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Design of adaptive dual control systems with non-stochastic bounded uncertainty description

机译：具有非随机有界不确定性描述的自适应双控制系统设计

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摘要

Important class of adaptive control systems with non-stochastic description of the uncertainty and disturbances is considered. New approach to the design of the non-stochastic adaptive dual control algorithms is suggested. The elaborated approach is based on the introducing of two new cost functions for optimisation of the control signal and exiting signal added to the control signal. The ellipsoid bounded estimation of the plant parameters is used for the plant parameter estimation and indirect adaptation. This estimation method was also named set-membership estimation. The approach is introduced and described comprehensive using simple controller of self-tuning type. The designed controller, which is used as an example to demonstrate the new suggested method, can be applied to control of nonminimumphase plants. The method can be extended to adaptive controllers of various other types. The violent contrast is attributed to the suggested design method as compared with other dual control approaches for non-stochastic systems with set-membership estimation. The method allows designing of non-stochastic dual adaptive controllers that are very simple computational and consist of the cautious controller with the optimal excitations. Non-stochastic adaptive dual controllers, which are designed using suggested approach, have superiorities over the similar controllers based on the certainty equivalence approach because of the properties of caution and optimal excitation.
机译：考虑了具有不确定性和干扰的非随机描述的一类重要的自适应控制系统。提出了一种新的非随机自适应双控制算法设计方法。精心设计的方法基于引入两个新的成本函数，用于优化控制信号和添加到控制信号的退出信号。植物参数的椭球有界估计用于植物参数估计和间接适应。该估计方法也称为集合成员估计。使用简单的自调整型控制器对该方法进行了全面的介绍和描述。以设计的控制器为例，以演示所建议的新方法，该控制器可用于非最小相电厂的控制。该方法可以扩展到各种其他类型的自适应控制器。强烈的对比归因于所建议的设计方法，而其他非随机系统的具有集员估计的双重控制方法则与之形成对比。该方法允许设计非随机的双自适应控制器，其计算非常简单，并且由具有最佳激励的谨慎控制器组成。使用谨慎方法设计的非随机自适应双控制器由于具有谨慎性和最佳激励特性，因此比基于确定性等效方法的同类控制器具有优势。

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