Ellipsoidal output-feedback sets for Hinf control of a class of stochastic hybrid systems with state-dependant noise

Samir Aberkane (1) , Jean-Christophe Ponsart (1) , Dominique Sauter (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper deals with static output feedback H∞ control of continuous time Active Fault Tolerant Control Systems with Markovian Parameters (AFTCSMP) and state-dependent noise. It adopts a new framework, based on the synthesis of ellipsoidal sets of controllers, introduced in (Peaucelle et al., 2002, Peaucelle et al., 2005). It is also shown that the obtained results can easily be applied to the problematic of mode-independent static output feedback H∞ control of another class of stochastic hybrid systems known as Markovian Jump Linear Systems. Results are formulated as matrix inequalities one of which is nonlinear. A numerical algorithm based on nonconvex optimization is provided and its running is illustrated on classical examples from literature.

Domaines: Optimisation et contrôle [math.OC]

Samir Aberkane, Jean-Christophe Ponsart, Dominique Sauter. Ellipsoidal output-feedback sets for Hinf control of a class of stochastic hybrid systems with state-dependant noise. Françoise Lamnabhi-Lagarrigue, Antonio Loria, Elena Panteley, Salah Laghrouche. Taming Heterogeneity and Complexity of Embedded Control, Wiley-ISTE, pp.15, 2007. ⟨hal-00578141⟩