H-Infinity Model Predictive Control of Discrete-Time Constrained Singular Piecewise-Affine Systems with Time Delay

2014 ◽  
Author(s):  
Zhenhua Zhou ◽  
Mao Wang ◽  
Tiantian Liang
Keyword(s):  
Time Delay ◽  
Model Predictive Control ◽  
Predictive Control ◽  
Discrete Time ◽  
Piecewise Affine Systems ◽  
H Infinity ◽  
Affine Systems ◽  
Piecewise Affine

scholarly journals Robust H-Infinity Stabilization and Resilient Filtering for Discrete-Time Constrained Singular Piecewise-Affine Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-16 ◽  
Author(s):  
Zhenhua Zhou ◽  
Mao Wang ◽  
Qitian Yin
Keyword(s):  
Discrete Time ◽  
Filter Design ◽  
Input Saturation ◽  
Domain Of Attraction ◽  
Design Parameters ◽  
Piecewise Affine Systems ◽  
H Infinity ◽  
Affine Systems ◽  
Piecewise Affine ◽  
Disturbance Tolerance

This paper is concerned with the problem of designing robust H-infinity output feedback controller and resilient filtering for a class of discrete-time singular piecewise-affine systems with input saturation and state constraints. Based on a singular piecewise Lyapunov function combined with S-procedure and some matrix inequality convexifying techniques, the H-infinity stabilization condition is established and the resilient H-infinity filtering error dynamic system is investigated, and, meanwhile, the domain of attraction is well estimated. Under energy bounded disturbance, the input saturation disturbance tolerance condition is proposed; then, the resilient H-infinity filter is designed in some restricted region. It is shown that the controller gains and filter design parameters can be obtained by solving a family of LMIs parameterized by one or two scalar variables. Meanwhile, by using the corresponding optimization methods, the domain of attraction and the disturbance tolerance level is maximized, and the H-infinity performanceγis minimized. Numerical examples are given to illustrate the effectiveness of the proposed design methods.

Robust tube–based model predictive control of piecewise affine systems with enlarging the region of attraction

2020 ◽  
pp. 107754632093202 ◽  
Author(s):  
Yahay Abbasi ◽  
Hamidreza Momeni ◽  
Amin Ramezani
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Control Strategy ◽  
Uncertain System ◽  
Piecewise Affine Systems ◽  
Region Of Attraction ◽  
Affine Systems ◽  
Nominal System ◽  
Piecewise Affine ◽  
Prediction Horizon

This study addresses robust regulation problem for piecewise affine systems with bounded additive disturbances. Robust tube–based model predictive control strategy is used to separate the nominal system from the uncertain system and then maintain the disturbed trajectory of the uncertain system in a tube around the nominal system trajectory. Accordingly, an algorithm is proposed based on robust tube–based model predictive control strategy to enlarge the region of attraction without increasing the prediction horizon by changing the terminal constraint set. This algorithm enlarges the region of attraction without computational complexity of increasing receding horizon. Simulation examples, including two different case studies, are given to illustrate the effectiveness of the proposed robust tube–based model predictive control.

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