Vibration Control Applied in a Semi-Active Suspension Using Magneto Rheological Damper and Optimal Linear Control Design

Abstract

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.

Control Instability Applied to a Micro Electro Mechanical Actuator System (MEMS)

“…It is optimal, in order to transfer the non-linear system from any initial to final state y(t f )=0 [4], minimizing the functional of the controlled system (4) is globally asymptotically stable. Then we will use the theorem done by [4] and used in [5][6][7][8]. The equation 1 The Fig.…”

“…, then the solution , 0 , 0 ) ( > = t t y of the controlled system (4) is globally asymptotically stable. Then we will use the theorem done by [4] and used in [5][6][7][8]. The equation ( 1) describing the uncontrolled MEMs can be rewritten in the following form ( ) ( )…”

Controle Semi Ativo de Caos em um Sistema de Amortecedor de Massa Sintonizado Acoplado a um Oscilador Linear e a uma Fonte de Excitação Não Ideal

“…A estrutura objeto de estudoé um amortecedor de massa sintonizada [9] acoplado a um motor não ideal [2,8], o qual causa vibrações excessivas ao sistema. Como forma de controlar essa vibraçõesé proposto o controle semi-ativo através da utilização de amortecedores magneto reológico o qual reduz as vibrações do sistema a um ponto estável [3].…”

Chaos Control via State-Dependent Riccati Equation Method Applied a Non-Ideal Vibration Absorber Coupled to a Nonlinear Oscillator

“…Thus there is great interest in reducing vibrations in the system through the use of control techniques [5,6,7].…”