From Poncelet's invariance principle to active disturbance rejection

  • Authors:
  • Gang Tian;Zhiqiang Gao

  • Affiliations:
  • Center for Advanced Control Technologies, Department of Electrical and Computer Engineering, Cleveland State University, Cleveland, OH;Center for Advanced Control Technologies, Department of Electrical and Computer Engineering, Cleveland State University, Cleveland, OH

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

This is a brief survey of a little known field of disturbance estimation and subsequent cancellation, a field with a long history and is still rather disorganized. Researchers and results are scattered over almost two centuries, across East and West: from Jean-Victor Poncelet's Principle of Invariance in 1829, to Jingqing Han's conception of Active Disturbance Rejection in 1995 and beyond. But the field in recent years is maturing and coming into a focus with significant practical and theoretical implications abound. It provides a powerful alternative to the modern control paradigm in how real world control problems, of which disturbance rejection is a central theme, are viewed and solved. In this paper a reader will find a brief history of ideas, a new, unifying, problem formulation, and a summary of recent stability analysis results.