A non-conservative state feedback control methodology for linear systems with state delay

被引:7
作者
Abolpour, Roozbeh [1 ]
Dehghani, Maryam [1 ]
Talebi, Heidar Ali [2 ]
机构
[1] Shiraz Univ, Sch Elect & Comp Engn, Shiraz, Iran
[2] Amirkabir Univ Technol, Dept Elect Engn, Tehran, Iran
关键词
Delay linear system; exposed edges; stability of quasi-polynomial;
D O I
10.1080/00207721.2021.1892235
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the state feedback control for linear systems in the presence of state delay using a direct numerical design methodology. The design algorithm iteratively searches the solution space of controller parameters to find a proper controller gain that guarantees the delay-independent stability of the closed-loop system. The algorithm divides the solution space to some simplexes, selects one simplex and evaluates two checking methods on this simplex. The first method checks the stabilisability of the corner points (to establish the feasible point) and the other detects the total infeasibility (total de-stabilisability) of the simplex (to omit the undesired parts). One interesting property of the method is its capability in detecting total de-stabilisability of a simplex through its corner points. If none of these methods is successful, the simplex is divided into two smaller ones which will be checked in the next algorithm's iterations. According to the direct search nature, the algorithm is non-conservative and assuredly reaches a stabilizable point in the feasible space of the design space. The proposed algorithm and previous methods are evaluated on a set of random generated systems to compare the feasibility of the methods. Simulation results reveal the superiority of the proposed algorithm.
引用
收藏
页码:2549 / 2563
页数:15
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