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Variable structure control for sampled-data systems

  • Katsuhisa Furuta
  • Yaodong Pan
Part B Hybrid Systems
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 241)

Abstract

For a continuous-time system, a sliding sector is designed as a subset of the system state space, where some norm of the state decreases. The continuous-time VS control law is designed to move the system state from the outside to the inside of the sliding sector. The sector is defined as the PR-Sliding Sector where the norm is defined as the quadratic form of the state with the symmetric matrix P and its derivative is less than negative of a quadratic form of the state with the matrix R. In the paper, the discrete-time VS controller for the sampled-data system is designed as an extension of the continuous-time VS controller. The discrete-time sliding sector is to be defined as a subset of the continuous-time sliding sector. The discrete-time VS control law is equal to the continuous-time VS control law at every sampling instant. It is proved that such discrete-time sliding sector for a sampled-data system exists and the proposed discrete-time VS controller quadratically stabilizes the sampled-data system if the sampling interval and the feedback coefficient are chosen suitably. Simulation result is given to show the effectiveness of the proposed VS controller for sampled-data systems.

Keywords

Riccati Equation Sampling Instant Positive Definite Symmetric Matrix Variable Structure Control Pendulum System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 1999

Authors and Affiliations

  • Katsuhisa Furuta
  • Yaodong Pan
    • 1
  1. 1.Department of Mechanical and Environmental InformaticsTokyo Institute of TechnologyTokyoJapan

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