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 succesfull 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.
Carravetta, F., Palumbo, P., Pepe, P. (2010). Quadratic optimal control of linear systems with time-varying input delay. In Proceedings 49th IEEE Conference on Decision and Control (CDC10), Atlanta, Georgia, USA, 15-17 December 2010 (pp.4996-5000). Institute of Electrical and Electronics Engineers Inc. [10.1109/CDC.2010.5718079].
Quadratic optimal control of linear systems with time-varying input delay
Palumbo P;
2010
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 succesfull 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.
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