Recently a new and efficient algorithm for mixed integer semidefinite programming (MISDP) was introduced. The algorithm is applicable to robust control of a general class of hybrid systems but despite its benefits in this regard, it may prove too computationally expensive for online optimisation in a range of applications. Multi-parametric programming has provided an attractive alternative to online optimisation since it has allowed for the offline solution of the optimisation problem. In this paper an algorithm for multiparamet-ric MISDP (mp-MISDP) will be described.
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