Mathematics of Control, Signals and Systems

, Volume 2, Issue 4, pp 359–380 | Cite as

Chattering linear systems: A model of rapidly oscillating coefficients

  • Zvi Artstein
Article
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Abstract

We introduce linear control systems, termed chattering systems, which model instantaneous oscillations in the control parameters. Such systems serve as a limit case of systems with rapidly oscillating control parameters, which can be analyzed as perturbations from the chattering model. Several optimization and regulation problems for chattering systems are examined, along with the robustness property: the possibility of employing the solutions of the chattering case in the rapidly oscillating approximations. The theory is demonstrated on an example of an armature-controlled dc motor.

Key words

Time-varying linear systems Chattering Variational convergence 
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Copyright information

© Springer-Verlag New York Inc. 1989

Authors and Affiliations

  • Zvi Artstein
    • 1
  1. 1.Department of Theoretical MathematicsThe Weizmann Institute of ScienceRehovotIsrael

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