Fractional order polytopic systems: robust stability and stabilisation

Fractional order polytopic systems: robust stability and stabilisation

* Correspondence: Jocelyn. [email protected] University of Bordeaux, IMS Laboratory (CRONE Team), CNRS UMR 5218, 351 Cours de la Libération, 33405 Talence, France Abstract This article addresses the problem of robust pseudo state feedback stabilisation of commensurate fractional order polytopic systems (FOS). In the proposed approach, Linear Matrix Inequalities (LMI) formalism is used to...

Robust stability analysis and stabilization of fractional order polytopic systems

This paper addresses the problem of robust pseudo state feedback stabilization of commensurate fractional order polytopic systems (FOS). In the proposed approach, Linear Matrix Inequalities (LMI) formalism is used to check if the pseudo state matrix eigenvalues belong to the FOS whatever the value of the uncertain parameters. The paper focuses particularly on the case 0 < < 1 as the stability r...

Robust stability of time varying polytopic systems

Robust stability conditions for polytopic systems

The paper provides survey of some recent robust stability conditions, their mutual comparison, and presents new robust stability conditions for continuousand discrete-time systems with convex polytopic uncertainty. Robust stability analysis is based on LMI conditions and parameter-dependent Lyapunov functions. The developed stability conditions are appropriate for output feedback design. Numeri...

Fractional order robust adaptive intelligent controller design for fractional-order chaotic systems with unknown input delay, uncertainty and external disturbances

In this paper, a fractional-order robust adaptive intelligent controller (FRAIC) is designed for a class of chaotic fractional order systems with uncertainty, external disturbances and unknown time-varying input time delay. The time delay is considered both constant and time varying. Due to changes in the equilibrium point, adaptive control is used to update the system's momentary information a...