Static output-feedback stabilization with optimal L1-gain for positive linear systems
Static output-feedback stabilization with optimal L1-gain for positive linear systems
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DOI：
10.1016/j.automatica.2015.10.025
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Jun Shen;J. Lam
中科院分区：
文献类型：
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作者：
Jun Shen;J. Lam
研究了线性正系统具有最优L1增益的静态输出反馈镇定问题。我们的目标是构造一个静态输出反馈控制器，使得闭环系统是正的，渐近稳定的和L1增益从外源输入调节输出最小化。我们表明，当控制输入或测量输出是一个标量，这个问题可以直接解决通过线性规划通过添加一维搜索。同时指出，所得结果可推广到求解L∞-最优控制器综合问题.最后，通过几个算例说明了理论结果的有效性.
This paper is concerned with the static output-feedback stabilization with optimal L 1-gain for positive linear systems. We aim to construct a static output-feedback controller such that the closed-loop system is positive, asymptotically stable and the L 1-gain from the exogenous input to the regulated output is minimized. We show that when the control input or the measured output is a scalar, this problem can be directly solved via linear programming by adding a one dimensional search. Moreover, it is pointed out that the results can be extended to solve the L∞-optimal controller synthesis problem. Finally, several illustrative examples are given to show the effectiveness of the theoretical results.