Optimal linear control in stabilizer design

In this paper we study the behavior of a semi-active suspension witch external vibrations. The mathematical model is proposed coupled to a magneto rheological (MR) damper. The goal of this work is stabilize of the external vibration that affect the comfort and durability an vehicle, to control these vibrations we propose the combination of two control strategies, the optimal linear control and the magneto rheological (MR) damper. The optimal linear control is a linear feedback control problem for nonlinear systems, under the optimal control theory viewpoint We also developed the optimal linear control design with the scope in to reducing the external vibrating of the nonlinear systems in a stable point. Here, we discuss the conditions that allow us to the linear optimal control for this kind of non-linear system.

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On an Optimal Linear Control of a Chaotic Non-Ideal Duffing System

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.138-139.50 ◽

2011 ◽

Vol 138-139 ◽

pp. 50-55 ◽

Cited By ~ 3

Author(s):

Fábio Roverto Chavarette

Keyword(s):

Mathematical Model ◽

Control Strategy ◽

Control Parameter ◽

Chaotic Behavior ◽

Linear Control ◽

Complete Agreement ◽

Duffing System ◽

Rotating Machine ◽

Optimal Linear ◽

Limited Power

In this work, we use a nonlinear control based on Optimal Linear Control. We used as mathematical model a Duffing equation to model a supporting structure for an unbalanced rotating machine with limited power (non-ideal motor). Numerical simulations are performed for a set control parameter (depending on the voltage of the motor, that is, in the static and dynamic characteristic of the motor) The interaction of the non-ideal excitation with the structure may lead to the occurrence of interesting phenomena during the forward passage through the several resonance states of the system. Chaotic behavior is obtained for values of the parameters. Then, the proposed control strategy is applied in order to regulate the chaotic behavior, in order to obtain a periodic orbit and to decrease its amplitude. Both methodologies were used in complete agreement between them. The purpose of the paper is to give suggestions and recommendations to designers and engineers on how to drive this kind of system through resonance.

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On an Optimal Linear Control Applied to a Non-Ideal Load Transportation System, Modeled with Periodic Coefficients

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.52-54.13 ◽

2011 ◽

Vol 52-54 ◽

pp. 13-18 ◽

Cited By ~ 2

Author(s):

Fábio Roverto Chavarette ◽

Nelson José Peruzzi ◽

José Manoel Balthazar ◽

Luciano Barbanti ◽

Berenice Carmargo Damasceno

Keyword(s):

Inverted Pendulum ◽

Equations Of Motion ◽

Periodic Problem ◽

Dc Motor ◽

Transportation System ◽

Linear Control ◽

Governing Equations ◽

Optimal Linear ◽

Load Transportation ◽

The Mathematical Model

In this paper, a load transportation system in platforms or suspended by cables is considered. It is a monorail device and is modelled as an inverted pendulum built on a car driven by a DC motor. The governing equations of motion were derived via Lagrange’s equations. In the mathematical model we consider the interaction between the DC motor and the dynamical system, that is, we have a so-called non-ideal periodic problem. The problem is analysed and we also developed an optimal linear control design to stabilize the problem.

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Optimal Linear Control of Blood Glucose

2009 WRI World Congress on Computer Science and Information Engineering ◽

10.1109/csie.2009.380 ◽

2009 ◽

Author(s):

Anthony Doodnath ◽

Albert Kong ◽

M.K.S. Sastry

Keyword(s):

Blood Glucose ◽

Linear Control ◽

Optimal Linear

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