Global adaptive control for uncertain nonaffine nonlinear hysteretic systems |
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| Affiliation: | 1. School of Mathematics and Physics, Bohai University, Jinzhou, 121013 Liaoning, China;2. College of Engineering, Bohai University, Jinzhou, 121013 Liaoning, China;1. College of Automation and Electronic Engineering, Qingdao University of Science and Technology, Qingdao 266061, China;2. Department of Chemical and Materials Engineering, University of Alberta, Edmonton T6G 2G6, Canada |
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| Abstract: | In this paper, the global output tracking is investigated for a class of uncertain nonlinear hysteretic systems with nonaffine structures. By combining the solution properties of the hysteresis model with the novel backstepping approach, a robust adaptive control algorithm is developed without constructing a hysteresis inverse. The proposed control scheme is further modified to tackle the bounded disturbances by adaptively estimating their bounds. It is rigorously proven that the designed adaptive controllers can guarantee global stability of the closed-loop system. Two numerical examples are provided to show the effectiveness of the proposed control schemes. |
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| Keywords: | Nonaffine nonlinear systems Nonlinear systems Hysteresis Adaptive control Backstepping |
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