A robust adaptive control scheme for an active mount using a dynamic engine model

Abstract

In this study, a robust adaptive control method is employed for an active engine mount in a six-degree-of-freedom model of the engine on the mounts to improve vibration behavior of the engine. The vibration isolation performance and robustness of the employed robust adaptive controller are compared with a robust and an adaptive control technique. In addition, effectiveness of the robust adaptive control is evaluated in transient conditions (accelerating and gear change conditions). In this regard, a dynamic model for the engine supported by rubber and active mounts and its governing equations are presented. Then, a robust adaptive control, namely the robust Model Reference Adaptive Control (robust MRAC) technique, based on the gradient method with σ-modification, is designed by selecting a proper reference model. Moreover, a robust control, namely the H∞ control scheme and an adaptive control, namely MRAC, are employed for the active mount. Simulation results show that the robust MRAC has a better control performance (in reducing the transmitted force to the chassis) as compared with the H∞ scheme. In addition, in the face of large uncertainties, MRAC may diverge and become unstable. However, the robust MRAC is robust in the presence of large uncertainties. Also, robust MRAC is effective not only in constant engine speeds, but also in transient conditions.

Model of the Secondary Path between the Input Voltage and the Output Force of an Active Engine Mount on the Engine Side

“…where (14) is the structure factor equation, (15) is the dynamics factor of the moving coil actuator, and (16) is the dynamics factor equation of fluid in the inertia track and the dynamics factor equation of the active part of the AEM (or AEM system). k eq,r , k eq,a , and k eq,1 in (17) are the complex stiffness of the main rubber spring, complex stiffness of the moving coil actuator, and volumetric complex stiffness of the main liquid chamber.…”

“…Equations (9) and (15) only show the frequency-dependent characteristic of the elastomeric model. To simulate the secondary path of the AEM with different preloads, the complex stiffness of the main rubber spring, complex stiffness of the moving coil actuator, and volumetric complex stiffness of the main liquid chamber are identified by solving a nonlinear least-square curve fitting according (15). e parameters of complex stiffness k eq,r , k eq,a , and k eq,1 are shown in Table 1.…”

“…Hausberg et al [14] identified the secondary path between the active engine mount and the accelerometer located on the chassis side of the engine mount for the feedforward control. Fakhari et al [15,16] identified the transfer function of the secondary path between the input current of the ARM and the transmitted force on the engine side by curve fitting, which is expressed by the poles and zeros of the transfer function. Identification can be applied to the control strategy, but it is difficult to study the parameter effect on the secondary path over a short time.…”

Accurate Variable Control System for Boom Sprayer Based on Auxiliary Antidrift System

“…In addition, the geographic information technology and higher pressure electrostatic spraying technology are also applied for intelligent spraying. For the control theory, various methods have been proposed to improve the accuracy [15,16], the speed [17,18], and the robustness [19,20].…”

Extended filtered-x-least-mean-squares algorithm for an active control engine mount based on acceleration error signal

“…A new robust model reference adaptive control method has been presented for vibration isolation in the presence of uncertainties. [6][7][8] A combination of adaptive filters and map-based algorithms were developed for improving the tracking behavior during fast engine run-ups in Hausberg et al 9 Darsivan et al 10 investigate using a neurocontroller to reject the disturbance of a plant. A new error-driven minimal controller synthesis (Er-MCSI) adaptive controller has been applied to an active mount with a turbo-diesel engine.…”