Abstract
Because the V‐belt continuously variable transmission (CVT) system driven by permanent magnet synchronous motor (PMSM) has much unknown nonlinear and time‐varying characteristics, the better control performance design for the linear control design is a time consuming procedure. In order to overcome difficulties for design of the linear controllers, the hybrid recurrent Laguerre‐orthogonal‐polynomial neural network (NN) control system which has online learning ability to respond to the system’s nonlinear and time‐varying behaviors is proposed to control PMSM servo‐driven V‐belt CVT system under the occurrence of the lumped nonlinear load disturbances. The hybrid recurrent Laguerre‐orthogonal‐polynomial NN control system consists of an inspector control, a recurrent Laguerre‐orthogonal‐polynomial NN control with adaptive law, and a recouped control with estimated law. Moreover, the adaptive law of online parameters in the recurrent Laguerre‐orthogonal‐polynomial NN is derived using the Lyapunov stability theorem. Furthermore, the optimal learning rate of the parameters by means of modified particle swarm optimization (PSO) is proposed to achieve fast convergence. Finally, to show the effectiveness of the proposed control scheme, comparative studies are demonstrated by experimental results.
Highlights
A V-belt continuously variable transmission (CVT) [1,2,3,4,5,6,7,8] is typically composed of two hydraulically, or spring, actuated variable radii pulleys and a chain, or metal pushing, belt
V-belt continuously variable transmission (CVT) system driven by alternating current (AC) motor is yet not shown in any commercial reports so that it provides the research motivation in this study
The hybrid recurrent Laguerre-orthogonal-polynomial neural network (NN) control system has been successfully developed to control the V-belt CVT system driven by permanent magnet synchronous motor (PMSM) with robust control characteristics in this paper
Summary
A V-belt continuously variable transmission (CVT) [1,2,3,4,5,6,7,8] is typically composed of two hydraulically, or spring, actuated variable radii pulleys and a chain, or metal pushing, belt. To launch a vehicle from rest, the input pulley radius will be smaller than the output pulley radius, resulting in a speed reduction and torque multiplication transmitted to the drive shaft. A CVT may operate at a specific speed while changing the pulleys’ radii to achieve torque multiplication, acceleration, and speed as per the vehicle’s velocity, load requirements, engine power, and gear ratios. This operating profile provides the research motivation for CVT dynamics and nonlinear control algorithms. V-belt continuously variable transmission (CVT) system driven by alternating current (AC) motor is yet not shown in any commercial reports so that it provides the research motivation in this study
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