Viable immersion and invariance control for a class of nonlinear systems and its application to aero-engines |
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| Authors: | Zhi-E Lou Jun Zhao |
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| Institution: | 1. Telecommunication and Networks, National Engineering Research Center, Nanjing University of Posts and Telecommunications, Nanjing, China;2. Broadband Wireless Communication and Sensor Network Technology, Key Lab of Ministry of Education, Nanjing University of Posts and Telecommunications, Nanjing, China;3. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China;4. College of Information Science and Engineering, Northeastern University, Shenyang, China |
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| Abstract: | This paper presents a novel approach to stabilize a class of nonlinear systems with state constraints. The motivation behind this study is the need to develop a stabilizing state feedback controller that does not require the knowledge of Lyapunov function and can regulate the states to the equilibrium while meeting the constraints. By using an integration of two relatively new tools: immersion and invariance (I&I) theory and viability theory, a sufficient condition for stability and stabilizability of a general nonlinear affine system with state constraints is derived; Then, the related results are exploited to stabilize a class of nonlinear system in feedback form and with state constraints represented by inequalities and the viable I&I stabilizing state feedback controller is obtained constructively. Further, an application to a nonlinear aero-engine model with the temperature constraint is given to illustrate the applicability and the effectiveness of the proposed method. Finally, a comparative simulation is presented, highlighting the advantages of the viable I&I controller. |
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| Keywords: | Corresponding author at: College of Information Science and Engineering Northeastern University Shenyang China |
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