Model recovery anti-windup for output saturated SISO linear closed loops |
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| Affiliation: | 1. College of Computer Science and Technology, Zhejiang University, Hangzhou 310027, China;2. Alibaba-Zhejiang University Joint Institute of Frontier Technologies, Hangzhou 310027, China;1. School of Mechanical Engineering, Southeast University, Nanjing 211189, P.R. China;7. Department of Engineering, Faculty of Engineering and Science, University of Agder, N-4898 Grimstad, Norway;71. University of Picardie Jules Verne, MIS (E.A. 4290). 80039, Amiens, France;77. Department of Mechanical Engineering, McMaster University, Hamilton, ON, L8S 4L7 Canada;1. Università Politecnica delle Marche, Dipartimento di Ingegneria dell’Informazione, Via Brecce Bianche 12, Ancona 60131, Italy;2. ODYS s.r.l., Milano, Italy |
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| Abstract: | We define model recovery anti-windup for SISO linear control systems with output saturation. We address the problem by relying on a hybrid modification of the linear closed loop which employs a suitable logic variable to activate/deactivate various components of a control scheme. The scheme relies on a finite-time observation law, an open-loop observer and an open-loop input generator which is capable of driving the plant output within the saturation limits. Then the control scheme is based on suitable (hybrid) resetting laws allowing the controller to operate on the artificial output signal generated by the open-loop observer when the actual plant output is outside the saturation limits. Unlike existing results, not only we prove uniform global asymptotic stability of the closed loop, but we also prove the local preservation and global recovery properties, typical of model recovery anti-windup paradigms. We also illustrate the proposed technique on an example study. |
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| Keywords: | Output saturation Hybrid systems Anti-windup scheme |
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