Abstract
ABSTRACTIn this paper, the network-based robust filtering problem is investigated for a class of nonlinear delayed Markovian jump systems subject to packet dropouts. To regulate the transmission order of multiple sensor nodes, the Weighted Try-Once-Discard (WTOD) protocol is adopted to avoid data collision and improve transmission accuracy and efficiency. Via the scheduling of WTOD protocol, only one sensor node is allowed to get access to the shared communication network at each step to send data. The purpose of the addressed problem is to design a network-based filter such that, the prespecified disturbance attenuation level is guaranteed with the help of scheduling of WTOD protocol. Sufficient conditions are established for the existence of desired filter where the filter parameters are obtained by solving the proposed series of recursive linear matrix inequalities (RLMIs). Finally, an illustrative example is given to demonstrate the effectiveness of the presented filter design method.
Highlights
As a class of stochastic hybrid systems, Markovian jump systems (MJSs) have been extensively utilized to model the dynamic systems with random abrupt variations of system structure (Boukas, 2006; Shi, Mahmoud, Nguang, & Ismail, 2006; Wu, Shi, & Gao, 2010)
The network-based robust H∞ filtering problem is investigated for a class of nonlinear delayed Markovian jump systems subject to packet dropouts
The filter design algorithm for the Markovian systems under the scheduling of Weighted Try-Once-Discard (WTOD) protocol is proposed in the following theorem, where the desired filter matrices could be obtained by solving a set of recursive linear matrix inequalities (RLMIs)
Summary
As a class of stochastic hybrid systems, Markovian jump systems (MJSs) have been extensively utilized to model the dynamic systems with random abrupt variations of system structure (Boukas, 2006; Shi, Mahmoud, Nguang, & Ismail, 2006; Wu, Shi, & Gao, 2010). The coupling between WTOD protocol and packet dropout is a key issue, which will make the networked filtering problem become complex This motivates our research interest and the coupling problem will be solved in the following work. Summarizing the above discussions, an interesting and challenging research problem is clear, that is, investigating the H∞ filtering problem for nonlinear Markovian jump systems with packet dropout under the scheduling of WTOD protocol. Motivated by the above discussions, the networkbased H∞ finite-horizon filtering problem is investigated for a class of discrete time-varying nonlinear Markovian jump systems with packet dropouts and time-delay under the scheduling of WTOD protocol. (1) The H∞ filtering problem is, for the first time, researched for discrete-time nonlinear Markovian jump systems under the scheduling of WTOD protocol. The symbol * in a matrix means that the corresponding term of the matrix can be obtained by symmetric property
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