FINITE TIME CONTROL OF LINEAR-SYSTEMS BY PIECEWISE CONSTANT OUTPUT-FEEDBACK

The problem of finite time controllability of linear time invariant systems by piecewise constant output feedback is considered. It is shown that complete controllability and complete observa.bifit.y are both necessary and sufficient conditions for output feedback controllability by piecewise constant gain. Dead-beat output feedback controllers that drives the system to the origin in at most (Jµd x vd) steps, are also presented, where La and I'd are the indices of controllability and observa bility. © 1979 Taylor & Francis Ltd.