Robust H∞ output feedback control for polynomial discrete-time systems

被引：1

作者：

Saat, S. ^{[1
]}

Sakhtivel, R. ^{[2
]}

Hussin, F. A. ^{[3
]}

Sedek, M. ^{[4
]}

机构：

[1] Univ Teknikal Malaysia Melaka, Fac Elect & Comp Technol & Engn, Ctr Telecommun Res & Innovat CeTRI, Durian Tunggal 76100, Melaka, Malaysia

[2] Bharathiar Univ, Dept Appl Math, Coimbatore 641046, Tamil Nadu, India

[3] Univ Teknol Petronas, Elect & Elect Engn Dept, Seri Iskandar 32610, Perak, Malaysia

[4] Univ Teknikal Malaysia Melaka, Adv Mfg Ctr, Durian Tunggal 76100, Melaka, Malaysia

来源：

JOURNAL OF THE FRANKLIN INSTITUTE | 2025年 / 362卷 / 01期

关键词：

Integrator method; H-infinity performance; PDTS; Robust output feedback control; SOS optimization approach; DISSIPATIVE DYNAMICAL-SYSTEMS; NONLINEAR-SYSTEMS; STATE; OPTIMIZATION; INTEGRATOR; CASCADE;

D O I：

10.1016/j.jfranklin.2024.107328

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 aims to design a robust output feedback controller with H Po performance for polynomial discrete-time systems (PDTS). This is due to the lack of research available on PDTS' output feedback control especially when uncertainty is considered in the system. To be specific, the norm-bounded uncertainties are considered instead of polytopic uncertainties and then a so-called ' scaled ' system is established to relate the robust H Po and the nonlinear H Po output feedback control problem. The integrator approach is introduced to overcome the nonconvexity issue when the polynomial Lyapunov function is selected. The controller is obtained by solving the sufficient conditions which are formulated in Polynomial Matrix Inequalities (PMIs) which is then converted into Sum of Squares (SOS) form. Semidefinite Programming (SDP) is used to obtain the results. Finally, the efficacy of the method is shown through numerical examples.

引用

页数：11

共 36 条

[1] H-INFINITY CONTROL FOR NONLINEAR-SYSTEMS WITH OUTPUT-FEEDBACK [J].