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Observer-based quantized control of nonlinear systems with input saturation

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Abstract

This paper deals with the problem of observer-based quantized control of nonlinear systems subject to actuator saturation and bounded disturbances. The nonlinearity is assumed to satisfy the local Lipschitz condition and appear in the state equation. Attention is focused on the design of an observer-based controller such that the resulting closed-loop system is convergent to a minimal ellipsoid for every initial condition emanating from a large admissible domain. The admissible Lipschitz constant, the disturbance attenuation level, and admissible domains are obtained through a convex optimization problem. A sufficient condition for the existence of quantized observers guarantees asymptotic stability for the resulting error dynamical system. Finally, illustrative examples are provided to demonstrate the effectiveness of the proposed approach.

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Acknowledgments

This work was partially supported by the following grants: The Startup Foundation for Introducing Talent of NUIST (No. S8113107001), the Practice Innovation Training Program Projects for College Students (No. 201510300185), Natural Science Fundamental Research Project of Jiangsu Colleges and Universities (No. 15KJB120007), National Natural Science Foundation of P. R. China (No. 61503190, 61573189, 61403207), Natural Science Foundation of Jiangsu Province (No. BK20150927, BK20131000), Outstanding Youth Science Fund Award of Jiangsu Province (No. BK20140045), Six talents in Jiangsu Province (No. 2015–DZXX–013), the Perspective Research Foundation of Production Study and Research Alliance of Jiangsu Province (No. BY2015007–01).

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Authors and Affiliations

  1. CICAEET, School of Information and Control, Nanjing University of Information Science and Technology, Nanjing, 210044, Jiangsu, People’s Republic of China

    Gongfei Song, Tao Li, Kai Hu & Bo-Chao Zheng

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  1. Gongfei Song
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  2. Tao Li
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  3. Kai Hu
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  4. Bo-Chao Zheng
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Correspondence to Gongfei Song.

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Song, G., Li, T., Hu, K. et al. Observer-based quantized control of nonlinear systems with input saturation. Nonlinear Dyn 86, 1157–1169 (2016). https://doi.org/10.1007/s11071-016-2954-3

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