Global smooth stabilization of a class of feedforward systems under the framework of generalized homogeneity with monotone degrees |
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| Authors: | Chuanlin Zhang Chunjiang Qian Shihua Li |
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| Institution: | 1. School of Automation, Southeast University, Nanjing, Jiangsu 210096, China;2. Department of Electrical and Computer Engineering, University of Texas at San Antonio, San Antonio, TX 78249, USA;1. Department of Automatization, Wuhan University, Wuhan 430072, PR China;2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China;3. College of Electrical and Information Engineering, Hunan University, Changsha 410082, PR China;1. School of Automation, Southeast University, Nanjing 210096, PR China;2. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, PR China;3. School of Hydraulic, Energy and Power Engineering, Yangzhou University, Yangzhou 225127, PR China;1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, PR China;2. School of Automation, Southeast University, Nanjing 210096, PR China;3. Department of Electrical and Computer Engineering, The University of Texas at San Antonio, San Antonio, TX 78249, USA;1. School of Automation, Southeast University, Nanjing 210096, PR China;2. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, PR China;3. Aviation Key Laboratory of Science and Technology on Aircraft Control, Facri, Xian 710065, PR China |
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| Abstract: | In this paper, based on the concept of generalized homogeneity with monotone degrees (HWMD), we develop a new design procedure to explicitly construct global stabilizers for a class of feedforward systems. The proposed controller design strategy has several new features. First, a series of positive constant gains instead of function gains are employed for a simpler controller construction. Second, the flexibility of HWMD provides a general framework to unify several existing results. Third, it is now possible to design continuously differentiable stabilizers for some feedforward systems, for which only continuous stabilizers were previously designed. Moreover, for feedforward systems with decreasing powers, the proposed approach will enable us to design a locally linear saturation control law which is easier to be implemented in practical applications. |
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