## 摘要

This paper considers the same problem of Furuta (1990) in discrete-time variable structure systems (VSS), but from a different viewpoint. A simple discrete-time variable structure control, which consists of an equivalent control U_{eq}=K_{eq}X(k) and a discontinuous control U_{d}=K_{d}X(k), is derived to stabilize the system globally. It should be emphasized that the discontinuous feedback gain K_{d} here is a vector with the same elements; i.e., K_{d}=k_{d}[1 1... 1]. The concept of the equilibrium point of the diagonalized system instead of the transformation matrix-T in Furuta (1990) is utilized to determine the switching region. Since the derived switching surface for the control law is not only on the surface s(k)=0, but also in the vicinity of s(k)=0 (i.e., the switching region), the chattering along the sliding mode is reduced explicitly.

原文 | ???core.languages.en_GB??? |
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頁（從 - 到） | 1-16 |

頁數 | 16 |

期刊 | Control, theory and advanced technology |

卷 | 8 |

發行號 | 1 |

出版狀態 | 已出版 - 3月 1992 |