Reliable \(\mathcal{H}_\infty\) filtering for the SP resonant ICPT system with stochastic multiple sensor faults. (English) Zbl 1478.93702
Summary: The inductively coupled power transfer (ICPT) system is one of the most important system in the wireless power transfer field. In this paper, the reliable \(\mathcal{H}_\infty\) filtering problem is considered for the ICPT system based on the series-parallel (SP) resonant compensation network. A more general SP resonant ICPT system model is proposed with considering external disturbances and multiple sensor faults. The sensor faults are assumed to happen in a random way, which are described by a set of stochastic variables satisfying certain statistical features. The main purpose of the addressed problem is to design an \(\mathcal{H}_\infty\) filtering scheme such that the filtering error dynamics are asymptotically mean-square stability (AMSS). For this purpose, a generalized state-space averaging (GSSA) model is built to characterize dynamical behaviors of the SP resonant ICPT system first. Then the filtering-error system with stochastic sensor faults is established via the GSSA model. By virtue of an extended Lyapunov function, a sufficient condition is given to achieve the AMSS of the system and \(\mathcal{H}_\infty\) performance requirement. Subsequently, the \(\mathcal{H}_\infty\) filtering gains are obtained by solving a set of linear matrix inequalities. Finally, a simulation example is provided to verify the availability and reliability of the proposed filtering scheme.
MSC:
| 93E11 | Filtering in stochastic control theory |
| 93E15 | Stochastic stability in control theory |
| 93D20 | Asymptotic stability in control theory |
| 93B36 | \(H^\infty\)-control |
Keywords:
inductively coupled power transfer (ICPT); \( \mathcal{H}_\infty\) filter; generalized state-space averaging (GSSA); Lyapunov functional method; stochastic sensor faultsReferences:
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