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| DOI：10.1007/s11768-010-9176-x |
| Received:September 03, 2009Revised:September 03, 2009 |
| 基金项目:the Engineering and Physical Sciences Research Council (EPSRC) of the UK (No.GR/S27658/01), the Royal Society of the UK and the Alexander von Humboldt Foundation of Germany |
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| Robust control for a class of nonlinear networked systems with stochastic communication delays via sliding mode conception |
| Lifeng MA,Zidong WANG,Xueming CHEN,Zhi GUO |
| (Nanjing Univeristy of Science and Technology;Brunel University;Texas Southern University;Nanjing University) |
| 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. |
| Key words: Sliding mode control Nonlinear systems Networked systems Stochastic communication delays |
