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Adaptive control of discrete-time systems using multiple models

机译:使用多种模型的离散时间系统的自适应控制

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摘要

The adaptive control of a linear time-invariant discrete-time system using multiple models is considered in this paper. Both the deterministic (noise free) case and the stochastic case when random disturbances are present are discussed. Based on the prediction errors of a finite number of fixed and adaptive identification models, a procedure is outlined for switching between a finite number of controllers to improve performance. The principal contributions of the paper are the proof of global stability of the overall system and the convergence of the tracking error signal to zero in the deterministic case and the proof of convergence of the minimum variance control problem. Computer simulation results are included to complement the theoretical results.
机译:本文考虑了使用多个模型的线性时不变离散时间系统的自适应控制。讨论了确定性(无噪声)情况和存在随机干扰时的随机情况。基于有限数量的固定和自适应识别模型的预测误差,概述了在有限数量的控制器之间切换以提高性能的过程。本文的主要贡献是在确定性情况下证明了整个系统的全局稳定性和跟踪误差信号收敛于零,以及证明了最小方差控制问题的收敛性。包括计算机仿真结果以补充理论结果。

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