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http://dx.doi.org/10.7471/ikeee.2019.23.4.1265

Robustness Analysis of Predictor Feedback Controller for Discrete-Time Linear Systems with Input Delays  

Choi, Joon-Young (Dept. of Electronics Engineering, Pusan National University)
Publication Information
Journal of IKEEE / v.23, no.4, 2019 , pp. 1265-1272 More about this Journal
Abstract
We analyze the robustness of the existing predictor feedback controller for discrete-time linear systems with constant input delays against the structured model uncertainty. By modeling the constant input delay with a first-order PdE (Partial difference Equation), we replace the input delay with the PdE states. By applying a backstepping transformation, we build a target system that enables to construct an explicit Lyapunov function. Constructing the explicit Lyapunov function that covers the entire state variables, we prove the existence of an allowable maximum size of the structured model uncertainty to maintain stability and establish the robustness of the predictor feedback controller. The numerical example demonstrates that the stability of closed-loop system is maintained in the presence of the structured model uncertainty, and verifies the robustness of the predictor feedback controller.
Keywords
Input delay systems; Predictor feedback controller; Robustness; Backstepping transformation; Lyapunov function;
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