Observer-based tracking control design for periodic piecewise time-varying systems

被引:1
作者
Harshavarthini, S. [1 ]
Sakthivel, R. [1 ]
Satheesh, T. [1 ]
Almakhles, Dhafer J. [2 ]
机构
[1] Bharathiar Univ, Dept Appl Math, Coimbatore 641046, Tamil Nadu, India
[2] Prince Sultan Univ, Dept Commun & Networks Engn, Riyadh, Saudi Arabia
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2022年 / 359卷 / 14期
关键词
GUARANTEED COST CONTROL; NONLINEAR-SYSTEMS; RELIABLE CONTROL; DELAY; STABILIZATION; STABILITY; FEEDBACK;
D O I
10.1016/j.jfranklin.2022.08.001
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this study, the problem of robust tracking problem for continuous-time periodic piecewise time-varying delay systems with disturbances and uncertainties has been examined by using observer-based H-infinity tracking control protocol. Precisely, the state space representation of the system is formulated to reconstruct the unmeasurable states via the available informations of input/output dynamics. Based on the suitable Lyapunov-Krasovskii functional with periodic piecewise time-varying Lyapunov matrix, a set of sufficient conditions in the form of linear matrix inequalities is derived which affirms the robust asymptotic tracking performance and satisfactory disturbance attenuation for the addressed model. Particularly, the matrix polynomial approach is utilized which makes the analysis to be more flexible and amenable to convex optimization tool. Accordingly, the period time-varying controller and observer gains are computed through the feasible solution of derived matrix inequalities. Conclusively, the simulation results are presented to confirm the efficiency and applicability of the theoretical outcomes. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:7262 / 7282
页数:21
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