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H2 CONTROL OF RATIONAL PARAMETER-DEPENDENT CONTINUOUS-TIME SYSTEMS: A PARAMETRIC LYAPUNOV FUNCTION APPROACH
Alexandre Trofino,* Carlos E. de Souza,**
* Department of Automation and Systems
Universidade Federal de Santa Catarina
88040-900 Florianópolis, SC, Brazil
(On leave at Lab. Biotechnologie de l’Environnement/INRA, Narbonne, France)
e-mail: trofino@lcmi.ufsc.br
** Department of Systems and Control
Laboratório Nacional de Computação Científica - LNCC/MCT
Av. Getúlio Vargas 333, 25651-070 Petrópolis, RJ, Brazil
e-mail: csouza@lncc.br
This paper presents an LMI based design method for static output feedback controllers with a guaranteed H2 performance. The method can be applied to a class of continuous-time linear systems with either rational or polynomial parameter dependence, provided that the parameters and their rate of variation are bounded by a given polytope. Stability as well as a H2 performance bound are guaranteed via a rational parameter-dependent Lyapunov function. The method can be used to design: robust controllers, LPV controllers, and non-fragile controllers with prescribed ranges of errors that can be tolerated in the implementation of the designed control gains.
Keywords: Rational systems, uncertain parameters, H2 control, robust control, LPV control, non-fragile control, parametric Lyapunov functions
Session slot T-Mo-M15: Optimal Robust Control/Area code 2e : Robust Control
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