Decentralized finite-horizon suboptimal control for nonlinear interconnected dynamic systems using SDRE approach

被引：13

作者：

Feydi, Ahmed ^{[1
]}

Elloumi, Salwa ^{[1
]}

Jammazi, Chaker ^{[2
]}

Braiek, Naceur Benhadj ^{[1
]}

机构：

[1] Univ Carthage, Ecole Polytech Tunisie, Lab Syst Avances, Tunis, Tunisia

[2] Univ Carthage, Ecole Polytech Tunisie, Lab Ingn Math, Tunis, Tunisia

来源：

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2019年 / 41卷 / 11期

关键词：

Decentralized suboptimal control; decentralized finite-state-dependent Riccati equation; interconnected nonlinear systems; Lyapunov theory; DESIGN; STABILIZATION;

D O I：

10.1177/0142331218820916

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 introduces a new approach to ensure the decentralized horizon suboptimal control of interconnected nonlinear systems based on the decentralized finite-state-dependent Riccati equation. This approach is, in fact, a new extension of the state-dependent Riccati equation technique with a finite horizon for the case of large-scale nonlinear systems, which are characterized by the interconnection of n subsystems. The main finding in this work is the use of the Lyapunov direct method of stability analysis, associated with a quadratic function, in order to determine a new sufficient condition to guarantee the global asymptotic stability of the studied systems. We conducted advanced simulations of this new control method on three interconnected inverted pendulums. Our results demonstrate its efficiency and the sufficiency of the new stability conditions.

引用

页码：3264 / 3275

页数：12

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