# Theoretical Foundations of Optimal Two-Step Control of Suspension Stiffness of Transport Vehicle in Oscillation Cycle

• K. V. Chernyshov
• I. M. Ryabov
• A. V. Pozdeev
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

## Abstract

The article dwells upon the issues of control over suspension stiffness of transport vehicle in the oscillation cycle. This article describes the methods of stiffness change for suspension and identifies two principal schemes of two-step stiffness change for the suspension: a suspension with constant step stiffness and a suspension with variable step stiffness. Mathematical models of suspensions with a two-step stiffness control in a single-mass oscillating system were developed for each of the two principal schemes of stiffness control. Having employed the maximum principle of L. S. Pontriagin, the algorithms for the optimal suspension stiffness control were determined. In particular, it was found that, when the oscillating system is unbalanced with the subsequent absence of the external force and kinematic action, any stiffness switching, even chaotic one, results in a decrease in the motion amplitudes of the sprung mass and oscillation damping. The optimal control algorithm in case of kinematic disturbance of the oscillating system is an algorithm at which the activation of a suspension step with a higher stiffness occurs during the change in the direction of suspension deformation, and the system switches to the lower stiffness during the change in the direction of the sprung mass motion.

## Keywords

Vehicle suspension Vibration isolation Algorithm Constant stiffness Variable stiffness Two-step control Springing element Additional volume

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© Springer Nature Switzerland AG 2019

## Authors and Affiliations

• K. V. Chernyshov
• 1
• I. M. Ryabov
• 1
• A. V. Pozdeev
• 1
Email author