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Sliding Mode Observer Design for Discrete Nonlinear Time-delay Systems with Stochastic Communication Protocol

Shuai Chen*, Jun Guo, and Lifeng Ma
International Journal of Control, Automation, and Systems, vol. 17, no. 7, pp.1666-1676, 2019

Abstract : "In this paper, the network-based sliding mode observer is investigated for a class of discrete nonlinear time-delay systems with stochastic communication protocol. The stochastic communication protocol is adopted to regulate the transmission order of the measurements from multiple sensor nodes, which could effectively avoid data collisions. Under the scheduling of communication protocol, only one sensor node is allowed to get access to the shared communication network at each time step for data transmission. Moreover, the stochastic communication protocol is governed by a Markov chain, which converts the protocol-constrained system into a Markovian jump system. It is the purpose to design a sliding mode observer such that, with the stochastic communication protocol, the trajectories of the estimation error system are driven into a band of the sliding surface and, in subsequent time, the sliding motion is mean-square asymptotically stable. By solving a minimization problem, the sufficient conditions for the desired sliding mode observer are established. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed algorithm."

Keyword : "Markovian jump systems, networked systems, sliding mode observer, stochastic communication protocol. "

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