ROBUST MPC CONTROLLER DESIGN FOR SWITCHED SYSTEMS USING MULTI-PARAMETER DEPENDENT LYAPUNOV FUNCTION

Vojtech Vesely; Danica Rosinova

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ROBUST MPC CONTROLLER DESIGN FOR SWITCHED SYSTEMS USING MULTI-PARAMETER DEPENDENT LYAPUNOV FUNCTION

机译：基于多参数相关李雅普诺夫函数的开关系统鲁棒MPC控制器设计

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摘要

The paper addresses the problem of designing a robust output/state model predictive control for linear polytopic switched systems. We propose a new method for calculation of control algorithm parameters for predictive robust control of a linear switched polytopic system. Lyapunov function approach guarantees the multi-parameter-dependent quadratic stability (MPDQS) and guaranteed cost for a closed-loop system. In the proposed control scheme the required on line computation load is significantly less than that in MPC references, which opens possibility to use this control design scheme not only for plants with slow dynamics but also for faster ones. Sufficient robust stability conditions are given in the form of BMI and respective heuristic LMI iterative algorithm. The examples show the effectiveness of the proposed output feedback design method.

机译：本文解决了为线性多主题切换系统设计鲁棒的输出/状态模型预测控制的问题。我们提出了一种计算控制算法参数的新方法，该算法用于线性交换多变量系统的预测鲁棒控制。 Lyapunov函数方法保证了多参数相关的二次稳定性（MPDQS），并保证了闭环系统的成本。在所提出的控制方案中，所需的在线计算负荷明显小于MPC参考文献中的要求，这开辟了将这种控制设计方案不仅用于动力学较慢的工厂而且对于速度较快的工厂的可能性。以BMI和相应的启发式LMI迭代算法的形式给出了足够的鲁棒稳定性条件。实例表明了所提出的输出反馈设计方法的有效性。

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来源
《International Journal of Innovative Computing Information and Control》 |2014年第1期|269-280|共12页
作者
Vojtech Vesely; Danica Rosinova;
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作者单位

URPI, Faculty of Electrical Engineering and IT Slovak University of Technology Vazovova 5, 812 43, Bratislava, Slovak Republic;

URPI, Faculty of Electrical Engineering and IT Slovak University of Technology Vazovova 5, 812 43, Bratislava, Slovak Republic;

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正文语种 eng
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关键词
Model predictive control; Switched systems; Robust control; Lyapunov function; Polytopic system;

机译：模型预测控制;交换系统;鲁棒的控制;Lyapunov函数;多主题系统;

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专利

1. Robust H∞ output feedback controller design for uncertain discrete-time switched systems via switched Lyapunov functions [J] . 系统工程与电子技术（英文版） . 2007,第003期

机译：通过切换的Lyapunov函数为不确定的离散时间切换系统提供鲁棒的H∞输出反馈控制器设计
2. Robust H∞ output feedback controller design for uncertain discrete-time switched systems via switched Lyapunov functions [J] . Donqshenq Du, Bin Jiang, This paper appears in: Systems Engineering and Electronics Journal of Systems Engineering and Electronics, Journal of . 2007,第3期

机译：通过切换Lyapunov函数的不确定离散时间切换系统的鲁棒H∞输出反馈控制器设计
3. Parameter and Controller Dependent Lyapunov Functions for Robust D-Stability and Robust Performance Controller Design [J] . Graziano Chesi IEEE Transactions on Automatic Control . 2017,第9期

机译：参数和控制器相关的Lyapunov函数可实现稳定的D稳定性和稳定的性能控制器设计
4. Fuzzy constrained MPC output feedback controller design for nonlinear systems based on parameter-dependent Lyapunov function approach [C] . Liu Hui-Wei, Han Ke-Zhen, Chang Xiao-Heng Chinese Control and Decision Conference . 2013

机译：基于参数Lyapunov函数方法的非线性系统模糊约束MPC输出反馈控制器设计
5. Parameter-dependent Lyapunov functions and stability analysis of linear parameter-dependent dynamical systems. [D] . Zhang, Xiping. 2003

机译：依赖参数的Lyapunov函数和线性依赖参数的动力系统的稳定性分析。
6. H∞/LPV controller design for an active anti-roll bar system of heavy vehicles using parameter dependent weighting functions [O] . Van Tan Vu, Olivier Sename, Luc Dugard, 2019

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7. Lyapunov function based design of robust fuzzy controllers for uncertain nonlinear systems : distinct Lyapunov functions [O] . Leung, FHF, Lam, HK, Tam, PKS 1998

机译：基于Lyapunov函数的不确定非线性系统鲁棒模糊控制器设计：独特的Lyapunov函数

ROBUST MPC CONTROLLER DESIGN FOR SWITCHED SYSTEMS USING MULTI-PARAMETER DEPENDENT LYAPUNOV FUNCTION

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