Work

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

Year: 2013
Type: article
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.
Language: English
Open Access status: bronze
OpenAlex ID: W2054907519
FWCI: 0.357
Cites: 15
Cited by: 1
Related to: 10