Karafyllis l., Krstic M. Predictor Feedback for Delay Systems: Implementations and Approximations

Springer International Publishing AG, CH, 2017. — 309 p. — (Systems & Control: Foundations & Applications) — ISBN: 3319423770Time delays abound in dynamical systems. And long values of such delays often induce instability. The idea of using “predictors” of the future state or output, initiated with the “Smith predictor” in the late 1950s for compensating long delays in actuation, sensing, computation, or communication, prevents such instabilities—for linear systems. Next to the PID control, the Smith predictor is arguably the most frequently used feedback strategy.
About half a century after the Smith predictor—in the late 2000s—the predictor idea was extended to nonlinear systems. In principle, any stabilizable nonlinear system can be stabilized in the presence of an arbitrarily long input delay.
The book starts from the already fairly advanced state of the art in stability theory and feedback design for nonlinear ordinary differential equations. We assume that the reader is familiar with stability and feedback stabilization theory for uncertain nonlinear finite-dimensional systems at least at a moderately advanced level.Preview of Predictor Feedback and Delay Compensation
Linear Systems Under Predictor Feedback
Linear Systems with State Measurement
Linear Systems with Output Measurement
Nonlinear Systems Under Predictor Feedback
Nonlinear Systems with State Measurement
Nonlinear Systems with Output Measurement
Application to the Chemostat
Extensions of Predictor Feedback
Systems Described by Integral Delay Equations
Discrete-Time Systems