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.
Quadratic optimal control of linear systems with time-varying input delay
Carravetta F;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.File in questo prodotto:
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