Peak-to-peak gain minimisation of uncertain discrete-time systems with variable delays
by Magdi Sadek Mahmoud; Mohamed Tawfik Sadek
International Journal of Systems, Control and Communications (IJSCC), Vol. 3, No. 4, 2011

Abstract: In this paper, we provide a novel solution to the problem of peak-to-peak gain minimisation for a class of linear discrete-time systems with time-varying delays. The solution is developed based on minimising the *-norm, which is the best upper bound on the induced L_?-norm generated by bounding the reachable set with inescapable ellipsoids, rather than minimising the induced L_?-norm directly. We develop sufficient conditions to the solution of the problems of robust L_?-gain analysis and robust state-feedback controller synthesis in terms of strict linear matrix inequalities. The developed results are tested on a representative example.

Online publication date: Tue, 31-Mar-2015

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