Resilient energy-to-peak filtering for linear parameter-varying systems under random access protocol

In this paper, we consider the energy-to-peak filtering issue for a class of linear parameter-varying (LPV) systems with time delays subject to certain communication regulation under which only one sensor is allowed to transmit its measurement data at each transmission instant. The data communication is regulated by the random access protocol (RAP) for the purpose of avoiding data collisions. The main purpose of this paper is to design an LPV filter such that the resultant filtering error system is asymptotically stable and also satisfies the prescribed l(2)-l(infinity) performance in the mean square. Taking into account both the LPV nature and the possible gain perturbations, a parameter-dependent resilient filter is constructed according to the plant dynamics and scheduling behaviour of the RAP. The desired filter gain matrices are obtained by solving a set of linear matrix inequalities. Finally, a simulation example is given to validate the effectiveness and correctness of the filter design scheme.

Automated summary

This paper investigates the energy-to-peak filtering issue for a class of linear parameter-varying systems with time delays and communication regulations. A parameter-dependent resilient filter is proposed to achieve asymptotic stability and the desired performance. The filter design is based on the plant dynamics and scheduling behavior of the random access protocol. Linear matrix inequalities are used to obtain the desired filter gain matrices. A simulation example is provided to validate the effectiveness of the proposed filter design scheme.