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Reliable H∞ Control for a Class of Nonlinear Networked Control Systems with Random Delays
Authors:Yanqian Wang  Guangming Zhuang  Shuyu Zhang  Zhenfang Shan
Abstract:In this paper, the problem of reliable H controller design is studied for a class of nonlinear networked control systems. A novel model is presented, which contains random transmission delays, faults of the sensor and actuator. The sensor‐to‐controller and controller‐to‐actuator transmission delays with upper bounds are considered, simultaneously. The working conditions of the sensor and actuator are formulated as two independent Markov chains, which take matrix values in finite sets, respectively. The resulting closed‐loop system is converted into a Markov switching system. On the basis of the cone complementary linearization algorithm, a mode‐dependent reliable controller is constructed such that the closed‐loop system is stochastically stable and attains the prescribed H disturbance attenuation level. Finally, a numerical example is given to show the effectiveness of the developed technique.
Keywords:Nonlinear networked control systems  reliable H∞  control  Markov switching system  cone complementary linearization algorithm  linear matrix inequality
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