Optimal fault detection filter design for switched linear systems

This report investigates the problem of fault detection filter design for switched linear systems. A mixed H−/H∞H−/H∞ fault detection filter is proposed and the solution is provided in the state space paradigm. The proposed solution has the advantage that not only faults can be detected but fault isolation is also possible. Linear matrix inequalities (LMIs) and Multiple Lyapunov Function (MLF) approach are used for the design of fault detection filter. It is assumed that the switching sequence is known and the fault detection filter is designed using the average dwell time constraints.