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Mixed H2/H∞ control for a class of nonlinear discrete‐time networked control systems with random delays and stochastic packet dropouts
Authors:Yanqian Wang  Junwei Lu  Shuyu Zhang  Yuming Chu
Affiliation:1. School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, China;2. School of Information and Electronic Engineering, Shandong Institute of Business and Technology, Yantai, Shandong, China;3. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, Jiangsu, China;4. School of Public Administration, Shandong Institute of Business and Technology, Yantai, Shandong, China;5. School of Science, Huzhou Teachers College, Huzhou, Zhejiang, China
Abstract:The paper studies the problem of mixed H2/H control for a class of nonlinear discrete‐time networked control systems. By using the indicator function method, random network‐induced delays and stochastic packet dropouts are taken into account in a unified framework in the designed mixed H2/H controller. In the presences of random transmission delays, stochastic packet dropouts and all admissible disturbances, the resulting closed‐loop system is stochastically stable in mean square and attains the prescribed H2 and H performances. The designed mixed H2/H controller can be obtained by solving a set of feasible linear matrix inequalities. Finally, a numerical example is provided to show the usefulness and effectiveness of the developed method. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:mixed H2/H∞   control  networked control system  network‐induced delay  packet dropout  linear matrix inequality
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