Compensator-based sliding mode output feedback simultaneous stabilisation controller design via LMIs for uncertain systems

A design methodology for a compensator-based sliding mode controller using only output signals, for the simultaneous stabilisation of a finite collection of uncertain systems is proposed. The methodology is based on linear matrix inequality methods and the proposed controller belongs to the class of dynamic output feedback controllers. The developed approach allows both matched and mismatched uncertainties to be considered. Two numerical examples are presented to illustrate the design methodology. The first one consists of a finite set of systems (fault-free and faulty operation modes) which are not static output feedback stabilisable. The second example considers a six-plate gas absorber whose operating conditions change depending on the load requirements.