Robust control for a class of nonlinear networked systems with stochastic communication delays via sliding mode conception |
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Authors: | Lifeng MA Zidong WANG Xueming CHEN and Zhi GUO |
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Affiliation: | 1. School of Automation,Nanjing University of Science and Technology,Nanjing Jiangsu 210094,China 2. Department of Information Systems and Computing,Brunel University,Uxbridge Middlesex UB8 3PH,UK 3. Department of Engineering Technology,Texas Southern University,Houston TX 77004,USA |
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Abstract: | This paper deals with the robust control problem for a class of uncertain nonlinear networked systems
with stochastic communication delays via sliding mode conception (SMC). A sequence of variables obeying Bernoulli
distribution are employed to model the randomly occurring communication delays which could be different for different
state variables. A discrete switching function that is different from those in the existing literature is first proposed. Then,
expressed as the feasibility of a linear matrix inequality (LMI) with an equality constraint, sufficient conditions are derived
in order to ensure the globally mean-square asymptotic stability of the system dynamics on the sliding surface. A discretetime
SMC controller is then synthesized to guarantee the discrete-time sliding mode reaching condition with the specified
sliding surface. Finally, a simulation example is given to show the effectiveness of the proposed method. |
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Keywords: | Sliding mode control Nonlinear systems Networked systems Stochastic communication delays |
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