Recursive robust regulator for discrete-time state-space systems

Authors:
João P. Cerri;Marco H. Terra;João Y. Ishihara
Affiliations:
Electrical Engineering Department, University of São Paulo at São Carlos, São Carlos, SP, Brazil;Electrical Engineering Department, University of São Paulo at São Carlos, São Carlos, SP, Brazil;Electrical Engineering Department, Faculty of Technology, University of Brasília, DF, Brazil
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 3
Cited 0

Robust control of linear discrete-time systems

Systems & Control Letters
Dynamic Programming and Optimal Control

Dynamic Programming and Optimal Control
Technical communique: Robustness and optimality of linear quadratic controller for uncertain systems

Automatica (Journal of IFAC)

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Abstract

This paper deals with robust regulation problem for discrete-time linear systems subject to uncertainties. The uncertainties are assumed bounded. A new functional based on the combination of penalty functions and weighted game-type cost function is defined to deal with this problem. The solution provided is based on recursive Riccati equations. An interesting feature of this approach is that the recursiveness can be performed without the need of adjusting auxiliary parameters.