access icon free Finite-time filtering for Itô stochastic Markovian jump systems with distributed time-varying delays based on optimisation algorithm

This study is concerned with the problem of finite-time filter design for a class of Itô stochastic systems with Markovian switching and distributed time-varying delays. Firstly, a partially mode-dependent filter is designed to accommodate to unreliable network transmission. The attention is focused on deriving sufficient conditions for the filtering error system to ensure the finite-time boundedness and to satisfy a prescribed disturbance attenuation. Then based on stochastic functional theory, the existence of filter is presented by solving existing linear matrix inequalities optimisation problems. Furthermore, the result is extended to the case where the mode information is completely transmitted. Finally, a numerical example is provided to show the effectiveness of the proposed results.

Inspec keywords: stochastic systems; optimisation; control system synthesis; discrete time systems; time-varying systems; filtering theory; Markov processes; Lyapunov methods; linear matrix inequalities; delays

Other keywords: filtering error system; $H∞ filter design; Itô stochastic systems; stochastic functional theory; unreliable network transmission; finite-time boundedness; optimisation algorithm; Itô stochastic Markovian jump systems; solving existing linear matrix inequalities optimisation problems; distributed time-varying delays; partially mode-dependent filter; Markovian switching

Subjects: Markov processes; Optimal control; Distributed parameter control systems; Control system analysis and synthesis methods; Stability in control theory; Optimisation techniques; Algebra; Time-varying control systems; Discrete control systems

http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2018.6119
Loading

Related content

content/journals/10.1049/iet-cta.2018.6119
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading