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Induced L2 norm improvement by interpolating controllers for discrete time LPV systems

T. Peni ; Balazs Kulcsar (Institutionen för signaler och system, Reglerteknik) ; J. Bokor
European Journal of Control (0947-3580). Vol. 15 (2009), 5, p. 1-15.
[Artikel, refereegranskad vetenskaplig]

The paper shows an interpolation-based control solution asapossible technique to formulate the constrained H∞ control problem for discrete-time linear parameter varying (LPV) systems. The control policy is constructed by interpolating amongapriori designed, unconstrained, constant, state feedback controllers. Invariant set theory is used to introduce the measure of the domain of applicability. It is shown that the `trade-off' between the performance and the size of the domain of applicability can be significantly reduced by controller interpolation. Hence, the interpolation-based controller becomes applicable overamuch larger region than any other single state feedback. The proposed method gives stabilizing solution not only under hard constraints, but also allows the online modification of the induced L² norm from the generalized disturbance input to the predefined performance output. Moreover, the suggested method can be applied in real-time environment.



Denna post skapades 2011-12-20. Senast ändrad 2013-10-29.
CPL Pubid: 150547

 

Institutioner (Chalmers)

Institutionen för signaler och system, Reglerteknik (2005-2017)

Ämnesområden

Reglerteknik

Chalmers infrastruktur