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L2-based static output feedback controller design for a class of polytopic systems with actuator saturation
International Journal of Control ( IF 1.6 ) Pub Date : 2021-03-23 , DOI: 10.1080/00207179.2021.1900605
Jitendra KumarGoyal 1 , Shubham Aggarwal 1 , Sandip Ghosh 1 , Shyam Kamal 1 , Pawel Dworak 2
Affiliation  

ABSTRACT

This paper presents a robust L2-based Static Output Feedback (SOF) controller design for a class of linear continuous-time polytopic systems subject to actuator saturation, which is a feature common to vast industrial processes. New sufficient LMI conditions are derived for the design of SOF controllers using parameter-dependent Lyapunov function. The development incorporates the decomposition of an auxiliary matrix variable so that approximation in deducing the LMIs involve reduced-size matrices. In addition, L2 performance under the constraint of actuator saturation is considered to develop a framework of a considerably complete problem. Several design cases are taken to demonstrate the efficacy of the proposed method. Moreover, the completeness of the design is illustrated through experimental results on a twin-rotor MIMO system, and comparison of the results is presented with those existing in the literature.



中文翻译:

一类执行器饱和多面体系统的基于L2的静态输出反馈控制器设计

摘要

本文提出了一个稳健的大号2-基于静态输出反馈 (SOF) 控制器设计,用于一类线性连续时间多面体系统,该系统受致动器饱和影响,这是广泛工业过程的共同特征。使用参数相关的 Lyapunov 函数为 SOF 控制器的设计推导了新的充分 LMI 条件。该开发结合了辅助矩阵变量的分解,因此在推导 LMI 时的近似涉及尺寸减小的矩阵。此外,大号2执行器饱和约束下的性能被认为是开发一个相当完整问题的框架。采用几个设计案例来证明所提出方法的有效性。此外,通过在双转子 MIMO 系统上的实验结果说明了设计的完整性,并将结果与​​现有文献进行了比较。

更新日期:2021-03-23
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