access icon free HMM-based filtering for slow-sampling singularly perturbed jumping systems

© The Institution of Engineering and Technology
Received 08/06/2019, Accepted 13/05/2020, Revised 05/04/2020, Published 21/05/2020

This study concentrates on the filtering for the slow-sampling jumping singularly perturbed systems, in which the situation that the filter mode is inconsistent with the system mode is taken into consideration. Based on the hidden-Markov model (HMM), such an asynchronous phenomenon between the system mode and the filter mode is depicted. Additionally, the unreliable communication channel resulting in packet loss is described through the assistance of a random variable. The authors' purpose is to design a filter that ensures the error system is extended stochastically dissipative. Moreover, with the aid of the Lyapunov stability theory and linear matrix inequality approach, a set of -independent conditions are derived to obtain the filter gains. Eventually, the effectiveness of the proposed method is demonstrated by a numerical example and a modified tunnel diode circuit model.

Inspec keywords: Lyapunov methods; singularly perturbed systems; stochastic processes; stability; Markov processes; hidden Markov models; linear matrix inequalities

Other keywords: system mode; slow-sampling singularly perturbed jumping systems; error system; filter gains; hidden-Markov model; unreliable communication channel; slow-sampling jumping; HMM-based filtering; filter mode

Subjects: Control system analysis and synthesis methods; Algebra; Probability theory, stochastic processes, and statistics; Stability in control theory; Optimal control; Markov processes

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