H ∞ state feedback control of discrete-time Markov jump linear systems through linear matrix inequalities

• Autor(a) principal: Gonçalves, A. P C [UNESP]
• Data de Publicação: 2011
• Outros Autores: Fioravanti, A. R., Al-Radhawi, M. A., Geromel, J. C.
• Tipo de documento: Artigo de conferência
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.3182/20110828-6-IT-1002.02548; http://hdl.handle.net/11449/72902
• topic: Discrete-time systems; Linear Matrix Inequalities; Markov models; State-feedback control; Bounded parameters; Closed loops; Design problems; Discrete time system; Linear feedback controllers; Markov jump linear systems; Markov model; Markov parameters; Robust controller design; Transition probabilities; Digital control systems; Discrete time control systems; Feedback control; Linear matrix inequalities; Markov processes; State feedback; Controllers

This paper addresses the H ∞ state-feedback control design problem of discretetime Markov jump linear systems. First, under the assumption that the Markov parameter is measured, the main contribution is on the LMI characterization of all linear feedback controllers such that the closed loop output remains bounded by a given norm level. This results allows the robust controller design to deal with convex bounded parameter uncertainty, probability uncertainty and cluster availability of the Markov mode. For partly unknown transition probabilities, the proposed design problem is proved to be less conservative than one available in the current literature. An example is solved for illustration and comparisons. © 2011 IFAC.