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Robust estimation algorithm for both switching signal and state of switched linear systems

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  • Control Theory and Applications
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Abstract

We present a hybrid-type observer for detecting the switching time and estimating both the active mode and the states of continuous-time switched linear systems. The systems under consideration have external inputs and are affected by unknown disturbances. In addition, noise corrupts the output measurements. In this setting the switching cannot be detected immediately, and thus, this paper presents a condition that relates the amount of delay to the sizes of the unknown disturbances/noises, the external inputs, and the states, and the strength of the observability. Once the condition is satisfied, the proposed observer and algorithm return the exact active mode and approximate state information of the switched system. A numerical example is also presented to show the performance of our algorithm..

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Hefei University of Technology, Hefei, China

    Zhaowu Ping

  2. Hyungbo Shim are with ASRI, Department of Electrical and Computer Engineering, Seoul National University, Seoul, Korea

    Chanhwa Lee & Hyungbo Shim

Authors
  1. Zhaowu Ping
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  2. Chanhwa Lee
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  3. Hyungbo Shim
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Correspondence to Hyungbo Shim.

Additional information

Recommended by Associate Editor Young Ik Son under the direction of Editor Yoshito Ohta. This work was partly supported by the National Research Foundation of Korea (NRF) grant funded by the Ministry of Science, ICT & Future Planning (MSIP) (2015R1A2A2A01003878), Global Research Laboratory Program through the NRF funded by the MSIP (2013K1A1A2A02078326), DGIST Research and Development Program (CPS Global Center) funded by the MSIP, the National Natural Science Foundation of China (61403117), Project funded by China Postdoctoral Science Foundation (2016M602015), and the Fundamental Research Funds for the Central Universities (2014HGQC0013). The preliminary version of this paper has been presented as [23].

Zhaowu Ping received his Ph.D. degree from Chinese University of Hong Kong in 2011. Then he worked in Seoul National University as postdoctoral researcher from 2012 to 2013. He is now with Hefei University of Technology as associate professor. His research interests include nonlinear control theory and applications, control and estimation of switched systems.

Chanhwa Lee received his B.S. and M.S. degrees in electrical engineering from Seoul National University, Korea, in 2008 and 2010, respectively, where he is currently working toward the Ph.D. degree in the Department of Electrical and Computer Engineering. From 2010 to 2012, he was an electrical engineer with Hyundai Engineering Company, Ltd., Korea. His research interests include observers for switched systems and security problems on cyber-physical systems.

Hyungbo Shim received his B.S., M.S., and Ph.D. degrees in electrical engineering from Seoul National University, Korea, in 1993, 1995 and 2000, respectively. From 2000 to 2001 he was a post-doctoral researcher at University of California, Santa Barbara. Since 2003, he has been with Seoul National University, where he is now a professor. He has served as Associate Editor for the journals IEEE Trans. on Automatic Control and Automatica. His research interests include analysis and control of nonlinear systems with emphasis on observer design.

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Ping, Z., Lee, C. & Shim, H. Robust estimation algorithm for both switching signal and state of switched linear systems. Int. J. Control Autom. Syst. 15, 95–103 (2017). https://doi.org/10.1007/s12555-015-0178-9

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  • DOI: https://doi.org/10.1007/s12555-015-0178-9

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