access icon free On dissipativity-based filtering for discrete-time switched singular systems with sensor failures: a persistent dwell-time scheme

The work is interested in the extended dissipative filtering issue for switched singular discrete-time systems with sensor failures. The persistent dwell-time switching regularity is utilised to describe the successive occurrence of slow switching and fast switching in a switched singular system. A set of variables, which take values in a fixed interval, are utilised for the quantitative analysis of the sensor failures. The main objective is centred on designing a reliable mode-dependent filter which can ensure that the resulting filtering error system is exponentially admissible and simultaneously satisfies the extended dissipative property in the presence of sensor failures. By adopting suitable decoupling methods and introducing reasonable matrix transformation techniques, some relaxed sufficient conditions are derived. The filter gains can be obtained by solving a convex optimisation problem in terms of linear matrix inequalities. Finally, an illustrative example is presented to verify the applicability of the designed filter.

Inspec keywords: asymptotic stability; linear matrix inequalities; Lyapunov methods; discrete time systems; time-varying systems; linear systems; filtering theory

Other keywords: discrete-time systems; designed filter; extended dissipative property; resulting filtering error system; persistent dwell-time switching regularity; switched singular system; introducing reasonable matrix transformation techniques; persistent dwell-time scheme; suitable decoupling methods; filter gains; singular systems; dissipativity-based; extended dissipative filtering issue; reliable mode-dependent filter; slow switching; fast switching; sensor failures

Subjects: Discrete control systems; Control system analysis and synthesis methods; Optimal control; Linear control systems; Stability in control theory; Algebra; Distributed parameter control systems; Filtering methods in signal processing; Time-varying control systems

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