Title :
Quadratic Optimal control of linear systems with time-varying input delay
Author :
Carravetta, Francesco ; Palumbo, Pasquale ; Pepe, Pierdomenico
Author_Institution :
Ist. `A. Ruberti´´ di Analisi dei Sist. ed Inf. (IASI), Consiglio Naz. delle Ric., Rome, Italy
Abstract :
In this paper the optimal control problem for linear time-varying systems with delay in the control input is investigated, in the time-continuous framework. This note aims to propose a different functional approach, whose versatility could result successful in applying it to the case of time-varying delays. The optimal solution at the current time t is proven to be a feedback from the state of the system at time t, provided that a Riccati-like integral differential equation admits solutions.
Keywords :
delays; differential equations; linear systems; optimal control; time-varying systems; Riccati-like integral differential equation; linear systems; quadratic optimal control; time-continuous framework; time-varying input delay; time-varying systems; Delay; Equations; Linear systems; Optimal control; Robustness; Time varying systems;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5718079