Fault tolerant control for switching discrete-time systems with delays: an improved cone complementarity approach

作者：Benzaouia Abdellah^*; Ouladsine Mustapha; Ananou Bouchra

来源：International Journal of Systems Science, 2014, 45(10): 2116-2126.

DOI：10.1080/00207721.2012.762561

• switching systems
• delay
• stabilising control
• arbitrary switching sequence
• fault detection
• fault tolerant control
• observer
• multiple Lyapunov function
• LMI
• cone complementarity

In this paper, fault tolerant control problem for discrete-time switching systems with delay is studied. Sufficient conditions of building an observer are obtained by using multiple Lyapunov function. These conditions are worked out in a new way, using cone complementarity technique, to obtain new LMIs with slack variables and multiple weighted residual matrices. The obtained results are applied on a numerical example showing fault detection, localisation of fault and reconfiguration of the control to maintain asymptotic stability even in the presence of a permanent sensor fault.

• 出版日期2014