Observer-based linear parameter-varying control with guaranteed L2-gain and H2-type performance objectives
Artikel i vetenskaplig tidskrift, 2014

Synthesis of an observer-based linear parameter-varying controller is considered for a general linear parameter-varying plant. The parameter vector and its derivative are both assumed to take values in known bounded domains, whereas only the parameter vector is assumed to be measurable during online operation. The synthesis problem is considered for L2-gain and H2-type performance objectives. Potentially conservative parameter-dependent linear matrix inequality conditions are derived for the solvability of these two problems. To facilitate the reduction of conservatism, the conditions are expressed in a way to have bilinear dependence on an arbitrary positive scalar. In addition to employing a suitable relaxation scheme to reduce these conditions into finitely many constraints, a line search hence needs to be performed over the positive scalar to obtain the best achievable performance with an observer-based controller. The online implementation of the observer-based controller is relatively simpler if compared with a controller of unrestricted structure. Moreover, the observer-based controller will have no dependence on the parameter derivatives irrespective of the choices of the design variables.

L2-gain minimization

observer-based control

linear parameter-varying systems

convex optimization

H2 synthesis

linear matrix inequalities


Hakan Köroglu

Chalmers, Signaler och system, System- och reglerteknik

International Journal of Robust and Nonlinear Control

1049-8923 (ISSN) 1099-1239 (eISSN)

Vol. 24 14 2000-2017





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