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Optimized Robust Control Invariance for Linear Discrete–Time Systems: Theoretical Foundations

Author(s):

Sasa V. Rakovic, E. Kerrigan, D. Mayne, K. I. Kouramas
Conference/Journal:

Automatica, vol. 43, no. 5, pp. 831-841
Abstract:

This paper introduces the concept of optimized robust control invariance for discrete-time linear time-invariant systems subject to additive and bounded state disturbances. A novel characterization of two families of robust control invariant sets is given. The existence of a constraint admissible member of these families can be checked by solving a single and tractable convex programming problem in the generic linear–convex case and a standard linear/quadratic program when the constraints are polyhedral or polytopic. The solution of the same optimization problem yields the corresponding feedback control law that is, in general, set–valued. A procedure for selection of a point–valued, nonlinear control law is provided.

Year:

2007
Type of Publication:

(01)Article
Supervisor:



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% Autogenerated BibTeX entry
@Article { RakEtal:2007:IFA_2667,
    author={Sasa V. Rakovic and E. Kerrigan and D. Mayne and K. I. Kouramas},
    title={{Optimized Robust Control Invariance for Linear
	  Discrete–Time Systems: Theoretical Foundations}},
    journal={Automatica},
    year={2007},
    volume={43},
    number={5},
    pages={831--841},
    month=may,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=2667}
}
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