严格反馈系统的部分状态死区自适应扰动抑制控制
Partial-State Deadzone-Adapted Disturbance Suppression Control For Strict-Feedback Systems
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中文总结 AI 辅助
本文扩展了部分状态死区自适应扰动抑制控制到严格反馈系统,通过自适应增益泵升机制实现输出衰减,并扩展到无限维情形。
中文摘要 AI 辅助
本文针对严格反馈系统,对部分状态死区自适应扰动抑制(DADS)自适应控制方案进行了扩展。我们研究了两种情况:带积分器和不带积分器的严格反馈系统。DADS控制器能够在存在(时变)扰动、未知(时变)参数和未知(时变)输入系数的情况下,将输出衰减到一个可指定的小水平;所有这些扰动的界都是任意且未知的。DADS工作的机制与之前所有应用DADS的情况相同:更新律将非线性控制器增益“泵升”到足够大小,使增益适应未知不确定性,并在输出进入残差集后停止进一步泵升增益。结果直接扩展到无限维情形。我们提供了两个简单例子:一个有限维例子和一个无限维例子。有限维例子用于与文献中现有结果进行详细比较。
英文摘要
In this paper we provide an extension of the partial-state Deadzone-Adapted Disturbance Suppression (DADS) adaptive control scheme in the case of strict-feedback systems. We study two cases: the cases of strict-feedback systems with and without integrators. The DADS controller achieves attenuation of the output to an assignable small level, despite the presence of (time-varying) disturbances, unknown (time-varying) parameters and unknown (time-varying) input coefficients; all of them with arbitrary and unknown bounds. The mechanism that makes DADS work is the same in all previously studied cases where DADS has been applied: the update law "pumps up" the nonlinear controller gain to a sufficient size, adapting the gain to the unknown uncertainties, and shuts off further pumping up of the gain once the output is in the residual set. The results are directly extended to the infinite-dimensional case. Two simple examples are provided: one finite-dimensional example and one infinite-dimensional example. The finite-dimensional example is used for a detailed comparison with existing results in the literature.
发表机构
- National Technical University of Athens(雅典国立技术大学)
- University of California, San Diego(加州大学圣地亚哥分校)
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