Artículos de revistas
Lmi Relaxations For Reduced-order Robust H ∞ Control Of Continuous-time Uncertain Linear Systems
Registro en:
Ieee Transactions On Automatic Control. , v. 57, n. 6, p. 1532 - 1537, 2012.
189286
10.1109/TAC.2011.2174693
2-s2.0-84861754199
Autor
Agulhari C.M.
Oliveira R.C.L.F.
Peres P.L.D.
Institución
Resumen
This technical note is concerned with the problem of reduced order robust H ∞ dynamic output feedback control design for uncertain continuous-time linear systems. The uncertain time-invariant parameters belong to a polytopic domain and affect all the system matrices. The search for a reduced-order controller is converted in a problem of static output feedback control design for an augmented system. To solve the problem, a two-stage linear matrix inequality (LMI) procedure is proposed. At the first step, a stabilizing state feedback scheduled controller with polynomial or rational dependence on the parameters is determined. This parameter-dependent state feedback controller is used at the second stage, which synthesizes the robust (parameter- independent) output feedback H ∞ dynamic controller. A homogeneous polynomially parameter-dependent Lyapunov function of arbitrary degree is used to assess closed-loop stability with a prescribed H ∞ attenuation level. 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