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A Novel Dissipativity-Based Control for Inexact Nonlinearity Cancellation Problems

机译:不精确非线性抵消问题的基于耗散的新型控制

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摘要

When dealing with linear systems feedback interconnected with memoryless nonlinearities, a natural control strategy is making the overall dynamics linear at first and then designing a linear controller for the remaining linear dynamics. By canceling the original nonlinearity via a first feedback loop, global linearization can be achieved. However, when the controller is not capable of exactly canceling the nonlinearity, such control strategy may provide unsatisfactory performance or even induce instability. Here, the interplay between accuracy of nonlinearity approximation, quality of state estimation, and robustness of linear controller is investigated and explicit conditions for stability are derived. An alternative controller design based on such conditions is proposed and its effectiveness is compared with standard methods on a benchmark system.
机译:当处理与无记忆非线性互连的线性系统反馈时,自然的控制策略是首先使整体动力学线性化,然后为其余的线性动力学设计线性控制器。通过经由第一反馈回路消除原始非线性,可以实现全局线性化。但是,当控制器不能完全消除非线性时,这种控制策略可能会提供不令人满意的性能,甚至引起不稳定性。在此,研究了非线性逼近的准确性,状态估计的质量以及线性控制器的鲁棒性之间的相互作用,并推导了明确的稳定性条件。提出了一种基于这种条件的替代控制器设计,并将其有效性与基准系统上的标准方法进行了比较。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第2期|319761.1-319761.13|共13页
  • 作者单位

    Univ Florence, Dipartimento Ingn Informaz, I-50139 Florence, Italy.;

    Univ Liverpool, Sch Engn, Liverpool L69 3GH, Merseyside, England.;

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