Simultaneous exponential stabilization for stochastic port-controlled Hamiltonian systems with actuator saturations,fading channels and delays |
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| Institution: | 1. Institute of Automation, Qufu Normal University, Qufu 273165, PR China;2. School of Engineering, Qufu Normal University, Rizhao 276826, PR China;1. College of Electrical Engineering, North China University of Science and Technology, Tangshan, China;2. Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China;3. Department of Electrical Engineering, Yeungnam University, Kyongsan, Republic of Korea;1. Department of Electronics and Communication Engineering, National Institute of Technology Raipur, Raipur, Chhattisgarh 492010, India;2. Department of Electronics and Communication Engineering, National Institute of Technology Durgapur, Durgapur, West Bengal 713209, India;1. College of Science, Hunan University of Technology, Zhuzhou 412000, PR China;2. School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412000, Hunan, PR China;1. National Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, China;2. School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China;1. College of Science, Hohai University, Nanjing 210098, People’s Republic of China;2. School of Mathematics, Southeast University, Nanjing, 210096, People’s Republic of China;3. School of Mathematics and Informational Science, Yantai University, Yantai 264005, People’s Republic of China;4. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea |
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| Abstract: | This paper is concerned with the simultaneous exponential stabilization problem for a set of stochastic port-controlled Hamiltonian (PCH) systems. Due to the limited bandwidth of the channels, the phenomena of fading channels and transmission delays which are described by a time-varying stochastic model always occur in the communication channels from the controller to the actuator. Meanwhile, actuator saturation constraint is taken into account. On the basis of dissipative Hamiltonian structural and saturating actuator properties, those stochastic PCH systems are combined to generate an augmented system. By utilizing the stochastic analysis theory, sufficient criterions are given for the simultaneous stabilization controller design ensuring that the closed-loop system is simultaneously exponentially mean-square stable (SEMSS). For the case that there exist external disturbances in the systems, some results on stability analysis and controller design are given. The developed controller design scheme is proved by a three-helicopter model simulation example. |
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