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首页> 外文期刊>IEEE Transactions on Automatic Control >Bounds on achievable performance in the identification and adaptivecontrol of time-varying systems
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Bounds on achievable performance in the identification and adaptivecontrol of time-varying systems

机译:时变系统的辨识与自适应控制中可达到的性能界限

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摘要

Treats the identification and adaptive control of time-varying linear systems. For linear systems with a Gauss-Markov parameter process a global lower bound on the mean square error is obtained which is valid for any causal parameter estimator. A similar lower bound is obtained for any causal, one step-ahead predictor. These bounds are applied to the adaptive control of time-varying systems to obtain a lower bound on closed-loop mean square performance for any causal control law. For a specific control law, mean square stability is established, and through simulations it is seen that the performance nearly meets the theoretical lower bound
机译:处理时变线性系统的识别和自适应控制。对于具有高斯-马尔可夫参数过程的线性系统,将获得均方误差的全局下界,这对于任何因果参数估计器均有效。对于任何因果,一个超前预测变量,都获得了相似的下限。将这些界限应用于时变系统的自适应控制,以针对任何因果控制定律获得闭环均方性能的下限。对于特定的控制定律,建立了均方稳定度,并且通过仿真发现性能几乎满足理论下限

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