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http://dx.doi.org/10.5302/J.ICROS.2013.13.1913

Exponential Stability of Predictor Feedback for Discrete-Time Linear Systems with Input Delays  

Choi, Joon-Young (Department of Electronics Engineering, Pusan National University)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.19, no.7, 2013 , pp. 583-586 More about this Journal
Abstract
We consider discrete-time LTI (Linear Time-Invariant) systems with constant input delays. The input delay is modeled by a first-order PdE (Partial difference Equation) and a backstepping transformation is employed to design a predictor feedback controller. The backstepping approach results in the construction of an explicit Lyapunov function, with which we prove the exponential stability of the closed-loop system formed by the predictor feedback. The numerical example demonstrates the design of the predictor feedback controller, and illustrates the validity of the exponential stability.
Keywords
delay systems; predictor; backstepping transformation; exponential stability;
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Times Cited By KSCI : 2  (Citation Analysis)
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