Output regulation control for stochastic systems with additive noise |
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| Institution: | 1. School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, China;2. The Institute of Intelligence Science and Engineering, Shenzhen Polytechnic, Shenzhen 518055, China;3. The Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, China;4. The College of Mathematics and Computer Science Zhejiang Normal University, Jinhua 321004, China;5. The School of Mathematics and Informational Science, Yantai University, Yantai 264005, China;1. School of Cyber Science and Engineering, Southeast University, Nanjing 210096, China;2. School of Mathematics, Southeast University, Nanjing 210096, China;1. Shenzhen Research Institute of Big Data, Shenzhen 518172, China;2. School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen 518172, China;1. College of Control Science and Engineering, Bohai University, Jinzhou 121013, China;2. School of Information Science and Engineering, Shandong Normal University, Jinan 250014, China;3. School of Control Science and Engineering, Tiangong University, Tianjin 300387, China;4. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China;5. Communication Systems and Networks Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | This paper investigates the robust output regulation problem for stochastic systems with additive noises. As is known, for the output regulation control problem, a general method is to regard that the system is disturbed by an autonomous exosystem (which is consisted by external disturbances and reference signals), and for the system disturbed by the white noise, the stochastic differential equations (SDEs) should be utilized in modeling, accordingly, a controller with a feedforward regulator is constructed for the stochastic system with an exosystem, which can not only cancel the external disturbance, but also transform the trajectory tracking problem into the stabilization problem; In consideration of the state variables in stochastic systems cannot be measured completely, we embed an observer to the controller, such that the random interference can be suppressed, and the trajectory tracking can be achieved. Based on the stochastic control theory, the criteria of the exponential practical stability in the mean square is presented for the closed-loop system, finally, through tuning the controller parameters, the mean square of the tracking error can converge to an arbitrarily small neighborhood of the origin. |
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