H∞ structured model reduction algorithms for linear discrete systems via LMI-based optimisation

摘要: In this article, H∞ structured model reduction is addressed for linear discrete systems. Two important classes of systems are considered reduction, i.e. Markov jump and uncertain The problem we deal with the development algorithms flexibility to allow any structure in reduced-order system design, such as an original system, decentralisation a networked pole assignment reduced etc. derived that associated error guarantees satisfy prescribed norm-bound constraint. A new condition existence desired models preserving certain presented set matrix inequalities (LMI) non-convex equality constraints. Effective computational involving LMI suggested solve characterising solution problem. Numerical examples demonstrate advantages proposed method.