Multi-model unfalsified switching control of uncertain multivariable systems

This paper addresses the problem of controlling an uncertain multi-input multi-output system by means of adaptive switching control schemes. In particular, the paper aims at extending the multi-model unfalsified control approach, so far restricted to single-input single-output systems, to a general multivariable setting. The proposed scheme relies on a data-driven ‘high-level’ unit, called the supervisor, which at any time can switch on in feedback with the uncertain plant one controller from a finite family of candidate controllers. The supervisor performs routing and scheduling tasks by monitoring suitable test functionals which, on the basis of the measured data, provide a measure of mismatch between the potential loop made up by the uncertain plant in feedback with the candidate controller and the nominal ‘reference loop’ related to the same candidate controller.