Abstract
An alternative procedure for the implementation of fractional-order compensators is presented in this work. The employment of a curve-fitting-based approximation technique for the approximation of the compensator transfer function offers improved accuracy compared to the Oustaloup and Padé methods. As a design example, a lead compensator intended for usage in car suspension systems is realized. The open-loop and closed-loop behavior of the system is evaluated by post-layout simulation results obtained using the Cadence IC design suite and the Metal Oxide Semiconductor (MOS) transistor models provided by the Austria Mikro Systeme 0.35 m Complementary Metal Oxide Semiconductor (CMOS) process. The derived results verify the efficient performance of the introduced implementation.
Highlights
The objective of a car suspension system is to provide both road holding/handling and ride quality, which are at odds with each other
The passive system is generally composed of a stiffness-damping system and can only achieve either good ride comfort or good road holding, as the parameters cannot be changed with the external excitation—a fact that limits the vehicle’s performance
An active suspension system possesses the ability to reduce the acceleration of the sprung mass continuously as well as to minimize suspension deflection, which results in an improvement of the tire grip with the road surface
Summary
The objective of a car suspension system is to provide both road holding/handling and ride quality, which are at odds with each other. The suspension system is responsible for maintaining stability between vehicle position shifts during driving in order to achieve good ride control. The selection of appropriate controller parameters in order to achieve the good performance of the suspension system is a very important task in the development of Fractal Fract. Lead compensators [11] push the open-loop poles to the left, and they give a more stable system with a fast response They increase the phase margin and, thanks to the existence of the pole, high frequencies which are mostly corrupted by noise are less amplified. As the achieved stability is an important feature for the car suspension system, a fractional-order lead-lag compensator can be a more advantageous option for the control stage, due to the additional degree of freedom it provides.
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