Fixed-Order Piecewise-Affine Output Feedback Controller for Fuzzy-Affine-Model-Based Nonlinear Systems With Time-Varying Delay

2017 ◽  
Vol 64 (4) ◽  
pp. 945-958 ◽  
Author(s):  
Yanling Wei ◽  
Jianbin Qiu ◽  
Peng Shi ◽  
Mohammed Chadli
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Feedback Controller ◽  
Time Varying ◽  
Piecewise Affine ◽  
Time Varying Delay ◽  
Output Feedback Controller ◽  
Affine Model ◽  
Fixed Order ◽  
Varying Delay

scholarly journals Observer-based controller design of time-delay systems with an interval time-varying delay

2012 ◽  
Vol 22 (4) ◽  
pp. 921-927 ◽  
Author(s):  
Mai Viet Thuan ◽  
Vu Ngoc Phat ◽  
Hieu Trinh
Keyword(s):  
Output Feedback ◽  
Design Procedure ◽  
Feedback Controller ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Interval Time ◽  
Time Varying Delay ◽  
Output Feedback Controller ◽  
Varying Delay

This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds. The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov-Krasovskii functionals and utilizing the Newton-Leibniz formula, a delay-dependent stabilizability condition which is expressed in terms of Linear Matrix Inequalities (LMIs) is derived to ensure the closed-loop system is exponentially stable with a prescribed α-convergence rate. The design of an observerbased output feedback controller can be carried out in a systematic and computationally efficient manner via the use of an LMI-based algorithm. A numerical example is given to illustrate the design procedure.

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