To solve the uncertainties in permanent magnet synchronous motor (PMSM) driven steer-by-wire (SbW) system, a prescribed-performance-control (PPC) based finite-time fuzzy controller is proposed. Specifically, the dynamics of SbW system driven by PMSM is analyzed, and combine PPC technology to transform the tracking error coordinates. Then, the velocity signal is obtained from the sigmoid function-based tracking differentiator by using the position signal. To solve the problem of mismatched disturbance, fuzzy logic system (FLS) are used as a universal approximator to estimate the lumped nonlinear friction and other unknown functions, the boundary of lumped disturbance is estimated by the designed adaptive updating law. By fusing the designed virtual controller and the intermediate control law, the controller needs no precise parameters of system, under which the effect of uncertainty of control gain can be compensated completely. Finally, rigorous theoretical analysis based on the Lyapunov stability theory is provided to demonstrate the finite-time stability of the closed-loop system under consideration. Simulation and experiment results are presented to show the effectiveness of the developed control approach, and some comparisons are given to show the rapid and accurate position tracking control performance.
MortazavizadehSAGhaderiAEbrahimiM, et al. Recent developments in the vehicle steer-by-wire system. IEEE Trans Transp Electrif2020; 6(1): 135–146.
2.
WangWChenXBWangJM. Motor/generator applications in electrified vehicle chassis–a survey. IEEE Trans Transp Electrif2019; 5(3): 584–601.
3.
ArslanMSFukushimaN. Energy optimal control design for steer-by-wire systems and hardware-in-the-loop simulation evaluation. J Dyn Syst Meas Control Trans ASME2015; 137(7): 071005.
4.
HuangCLiangLLiuYH, et al. Robust observer based intermittent forces estimation for driver intervention identification. IEEE Trans Veh Technol2020; 69(4): 3628–3640.
5.
LinFJHungYCRuanKC. An intelligent second-order sliding-mode control for an electric power steering system using a wavelet fuzzy neural network. IEEE Trans Fuzzy Syst2014; 22(6): 1598–1611.
6.
WuJZhangJDNieBC, et al. Adaptive control of PMSM servo system for steering-by-wire system with disturbances observation. IEEE Trans Transp Electrif2022; 8(2): 2015–2028.
7.
MortazavizadehSAEbrahimiMGhaderiA. Fault-tolerant control of steer-by-wire systems under voltage and current sensors faults. Electr Eng2021; 103(1): 407–415.
8.
MortazavizadehSAGhaderiAHajianM, et al. A fault-tolerant steer-by-wire system based on angular position estimation. Electr Eng2021; 103(5): 2403–2414.
9.
ZhangHWangYYZhangGW, et al. Research on LADRC strategy of PMSM for road-sensing simulation based on differential evolution algorithm. J Power Electron2020; 20: 958–970.
10.
RussellHEBGerdesJC. Design of variable vehicle handling characteristics using four-wheel steer-by-wire. IEEE Trans Control Syst Technol2016; 24(5): 1529–1540.
11.
HwangHNamK. Design of a robust rack position controller based on 1-dimensional amesim model of a steer-by-wire system. Int J Automot Technol2020; 21(2): 419–425.
12.
HuangCNaghdyFDuHP. Observer-based fault-tolerant controller for uncertain steer-by-wire systems using the delta operator. IEEE/ASME Trans Mechatron2018; 23(6): 2587–2598.
13.
HuangCNaghdyFDuHP. Fault tolerant sliding mode predictive control for uncertain steer-by-wire system. IEEE Trans Cybern2019; 49(1): 261–272.
14.
SunZZhengJCManZH, et al. Nested adaptive super-twisting sliding mode control design for a vehicle steer-by-wire system. Mech Syst Signal Proc2019; 122: 658–672.
15.
MaBXWangYF. Adaptive output feedback control of steer-by-wire systems with event-triggered communication. IEEE/ASME Trans Mechatron2021; 26(4): 1968–1979.
16.
WangHManZHKongHF, et al. Design and implementation of adaptive terminal sliding-mode control on a steer-by-wire equipped road vehicle. IEEE Trans Ind Electron2016; 63(9): 5774–5785.
17.
WangHKongHFManZH, et al. Sliding mode control for steer-by-wire systems with AC motors in road vehicles. IEEE Trans Ind Electron2014; 61(3): 1596–1611.
18.
WangHManZHShenWX, et al. Robust control for steer-by-wire systems with partially known dynamics. IEEE Trans Ind Inform2014; 10(4): 2003–2015.
19.
ZhangJWangHZhengJC, et al. Adaptive sliding mode-based lateral stability control of steer-by-wire vehicles with experimental validations. IEEE Trans Veh Technol2020; 69(9): 9589–9600.
20.
WuXDZhangMMXuM. Active tracking control for steer-by-wire system with disturbance observer. IEEE Trans Veh Technol2019; 68(6): 5483–5493.
21.
LuoGMaBXWangYF. Event-triggered adaptive fuzzy control for automated vehicle steer-by-wire system with prescribed performance: Theoretical design and experiment implementation. Expert Syst Appl2021; 235(14): 3375–3386.
22.
WangYLWangYFTieM. Hybrid adaptive learning neural network control for steer-by-wire systems via sigmoid tracking differentiator and disturbance observer. Eng Appl Artif Intell2021; 104: 104393.
23.
WangYLWangYF. Discrete-time adaptive neural network control for steer-by-wire systems with disturbance observer. Eng Appl Artif Intell2021; 183: 115395.
24.
WangYLLiuYWangYF. Adaptive discrete-time NN controller design for automobile steer-by-wire systems with angular velocity observer. Proc IMechE, Part D: J Automobile Engineering2023; 237(4): 722–736.
25.
WangHXuZMDoMT, et al. Neural-network-based robust control for steer-by-wire systems with uncertain dynamics. Neural Comput Appl2015; 26: 1575–1586.
26.
MaBXWangYF. Adaptive type-2 fuzzy sliding mode control of steer-by-wire systems with event-triggered communication. Proc IMechE, Part D: J Automobile Engineering2021; 235(9): 2442–2455.
27.
LiuYWangYFWangYL. An observer-based IT2 TSK FLS compensation controller for PMSM servo systems: design and evaluation. Neural Comput Appl2022; 34: 10949–10969.
28.
LiuYWangZZWangYF, et al. Cascade tracking control of servo motor with robust adaptive fuzzy compensation. Inf Sci2021; 569: 450–468.
29.
LiuXDYuHS. Continuous adaptive integral-type sliding mode control based on disturbance observer for PMSM drives. Nonlinear Dyn2021; 104: 1429–1441.
30.
WangYYuHTLiuYL. Speed-current single-loop control with overcurrent protection for PMSM based on time-varying nonlinear disturbance observer. IEEE Trans Ind Electron2022; 69(1): 179–189.
31.
LvZXMaYMLiuJP, et al. Full-state constrained adaptive fuzzy finite-time dynamic surface control for pmsm drive systems. Int J Fuzzy Syst2021; 23(3): 804–815.
32.
YuYDingLSWangW. Finite-time composite adaptive fuzzy control of permanent magnet synchronous motors. Int J Fuzzy Syst2021; 24(1): 135–146.
33.
DingLSWangWYuY. Finite-time adaptive NN control for permanent magnet synchronous motors with full-state constraints. Neurocomputing2021; 449: 435–442.
34.
YangJZLiYXTongSC. Adaptive NN finite-time tracking control for PMSM with full state constraints. Neurocomputing2021; 443: 213–221.
35.
DuHBWenGHChengYY, et al. Design and implementation of bounded finite-time control algorithm for speed regulation of permanent magnet synchronous motor. IEEE Trans Ind Electron2021; 68(3): 2417–2426.
36.
ChangWMTongSC. Adaptive fuzzy tracking control design for permanet magnet synchronous motors with output constraint. Nonlinear Dyn2017; 87: 291–302.
37.
ZirkohiMM. Command filtering-based adaptive control for chaotic permanent magnet synchronous motors considering practical considerations. ISA Trans2021; 114: 120–135.
38.
JiangQLiuJPYuJP, et al. Full state constraints and command filtering-based adaptive fuzzy control for permanent magnet synchronous motor stochastic systems. Inf Sci2021; 567: 298–311.
39.
DaiYCNiSFXuDZ, et al. Disturbance-observer based prescribed-performance fuzzy sliding mode control for PMSM in electric vehicles. Eng Appl Artif Intell2021; 104: 104361.
40.
ZhangJXYangGH. Low-complexity tracking control of strict-feedback systems with unknown control directions. IEEE Trans Autom Control2019; 64(12): 5175–5182.
41.
ZhouQLiHYWangLJ, et al. Prescribed performance observer-based adaptive fuzzy control for nonstrict-feedback stochastic nonlinear systems. IEEE Trans Syst Man Cybern Syst2018; 48(10): 1747–1758.
42.
WangSBNaJRenXM. RISE-based asymptotic prescribed performance tracking control of nonlinear servo mechanisms. IEEE Trans Syst Man Cybern Syst2018; 48(12): 2359–2370.
43.
WangMYangA. Dynamic learning from adaptive neural control of robot manipulators with prescribed performance. IEEE Trans Syst Man Cybern Syst2017; 47(8): 2244–2255.
44.
LiYX. Finite time command filtered adaptive fault tolerant control for a class of uncertain nonlinear systems. Automatica2019; 106: 117–123.
45.
ChenBLinC. Finite-time stabilization-based adaptive fuzzy control design. IEEE Trans Fuzzy Syst2021; 29(8): 2438–2443.
46.
ShaoXLLiuJWangHL. Robust back-stepping output feedback trajectory tracking for quadrotors via extended state observer and sigmoid tracking differentiator. Mech Syst Signal Proc2018; 104: 631–647.
47.
WangLBWangHQLiuXP, et al. Fuzzy finite-time command filtering output feedback control of nonlinear systems. IEEE Trans Fuzzy Syst2022; 30(1): 97–107.
48.
WuJKongQFYangKM, et al. Research on the steering torque control for intelligent vehicles co-driving with the penalty factor of human–machine intervention. IEEE Trans Syst Man Cybern Syst2023; 53(1): 59–70.
