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A new method for mixed H{sub}2/H{sub}∞ control with regional pole constraints

机译:具有区域极点约束的H {sub} 2 / H {sub}∞混合控制的新方法

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摘要

In this paper, the problem of state feedback mixed H{sub}2/H{sub}∞ control with regional pole constraints is studied. The constraint region is represented by several algebraic inequalities. This constrained optimization problem cannot be solved via the LMI approach. Based on the barrier method, we instead solve an auxiliary minimization problem to get an approximate solution. We shall show that the obtained minimal solution of the auxiliary minimization problem can be arbitrarily close to the infimal solution of the original problem. An example is provided to illustrate the benefits of the approach.
机译:本文研究了具有区域极点约束的状态反馈H {sub} 2 / H {sub}∞混合控制问题。约束区域由几个代数不等式表示。这种受约束的优化问题无法通过LMI方法解决。相反,基于势垒方法,我们解决了辅助最小化问题以获得近似解。我们将证明所获得的辅助最小化问题的最小解可以任意接近原始问题的最小解。提供了一个示例来说明该方法的好处。

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