Stability of Hybrid Model Predictive Control

@inproceedings{Lazar2005StabilityOH,
  title={Stability of Hybrid Model Predictive Control},
  author={Mircea Lazar and W. P. M. H. Heemels and Siep Weiland and Alberto Bemporad},
  year={2005}
}
In this paper we investigate the stability of hybrid systems in closed-loop with Model Predictive Controllers (MPC) and we derive a priori sufficient conditions for Lyapunov asymptotic stability and exponential stability. A general theory is presented which proves that Lyapunov stability is achieved for both terminal cost and constraint set and terminal equality constrainthybrid MPC, even though the considered Lyapunov function and the system dynamics may be discontinuous. For particular… CONTINUE READING
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