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A note on optimal control of autonomous switched systems on a finite time interval

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3 Author(s)
Spinelli, W. ; Dipt. di Elettronica e Informazione, Politecnico di Milano ; Bolzern, P. ; Colaneri, P.

This paper deals with the problem of optimal control of continuous-time autonomous linear switched systems on a finite control horizon. Sufficient conditions for optimality are developed using Hamilton-Jacobi-Bellman theory. The optimal switching signal is computed through backward integration of a differential Lyapunov equation coupled with the dynamic of the switched system. The switching signal is proved to be independent from a scaling of the initial state, and a numerical procedure based on the discretization of the state space is proposed to compute the optimal switching

Published in:

American Control Conference, 2006

Date of Conference:

14-16 June 2006