On the robust state-feedback stabilisation of nD hybrid Roesser models with implicit LFR uncertainty

ABSTRACT

This paper addresses the problem of robust stabilisation of nD hybrid systems described by Roesser model. The model is in a descriptor form where all the system matrices are corrupted by uncertainty in a general form as implicit linear fractional representations . Based on the S-procedure technique, robust stability and robust stabilisation conditions are established for hybrid systems. Simulation example is provided in order to illustrate the relevance of our approach.

KEYWORDS:

• nD hybrid Roesser model
• stabilisation
• LMI conditions
• implicit LFR uncertainty

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the Agence Nationale de la Recherche in France as part of the project MSDOS [project number ANR-13-BS03-0005].