What is it about?

The paper considers obtaining the control law, based on a Linear Quadratic Regulator (LQR), of a semi-active suspension of a vehicle represented in the vertical plane – so-called “Half car model”. The basic circumstance for the suspension synthesis is the simultaneous realization of the requirements for the vehicle’s ride comfort and its road holding as a factor for the vehicle's stability. The first requirement is related to the reducing of the acceleration transmitted to the sprung mass and driver, and as generally imposes one soft suspension. The second is related to the reducing of the dynamic component of the normal forces of interaction between the tires and road pavement and as generally, imposes a more hard suspension. Furthermore, those requirements are changing in some frequency diapasons of the excitations, arisen from the road unevenness. The possibilities of the passive implementation of the vehicle's suspension, for the obtaining of a sufficiently good compromise, are limited. The using of the semi-active controllable dampers gives considerably more possibilities in this direction. In this first part of the paper is given the dynamic model of the system and are obtained all needed for control law synthesis characteristics.

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Why is it important?

It is obtained the dynamical model of the system=

Perspectives

This publication is used for second part of the publication where is proposed the new approach for the synthesis of the LQR, in particular, it's weighted matrixes based on the game theory.

Julian Genov
Technical University of Sofia

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This page is a summary of: A linear quadratic regulator synthesis for a semi-active vehicle suspension part 1 - Modeling of the dynamical system, January 2019, American Institute of Physics,
DOI: 10.1063/1.5133609.
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