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Stability analysis of a combined direct variable structure adaptive control - the discrete-time case

机译:组合直接变结构自适应控制系统的稳定性分析-离散时间

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摘要

This paper presents the proofs of robust stability of a discrete-time robust model reference controller combined with variable structure in an adaptive framework. All the proofs of robust stability are derived for the discrete-time case and are similar to those already existing for the conventional non-combined case. The controller is applied to a SISO LTI plant with unmodeled dynamics of multiplicative and additive types. It is shown that the combined controller can arbitrarily improve the convergence of the error while maintaining the robustness if compared with the non-combined case. Simulation results illustrate the performance of the proposed control strategy. Copyright (C) 2016 John Wiley & Sons, Ltd.
机译:本文提出了在自适应框架下结合变结构的离散时间鲁棒模型参考控制器鲁棒稳定性的证明。鲁棒稳定性的所有证明都是针对离散时间情况得出的,类似于常规非组合情况下已经存在的那些证明。该控制器适用于SISO LTI工厂,该工厂具有乘法和加法类型的无模型动态。结果表明,与非组合情况相比,组合控制器在保持鲁棒性的同时可以任意提高误差的收敛性。仿真结果说明了所提出控制策略的性能。版权所有(C)2016 John Wiley&Sons,Ltd.

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