AN OVERVIEW OF THE DEVELOPMENT OF LOW GAIN FEEDBACK ANDLOW-AND-HIGH GAIN FEEDBACK

Zongli LIN

Journal of Systems Science & Complexity ›› 2009, Vol. 22 ›› Issue (4) : 697-721.

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Journal of Systems Science & Complexity ›› 2009, Vol. 22 ›› Issue (4) : 697-721.
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AN OVERVIEW OF THE DEVELOPMENT OF LOW GAIN FEEDBACK ANDLOW-AND-HIGH GAIN FEEDBACK

  • Zongli LIN
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Abstract

Low gain feedback refers to certain families of stabilizing state feedback gains that are parameterized in a scalar and go to zero as the scalar decreases to zero. Low gain feedback was initially proposed to achieve semi-global stabilization of linear
systems subject to input saturation. It was then combined with high gain feedback in different ways for solving various control problems. The resulting feedback laws are referred to as low-and-high gain feedback. Since the introduction of low gain
feedback in the context of semi-global stabilization of linear systems subject to input saturation, there has been effort to develop alternative methods for low gain design, to characterize key features of low gain feedback, and to explore new applications of
the low gain and low-and-high gain feedback. This paper reviews the developments in low gain and low-and-high gain feedback designs.

Key words

Actuator saturation / composite nonlinear feedback / input saturation / low-and-high gain feedback / low gain feedback / nonlinear control.

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Zongli LIN. AN OVERVIEW OF THE DEVELOPMENT OF LOW GAIN FEEDBACK ANDLOW-AND-HIGH GAIN FEEDBACK. Journal of Systems Science and Complexity, 2009, 22(4): 697-721
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