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On the optimal control law for linear discrete time hybrid systems

Author(s):

F. Borrelli
Conference/Journal:

International Workshop on Hybrid Systems: Computation and Control, Stanford, California, USA
Abstract:

In this paper we study the solution to optimal control problems for discrete time linear hybrid systems. First, we prove that the closed form of the state-feedback solution to finite time optimal control based on quadratic or linear norms performance criteria is a time-varying piecewise affine feedback control law. Then, we give an insight into the structure of the optimal state-feedback solution and of the value function. Finally, we briefly describe how the optimal control law can be computed by means of multiparametric programming.

Year:

2002
Type of Publication:

(06)Talk
Supervisor:



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