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Robust h networked control for systems with uncertain sampling rates

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4 Author(s)
Borges, R.A. ; Sch. of Electr. & Comput. Eng., Univ. of Campinas - UNICAMP, Campinas, Brazil ; Oliveira, R.C.L. ; Abdallah, C.T. ; Peres, P.L.D.

This study investigates the problem of controller design for systems with uncertain sampling rates. The system is controlled through a communication network. The sampling period, within a given interval, is assumed to be time-varying and a simplified framework for the network-induced delay is considered. The overall system is thus described by an uncertain discrete-time model with time-varying parameters inside a polytope whose vertices are obtained by means of the Cayley-Hamilton theorem. A digital robust controller that minimises an upper bound to the H performance of the closed-loop networked control system (NCS) is determined. The design conditions rely on a particular parameter-dependent Lyapunov function and are expressed as bilinear matrix inequalities (BMIs) in terms of extra matrix variables, which may be explored in the search for a better system behaviour. Numerical examples illustrate the results.

Published in:

Control Theory & Applications, IET  (Volume:4 ,  Issue: 1 )