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

• Published in: International journal of systems science Vol. 53; no. 11; pp. 2421 - 2436
• Main Authors: Yu, Haoyang, Hu, Jun, Song, Baoye, Liu, Hongjian, Yi, Xiaojian
• Format: Journal Article
• Language: English
• Published: London Taylor & Francis 18.08.2022; Taylor & Francis Ltd
• Subjects: Data communication; energy-to-peak filtering; Filter design (mathematics); Linear matrix inequalities; Liner parameter-varying systems; Mathematical analysis; Nonlinear systems; parameter-dependent filter; Parameters; Perturbation; Random access; random access protocol; resilient filter
• ISSN: 0020-7721; 1464-5319
• DOI: 10.1080/00207721.2022.2053232

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 - 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.