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Stability of Predictive Control without Terminal Conditions

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Part of the TMS Symposium

The stability of constrained finite horizon optimal control problem has been widely addressed in the literature in (1) state-space formulation and by (2) inclusion of terminal constraints, terminal cost, terminal control law. In my research, both these restrictions are removed i.e. stability is ensured for (1) input-output formulation and (2) without any of the three stabilizing ingredients. In this case, the predictive controller is certified by proving infinite feasibility of the problem through set invariance.

This talk is part of the Trinity Mathematical Society series.

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