Periodic event-based asynchronous filtering of switched systems
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© 2019 The Franklin Institute This paper provides a periodic event-based asynchronous H∞ filter design for switched systems subject to limited communication resources. The governing equations for the physical system are combined with those of the proposed event-based asynchronous filter and the resulting equations are formulated as a switched filtering error system with time-varying delay. For the achieved switched delay filtering error system, sufficient conditions in terms of linear matrix inequalities are obtained to achieve exponential stability and a prescribed H∞ disturbance attenuation level. Tools and techniques from delay-dependent Lyapunov theory, free-weighting matrices, and average dwell time for switched systems are used to obtain the main results. Further, a synthesis procedure for the filter gains, the event-triggering condition parameters, and a lower bound on the average dwell time of the switching signal is provided. A numerical example on a switched RLC circuit is finally provided to evaluate the proposed design and results.
author list (cited authors)
Ma, G., Liu, X., Pagilla, P. R., & Ge, S. S.