Partial-period adaptive repetitive control by symmetry. (English) Zbl 1257.93062
Summary: This paper presents a partial-period adaptive repetitive control method for a class of periodically time-varying nonlinear systems. To reduce the size of memory usage, the symmetric feature of periodic parameters is explored to form partial-period adaptation mechanisms. Both half- and quarter-period adaptation strategies are proposed, and characterized analytically. The stability of the closed-loop system with each repetitive control is established, along with tracking error convergence to zero. In addition, the saturated-adaptation is suggested for providing bounded estimation.
MSC:
| 93C55 | Discrete-time control/observation systems |
| 39A23 | Periodic solutions of difference equations |
| 93C40 | Adaptive control/observation systems |
Keywords:
symmetry; partial-period adaptation; saturated-adaptation; repetitive control; periodic systems; time-varying parametrizationReferences:
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