Global Finite-Time Stabilization of Planar Linear Systems With Actuator Saturation

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This brief addresses the problem of global finite-time stabilization of planar linear systems subject to actuator saturation. A simple saturated proportional-derivative controller is proposed. Lyapunov stability theory and geometric homogeneity technique are employed to show global finite-time stability. The appealing features of the proposed control include the very simple structure and intuitive construction that involves only a single saturation function and the ability to ensure global finite-time stabilization and actuator saturation is not violated. The proposed control actually provides an easy solution for high-quality stabilization of a large class of planar systems in the presence of actuator saturation.
Original languageEnglish
Article number7738419
JournalIEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
Volume64
Issue number8
Pages (from-to)947-951
Number of pages5
ISSN1549-7747
DOIs
Publication statusPublished - 08.2017

    Research areas

  • Actuator saturation, finite-time stability (FTS), global stability, planar systems, proportional-derivative (PD) control
  • Engineering

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  1. Mark Euler

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