Delay-Dependent 1 Filtering for LPV Systems With Parameter-Varying Delays

摘要

The paper investigates the problems of delay-dependent L1 filter-ning for linear parameter-varying (LPV) systems with parameter-nvarying delays, in which the state-space data and the time delaysnare dependent on parameters that are measurable in real-time andnvary in a compact set with bounded variation rate. The attentionnis focused on the design of L1 filter that guarantees the filteringnerror system to be asymptotically stable and satisfies the worst-ncase peak-to-peak gain of the filtering error system. In particularnwe concentrate on the delay-dependent case, using parameter-ndependent Lyapunov function, the decoupled peak-to-peak perfor-nmance criterion is first established for a class of LPV systems.nUnder this condition, the admissible filter can be found in terms ofnlinear matrix inequality (LMI) technology. According to approxi-nmate basis function and the gridding technique, the filter designnproblem is transformed into feasible solution problem of the finitenparameter LMIs. Finally, a numerical example is provided to il-nlustrate the feasibility of the developed approach.