access icon free Finite-time energy-to-peak filtering for Markov jump repeated scalar non-linear systems with packet dropouts

This study is concerned with the finite-time energy-to-peak filtering problem for Markov jump repeated scalar non-linear systems with packet dropouts. The packet dropout phenomenon occurs in a random way and is modelled by a stochastic variable satisfying the Bernoulli distribution. The purpose of the study is to design a filter such that the resulting filtering error system is stochastically finite-time bounded, and a prescribed energy-to-peak performance level is achieved over a finite time interval. By using the mode-dependent diagonally dominant Lyapunov function approach, some strict linear matrix inequality-based conditions are established for the existence of an admissible filter, and a corresponding explicit parameterisation of such a filter is obtained. Finally, a numerical example with simulation is presented to demonstrate the effectiveness of our proposed approach.

Inspec keywords: Lyapunov methods; stochastic systems; linear matrix inequalities; Markov processes; nonlinear control systems; discrete time systems; filtering theory

Other keywords: filter design; energy-to-peak performance level; packet dropouts; Bernoulli distribution; stochastic variable; finite-time energy-to-peak filtering; Markov jump repeated scalar nonlinear systems; mode-dependent diagonally dominant Lyapunov function approach; finite time interval; linear matrix inequality-based conditions; filtering error system

Subjects: Time-varying control systems; Discrete control systems; Markov processes; Stability in control theory; Signal processing theory; Linear algebra (numerical analysis); Nonlinear control systems; Linear algebra (numerical analysis); Markov processes; Filtering methods in signal processing

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http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2013.1068
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