Artículos de revistas
Optimal H2 And H∞ Mode-independent Control For Generalized Bernoulli Jump Systems
Registro en:
Journal Of Dynamic Systems, Measurement And Control, Transactions Of The Asme. , v. 136, n. 1, p. - , 2014.
220434
10.1115/1.4025240
2-s2.0-84886444864
Autor
Fioravanti A.R.
Goncalves A.P.C.
Geromel J.C.
Institución
Resumen
This paper deals with state-feedback control of discrete-time linear jump systems. The random variable representing the system modes has a generalized Bernoulli distribution, which is equivalent to a Markov chain where the transition probability matrix has identical rows. Another assumption is about the availability of the mode to the controller. We derive necessary and sufficient linear matrix inequalities (LMI) conditions to design optimal H2 and H∞ state-feedback controllers for the particular class of transition probabilities under consideration and subject to partial mode availability constraints or equivalently cluster availability constraints, which include mode-dependent and mode-independent designs as particular cases. All design conditions are expressed in terms of LMIs. The results are illustrated through a numerical example. © 2013 by ASME. 136 1
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