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On the optimal control law for linear discrete time hybrid systems

Author(s):

A. Bemporad, F. Borrelli, M. Morari
Conference/Journal:

International Workshop on Hybrid Systems: Computation and Control, Stanford, California, USA, pp. 105-119, 25 - 27 March , Tomlin C. J. and Greenstreet M. R. (eds.), Lecture Notes in Computer Science no. 2289.
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:

(01)Article
Supervisor:



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% Autogenerated BibTeX entry
@InProceedings { BemBor:2002:IFA_45,
    author={A. Bemporad and F. Borrelli and M. Morari},
    title={{On the optimal control law for linear discrete time hybrid
	  systems}},
    booktitle={International Workshop on Hybrid Systems: Computation and
	  Control},
    pages={105--119},
    year={2002},
    address={Stanford, California, USA},
    month=mar,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=45}
}
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