scholarly journals Stabilization of discrete-time piecewise affine systems with quantized signals

2015 ◽  
Author(s):  
Masashi Wakaiki ◽  
Yutaka Yamamoto
Keyword(s):  
Discrete Time ◽  
Piecewise Affine Systems ◽  
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.

scholarly journals A SURVEY ON STABILITY ANALYSIS OF DISCRETE-TIME PIECEWISE AFFINE SYSTEMS

2005 ◽  
Vol 38 (1) ◽  
pp. 283-294 ◽  
Author(s):  
Pratik Biswas ◽  
Pascal Grieder ◽  
Johan Löfberg ◽  
Manfred Morari
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Piecewise Affine Systems ◽  
Affine Systems ◽  
Piecewise Affine
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