Displaying similar documents to “Direct design of robustly asymptotically stabilizing hybrid feedback”

A reduction principle for global stabilization of nonlinear systems

Rachid Outbib, Gauthier Sallet (1998)

Kybernetika

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The goal of this paper is to propose new sufficient conditions for dynamic stabilization of nonlinear systems. More precisely, we present a reduction principle for the stabilization of systems that are obtained by adding integrators. This represents a generalization of the well-known lemma on integrators (see for instance [BYIS] or [Tsi1]).

Hybrid stabilization of discrete-time LTI systems with two quantized signals

Guisheng Zhai, Yuuki Matsumoto, Xinkai Chen, Joe Imae, Tomoaki Kobayashi (2005)

International Journal of Applied Mathematics and Computer Science

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We consider stabilizing a discrete-time LTI (linear time-invariant) system via state feedback where both the quantized state and control input signals are involved. The system under consideration is stabilizable and stabilizing state feedback has been designed without considering quantization, but the system's stability is not guaranteed due to the quantization effect. For this reason, we propose a hybrid quantized state feedback strategy asymptotically stabilizing the system, where...

Remarks on the Stabilization Problem for Linear Finite-Dimensional Systems

Takao Nambu (2014)

Bulletin of the Polish Academy of Sciences. Mathematics

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The celebrated 1967 pole assignment theory of W. M. Wonham for linear finite-dimensional control systems has been applied to various stabilization problems both of finite and infinite dimension. Besides existing approaches developed so far, we propose a new approach to feedback stabilization of linear systems, which leads to a clearer and more explicit construction of a feedback scheme.

Positive and Negative Feedback in Engineering and Biology

E. S. Zeron (2008)

Mathematical Modelling of Natural Phenomena

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No other concepts have shaken so deeply the bases of engineering like those of positive and negative feedback. They have played a most prominent role in engineering since the beginning of the previous century. The birth certificate of positive feedback can be traced back to a pair of patents by Edwin H. Armstrong in 1914 and 1922, whereas that of negative feedback is already lost in time. We present in this paper a short review on the feedback's origins in the fields of engineering...