Title :
From Poncelet´s invariance principle to Active Disturbance Rejection
Author :
Tian, Gang ; Gao, Zhiqiang
Author_Institution :
Dept. of Electr. & Comput. Eng., Cleveland State Univ., Cleveland, OH, USA
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.
Keywords :
control system synthesis; feedback; stability; Poncelet´s Invariance principle; active disturbance rejection; disturbance estimation; stability analysis; subsequent cancellation; Attenuation; Centralized control; Control systems; Feedback control; History; Mathematical model; Scattering; Shape control; Stability analysis; System analysis and design;
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2009.5160285