Feedback Control of Negative-Imaginary Systems
Ian R. Petersen,Alexander Lanzon +1 more
TLDR
In this paper, the robustness of positive-position feedback control of flexible structures with colocated force actuators and position sensors is investigated using the theory of negative-imaginary systems, which can be extended to nonlinear systems through the notion of counterclockwise input-output dynamics.Abstract:
This paper investigates the robustness of positive-position feedback control of flexible structures with colocated force actuators and position sensors. In particular, the theory of negative-imaginary systems is used to reveal the robustness properties of multi-input, multi-output (MIMO) positive-position feedback controllers and related types of controllers for flexible structures. The negative-imaginary property of linear systems can be extended to nonlinear systems through the notion of counterclockwise input-output dynamics.read more
Citations
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Robust control of uncertain systems: Classical results and recent developments
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Generalizing Negative Imaginary Systems Theory to Include Free Body Dynamics: Control of Highly Resonant Structures With Free Body Motion
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Advanced motion control for precision mechatronics: control, identification, and learning of complex systems
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References
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Feedback Systems: Input-output Properties
TL;DR: In this paper, the Bellman-Gronwall Lemma has been applied to the small gain theorem in the context of linear systems and convolutional neural networks, and it has been shown that it can be applied to linear systems.
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Positive position feedback control for large space structures
James L. Fanson,T. K. Caughey +1 more
TL;DR: In this paper, a new technique for vibration suppression in large space structures is investigated in laboratory experiments on a thin cantilever beam, which makes use of generalized displacement measurements to accomplish vibration suppression.
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