Simultaneous and strong simultaneous stabilisation of some classes of MIMO systems

摘要

Sufficient conditions are derived for simultaneous stabilisability of any finite number of linear, time-invariant, multi-input multi-output (MIMO) systems. Four general MIMO plant classes with arbitrary finite number of plants are shown to be simultaneously stabilisable using simple proportional + derivative controllers. For some of these plant classes it is also possible to achieve simultaneous stabilisation and asymptotic tracking of step-input references with zero steady-state error by using integral-action controllers. Three of these general MIMO plant classes are shown to be strongly simultaneously stabilisable.