Nonlinear stochastic passivity,feedback equivalence and global stabilization |
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| Authors: | Zhongwei Lin Jizhen Liu Yan Lin Weihai Zhang |
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| Affiliation: | 1. MOE Key Laboratory of Condition Monitoring and Control for Power Plant Equipment, School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, People's Republic of China;2. School of Automation, Beijing University of Aeronautics and Astronautics, Beijing 100191, People's Republic of China;3. College of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao 266510, People's Republic of China |
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| Abstract: | This paper addresses several important issues including stochastic passivity, feedback equivalence and global stabilization for a class of nonlinear stochastic systems. Based on a nonlinear stochastic Kalman–Yacubovitch–Popov (KYP) lemma, we investigate the relationship between a stochastic passive system and the corresponding zero‐output system. Different from the deterministic case, it is shown for the first time that feedback equivalence to a stochastic passive system requires a strong minimum‐phase condition, not the minimum‐phase one. Following the stochastic passivity theory, global stabilization results are established for a class of nonlinear stochastic systems with relative degree 1≤r<n. An example is presented to illustrate the effectiveness of our results. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | stochastic systems nonlinear systems passive systems stability in probability |
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