Semi-global stabilization of minimum phase nonlinear systems in special normal forms
Systems & Control Letters
Output regulation for linear systems subject to input saturation
Automatica (Journal of IFAC)
Linear controller for an inverted pendulum having restricted travel: a high-and-low gain approach
Automatica (Journal of IFAC)
Semi-global stabilization of linear systems with position and rate-limited actuators
Systems & Control Letters
Robust semi-global stabilization of linear systems with imperfect actuators
Systems & Control Letters
Semi-global stabilization of discrete-time linear systems with position and rate-limited actuators
Systems & Control Letters
Optimal Sampled-Data Control Systems
Optimal Sampled-Data Control Systems
Automatica (Journal of IFAC)
Brief Paper: Global Control of Linear Systems with Saturating Actuators
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
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Low gain feedback refers to a family 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 talk reviews the developments in low gain and low-and-high gain feedback designs. Most of the results mentioned in the talk have appeared in the literature. A few recent results are still under review for publication.