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Discrete-Time Sliding Mode Control Using Output Feedback and Nonlinear Surface

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Sliding Modes after the First Decade of the 21st Century

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 412))

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Abstract

In this chapter, a nonlinear sliding surface is discussed to improve the transient response for general discrete-time multiple input multiple output linear systems with matched perturbations. The nonlinear surface modulates the closed loop damping ratio from an initial low to final high value to achieve better transient performance. The control law is based on the discrete-time sliding mode equivalent control and thus eliminates chattering. The control law is proposed based on two approaches: (1) reaching law based approach which needs only disturbance bounds and (2) disturbance observer based approach. Multirate output feedback is used to relax the need of the entire state vector for implementation of the control law. A possible extension of the nonlinear surface to input-delay systems is also presented.

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Author information

Authors and Affiliations

  1. Indian Institute of Technology, Bombay, India

    Bijnan Bandyopadhyay

  2. Indian Institute of Technology, Guwahati, India

    Fulwani Deepak

Authors
  1. Bijnan Bandyopadhyay
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  2. Fulwani Deepak
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Editor information

Editors and Affiliations

  1. Departamento de Ingenieria de Control y Robotica, Division de Ingenieria Electrica, Universidad Nacional Autonoma de Mexico, Ciudad Universitaria, Instituto de Ingenieria, 04510, Mexico, D.F., Mexico

    Leonid Fridman

  2. Instituto de Ingenieria, Universidad Nacional Autonoma de Mexico, Ciudad Universitaria, 04510, Mexico, D.F., Mexico

    Jaime Moreno

  3. Instituto de Ingenieria, Departamento de Ingenieria de Control y Robotica, Division de Ingenieria Electrica, Universidad Nacional Autonoma de Mexico, Ciudad Universitaria,, 04510, Mexico, D.F., Mexico

    Rafael Iriarte

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Bandyopadhyay, B., Deepak, F. (2011). Discrete-Time Sliding Mode Control Using Output Feedback and Nonlinear Surface. In: Fridman, L., Moreno, J., Iriarte, R. (eds) Sliding Modes after the First Decade of the 21st Century. Lecture Notes in Control and Information Sciences, vol 412. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22164-4_14

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  • DOI: https://doi.org/10.1007/978-3-642-22164-4_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22163-7

  • Online ISBN: 978-3-642-22164-4

  • eBook Packages: EngineeringEngineering (R0)

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