Displaying similar documents to “Remarks on the Stabilization Problem for Linear Finite-Dimensional Systems”

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...

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...

Direct design of robustly asymptotically stabilizing hybrid feedback

Rafal Goebel, Andrew R. Teel (2009)

ESAIM: Control, Optimisation and Calculus of Variations

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A direct construction of a stabilizing hybrid feedback that is robust to general measurement error is given for a general nonlinear control system that is asymptotically controllable to a compact set.

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]).

Simultaneous output-feedback stabilization for continuous systems in Banach spaces

Fouad M. AL-Sunni, Frank L. Lewis (1998)

Kybernetika

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A design technique for the stabilization of M linear systems by one constant output-feedback controller is developed. The design equations are functions of the state and the control weighting matrices. An example of the stabilization of an aircraft at different operating points is given.

Global adaptive output-feedback control for switched uncertain nonlinear systems

Zhibao Song, Junyong Zhai, Hui Ye (2017)

Kybernetika

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In this paper, we investigate the problem of global output-feedback regulation for a class of switched nonlinear systems with unknown linear growth condition and uncertain output function. Based on the backstepping method, an adaptive output-feedback controller is designed to guarantee that the state of the switched nonlinear system can be globally regulated to the origin while maintaining global boundedness of the resulting closed-loop switched system under arbitrary switchings. A numerical...