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Sliding-mode observers for nonlinear systems with unknown inputs and measurement noise

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  • Control Theory
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Abstract

This paper deals with the design of observers for Lipschitz nonlinear systems with not only unknown inputs but also measurement noise when the observer matching condition is not satisfied. First, an augmented vector is introduced to construct an augmented system, and an auxiliary output vector is constructed such that the observer matching condition is satisfied and then a high-gain sliding mode observer is considered to get the exact estimates of both the auxiliary outputs and their derivatives in a finite time. Second, for nonlinear system with both unknown inputs and measurement noise, an adaptive robust sliding mode observer is developed to asymptotically estimate the system’s states, and then an unknown input and measurement noise reconstruction method is proposed. Finally, a numerical simulation example is given to illustrate the effectiveness of the proposed methods.

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Authors and Affiliations

  1. College of Electronics and Information Engineering, Tongji University, Shanghai, 201804, China

    Junqi Yang & Fanglai Zhu

  2. College of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, 454000, China

    Junqi Yang

  3. Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai, 201620, China

    Wei Zhang

Authors
  1. Junqi Yang
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  2. Fanglai Zhu
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  3. Wei Zhang
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Corresponding author

Correspondence to Fanglai Zhu.

Additional information

Recommended by Editorial Board member Juhoon Back under the direction of Editor Hyungbo Shim.

This work is supported by National Nature Science Foundation (NNSF) of China under Grant 61074009.

This work is also supported by the Research Fund for the Doctoral Program of Higher Education of China under Grant 20110072110015, Guangxi Key Laboratory of Manufacturing System and Advanced Manufacturing Technology under Grant PF110289, the Fundamental Research Funds for the Central Universities, Shanghai Leading Academic Discipline Project under Grant B004, the Program of Natural Science of Henan Provincial Education Department under Grant 13B413035 and 13B413028, and Shanghai Municipal Natural Science Foundation under Grant 12ZR1412200.

Junqi Yang received his M.S. degree in Control Theory and Control Engineering from China Three Gorges University in 2005. He is currently a Ph.D. candidate in Control Theory and Control Engineering at Tongji University, China. His research interests include observer design, model-based fault detection, and fault-tolerant control.

Fanglai Zhu received his Ph.D. degree in Control Theory and Control Engineering from Shanghai Jiao Tong University in 2001. Now he is a professor of Tongji University, China. His research interests include nonlinear observer design, chaotic synchronization based on observer, system identification, and model-based fault detection and isolation.

Wei Zhang received his Ph.D. degree in Control Theory and Control Engineering from Shanghai Jiao Tong University, Shanghai, China, in 2010. He is currently an associate professor with the Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai, China. His current research interests lie in the areas of nonlinear observer design, robust control and networked control systems.

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Yang, J., Zhu, F. & Zhang, W. Sliding-mode observers for nonlinear systems with unknown inputs and measurement noise. Int. J. Control Autom. Syst. 11, 903–910 (2013). https://doi.org/10.1007/s12555-012-0463-9

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  • DOI: https://doi.org/10.1007/s12555-012-0463-9

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