Journal of Jilin University(Engineering and Technology Edition) ›› 2023, Vol. 53 ›› Issue (7): 2127-2135.doi: 10.13229/j.cnki.jdxbgxb.20210988

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Continuous non-singular terminal sliding mode control of electronic throttle

Yan-min WANG(),Wei-qi ZHANG,Guang-xin DUAN,Yang GE   

  1. School of Electrical Engineering and Automation,Harbin Institute of Technology,Harbin 150001,China
  • Received:2021-09-30 Online:2023-07-01 Published:2023-07-20

Abstract:

In order to solve the problems of the chattering and signal derivation for the traditional sliding mode control(SMC) approach, a novel continuous non-singular terminal sliding approach is proposed to realize the angle control of electronic throttles(ET). Based on the mathematical model of the ET system, its control performance is improved in the aspect of sliding surface and control law. During the design of the sliding surface, the finite-time convergence can be achieved by introducing the power index terms concerning the system states. Meanwhile, it removes the constraint condition of the controller parameter for the traditional SMC approach. During the design of the control law, a continuous control law can be achieved by introducing the low pass filtering in the premise of the system stability. Meanwhile, it solves the problem of signal derivation of system states. Comparative study and simulations with the traditional first-order SM and second-order SM proves the superiorities of the proposed approach in chattering elimination, fast response and control accuracy.

Key words: control engineering, electronic throttle, sliding mode control(SMC), stability, control singularity

CLC Number: 

  • TP273

Fig.1

Block diagram of ET control system"

Table 1

Measurement parameters of ET system"

参数单位最小值最大值
θ0rad0.1130.113
kdN·m·s/rad0.8×10-43.7×10-4
kmN·m0.56×10-10.95×10-1
kkN·m0.97×10-40.43×10-3
keV·s/rad0.5×10-50.2×10-1
ksN·m /rad0.247×10-10.687×10-1
RΩ2.82.8
LH0.9×10-30.9×10-3
Jmkg·m20.5×10-41.6×10-4
Jthkg·m20.9×10-54.6×10-5
N-1818

Fig.2

Range of design parameters r11 and r21"

Fig.3

Range of design parameters r12 and r22"

Table 2

Performance comparisons of ET system understep signal"

控制

策略

四次阶跃信号下

响应时间/s

转角开度稳态误差/(°)电压振荡最大幅值/V
1234
C?NTSM0.150.180.170.180.0030.8
1?SM0.230.320.350.320.0067.1
2?SM0.180.280.250.210.0181.8

Fig.4

Performance comparisons of ET systemunder step signals"

Table 3

Tracking performance comparisons ofET system"

控制策略响应时间/s

转角开度稳态

误差/(°)

稳态电压振荡

最大幅值/V

C?NTSM0.190.0020.02
1?SM0.200.0111.10
2?SM0.250.0287.00

Fig.5

Tracking performance comparisons of three approaches for ET system"

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