An LMI approach for sliding mode static output feedback simultaneous stabilisation

A sliding mode controller using only measured output signals for the simultaneous stabilisation of a finite set of uncertain systems is proposed. A noteworthy feature of the approach is that it allows both matched and mismatched uncertainties to be considered. The proposed controller belongs to the class of static output feedback controllers. The synthesis methodology involves solving linear matrix inequality problems. A simulation study is performed to illustrate the design approach and its effectiveness.