Induced L^sub 2^ Norm Improvement by Interpolating Controllers for Discrete-time LPV Systems

• Published in: European journal of control Vol. 15; no. 5; p. 545
• Main Authors: Péni, T, Kulcsár, B, Bokor, J
• Format: Journal Article
• Language: English
• Published: Philadelphia Elsevier Limited 01.09.2009
• Subjects: Control systems; Controllers
• ISSN: 0947-3580; 1435-5671

The paper shows an interpolation-based control solution as a possible technique to formulate the constrained H^sub ∞^ control problem for discrete-time linear parameter varying (LPV) systems. The control policy is constructed by interpolating among a priori 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 over a much 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 L^sub 2^ norm from the generalized disturbance input to the predefined performance output. Moreover, the suggested method can be applied in real-time environment. [PUBLICATION ABSTRACT]