability analysis to ASPR or ASNR plant under certain non-linear perturbations and an exponential stability scheme are discussed as well. Finally an adaptive proportional plus multi-periodic repetitive control scheme is proposed.
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تاریخ انتشار 2004