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Suboptimal digital LQ output feedback control design via LMI relaxations

机译：通过LMI松弛实现次佳的数字LQ输出反馈控制设计

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摘要

This paper deals with suboptimal linear quadratic (LQ) output feedback control of linear discrete systems. It is shown that degree of freedoms by instrumental variables employed in this paper lead to much flexibility in obtaining a suboptimal LQ controller. An improved convex optimization method involving linear matrix inequalities (LMIs) is suggested to solve the matrix inequalities characterizing a solution of the suboptimal LQ problem. Of the major interest of this paper is an extension to a class of nonconvex LQ problems of large size arising in decentralized feedback, simultaneous control, periodic feedback control, etc. Illustrative examples demonstrate the validity of the proposed convex approximate approach to optimal LQ output feedback control. Also, it is shown that suboptimal LQ solutions obtained by the proposed method can be used as an initial feasible point of existing iterative LMI algorithms to improve the feasibility of the iterative methods.
机译：本文研究线性离散系统的次优线性二次（LQ）输出反馈控制。结果表明，本文采用的工具变量的自由度在获得次优LQ控制器方面具有很大的灵活性。提出了一种改进的涉及线性矩阵不等式（LMI）的凸优化方法，以解决表征次优LQ问题的矩阵不等式。本文的主要兴趣是扩展一类由分散反馈，同时控制，周期反馈控制等引起的大尺寸非凸LQ问题。说明性示例证明了所提出的凸近似方法对于最优LQ输出反馈的有效性控制。而且，表明通过该方法获得的次优LQ解可以用作现有迭代LMI算法的初始可行点，从而提高了迭代方法的可行性。

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