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Advances in Sliding Mode Control pp 283–297Cite as

Observers with Discrete-Time Measurements in the Sliding Mode Output-Feedback Stabilization of Nonlinear Systems

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 440))

Abstract

The chapter investigates the problem of designing an observer for nonlinear nonaffine systems with discrete-time measurements (continuous-discrete-time systems). The chapter considers the variable-structure control of nonlinear systems when the state vector is not completely available and the output measurements are discrete-time; the use of suitably designed observers is required. The strategy of introducing integrators in the input channel is exploited to enlarge the class of tractable control systems. An observer is proposed and conditions are found under which the convergence to the unique ideal solution is proven for both system and observer. The control problem is solved by forcing a sliding regime for the observer, while satisfying an exponential stability criterion for the observation error state equation.

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Authors and Affiliations

  1. Institute of Intelligent Systems for Automation (CNR-ISSIA), National Research Council of Italy, Via De Marini, 6, 16149, Genoa, Italy

    Elisabetta Punta

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  1. Elisabetta Punta
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Correspondence to Elisabetta Punta .

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Editors and Affiliations

  1. , Interdisciplinary Programme in Systems, Indian Institute of Technology Bombay, ACRE Building 114 B, Mumbai, 400 076, Maharashtra, India

    B Bandyopadhyay

  2. , Dept. of Electrical Engineering, Indian Institute of Technology Delhi, Room No : II/335, New Delhi, 110 016, India

    S Janardhanan

  3. , Department of Electronics, University of Kent, Jennison Building - Room 1.54, Kent, CT2 7NT, United Kingdom

    Sarah K. Spurgeon

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Punta, E. (2013). Observers with Discrete-Time Measurements in the Sliding Mode Output-Feedback Stabilization of Nonlinear Systems. In: Bandyopadhyay, B., Janardhanan, S., Spurgeon, S. (eds) Advances in Sliding Mode Control. Lecture Notes in Control and Information Sciences, vol 440. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36986-5_14

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  • DOI: https://doi.org/10.1007/978-3-642-36986-5_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36985-8

  • Online ISBN: 978-3-642-36986-5

  • eBook Packages: EngineeringEngineering (R0)

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