This paper focuses on the tracking control of disturbed nonlinear system with uncertain dead-zone. Firstly, in order to weaken the influence of uncertain dead-zone, smooth inverse dead-zone model is introduced and parameterized to facilitate the control design. Then, prescribed performance function is utilized to force tracking error within decreasing and adjustable boundaries. Further, a robust technology based on the estimation of the upper bound of disturbance is employed, while the parametric adaptive law is designed, which can ensure the asymptotic stability in the presence of unknown dead-zone parameters, unknown system parameters and disturbance. The electro-hydraulic servo system is chosen for application verification, and a corresponding controller is developed based on its model and the design procedure outlined in this paper. The efficacy of the controller is confirmed through comparative simulation.
WangLZhaoDZhangZ, et al. Model-free linear active disturbance rejection output feedback control for electro-hydraulic proportional system with unknown dead-zone. IET Control Theory Appl2021; 15(15): 2081–2094.
2.
FaroukiRTSwettJR. Real-time compensation of backlash positional errors in CNC machines by localized feedrate modulation. Int J Adv Manuf Technol2022; 119(9–10): 5763–5776.
3.
LiDJ. Neural network control for a class of continuous stirred tank reactor process with dead-zone input. Neurocomputing2014; 131: 453–459.
4.
DengWYaoJMaD. Robust adaptive precision motion control of hydraulic actuators with valve dead-zone compensation. ISA Trans2017; 70: 269–278.
5.
ZhangZParkJHZhangK, et al. Adaptive control for a class of nonlinear time-delay systems with dead-zone input. J Franklin Inst2016; 353(17): 4400–4421.
6.
ZongGWangYKarimiHR, et al. Observer-based adaptive neural tracking control for a class of nonlinear systems with prescribed performance and input dead-zone constraints. Neural Netw2022; 147: 126–135.
7.
TaoGKokotovicPV. Adaptive control of plants with unknown dead-zones. IEEE Trans Automat Contr1994; 39(1): 59–68.
8.
ZhouJWenCZhangY. Adaptive output control of nonlinear systems with uncertain dead-zone nonlinearity. IEEE Trans Automat Contr2006; 51(3): 504–511.
9.
LiuZLaiGZhangY, et al. Adaptive fuzzy tracking control of nonlinear time-delay systems with dead-zone output mechanism based on a novel smooth model. IEEE Trans Fuzzy Syst2015; 23(6): 1998–2011.
10.
HelianBMustalahtiPMattilaJ, et al. Adaptive robust pressure control of variable displacement axial piston pumps with a modified reduced-order dynamic model. J Mechatron2022; 87: 102879.
11.
NaJLiYHuangY, et al. Output feedback control of uncertain hydraulic servo systems. IEEE Trans Ind Electron2020; 67(1): 490–500.
12.
YaoJDengWJiaoZ. RISE-based adaptive control of hydraulic systems with asymptotic tracking. IEEE Trans Autom Sci Eng2017; 14(3): 1524–1531.
13.
YaoJJiaoZMaD. Extended-state-observer-based output feedback nonlinear robust control of hydraulic systems with backstepping. IEEE Trans Ind Electron2014; 61(11): 6285–6293.
14.
XuZDengWShenH, et al. Extended-state-observer-based adaptive prescribed performance control for hydraulic systems with full-state constraints. IEEE ASME Trans Mechatron2022; 27(6): 5615–5625.
15.
DongZYaoJMaD. Robust asymptotic tracking control of a chain of integrator nonlinear systems with input constraint and hysteresis nonlinearity. Trans Inst Meas Contr2016; 38(12): 1500–1508.
16.
XuZZhouXDongZ, et al. Observer-based prescribed performance adaptive neural output feedback control for full-state-constrained nonlinear systems with input saturation. Chaos Solitons Fractals2023; 173: 113593.
17.
ZongGWangYNiuB, et al. Event-triggered adaptive NN tracking control for nonlinear systems with asymmetric time-varying output constraints and application to an AUVs. IEEE Trans Vehicular Technol2025; 74(1): 413–424.
18.
QiWLiRZongG, et al. Asynchronous dynamic output feedback control for discrete nonlinear networked semi-Markov jump models with cyber attacks and applications. IEEE Trans Autom Sci Eng2025; 22: 6316–6326.
19.
MaZTongS. Nonlinear filters-based adaptive fuzzy control of strict-feedback nonlinear systems with unknown asymmetric dead-zone output. IEEE Trans Autom Sci Eng2023; 21: 5099–5109.
20.
YangG. State filtered disturbance rejection control. Nonlinear Dyn2024; 113: 6739–6817.
21.
ZhangZXuSZhangB. Asymptotic tracking control of uncertain nonlinear systems with unknown actuator nonlinearity. IEEE Trans Automat Contr2014; 59(5): 1336–1341.
22.
BechlioulisCPRovithakisGA. Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance. IEEE Trans Automat Contr2008; 53(9): 2090–2099.
23.
TheodorakopoulosARovithakisGA. Guaranteeing preselected tracking quality for uncertain strict-feedback systems with dead-zone input nonlinearity and disturbances via low-complexity control. Automatica2015; 54: 135–145.
24.
XuZQiGLiuQ, et al. Output feedback disturbance rejection control for full-state constrained hydraulic systems with guaranteed tracking performance. Appl Math Model2022; 111: 332–348.
25.
XuZSunCHuX, et al. Barrier Lyapunov function-based adaptive output feedback prescribed performance controller for hydraulic systems with uncertainties compensation. IEEE Trans Ind Electron2023; 70(12): 12500–12510.
26.
NaJChenQRenX, et al. Adaptive prescribed performance motion control of servo mechanisms with friction compensation. IEEE Trans Ind Electron2014; 61(1): 486–494.
27.
WangYZongGZhaoX, et al. Adaptive practical fixed-time synchronized tracking control of ASV with prescribed performance. Automatica2024; 166: 111716.
28.
TongSSuiSLiY. Fuzzy adaptive output feedback control of MIMO nonlinear systems with partial tracking errors constrained. IEEE Trans Fuzzy Syst2015; 23(4): 729–742.
29.
WangYZongG. Dynamic event-triggered adaptive fixed-time practical tracking control for nonlinear systems through funnel function. IEEE Trans Autom Sci Eng2025; 22: 7008–7017.
30.
XuZDongZShenH, et al. Adaptive dynamic surface funnel control of hydraulic systems with finite-time prescribed tracking performance. IEEE Trans Autom Sci Eng2025; 22: 9708–9717.
31.
XuHYuDLiuYJ. Observer-based fuzzy adaptive predefined time control for uncertain nonlinear systems with full-state error constraints. IEEE Trans Fuzzy Syst2024; 32(3): 1370–1382.
32.
TangYBoKLuH, et al. Transient acceleration waveform replication of electro-hydraulic systems using convex combined adaptive controller with input shaping technique. ISA Trans2024; 150: 243–261.
33.
DengWZhouHZhouJ, et al. Neural network-based adaptive asymptotic prescribed performance tracking control of hydraulic manipulators. IEEE Trans Syst Man Cybern Syst2023; 53(1): 285–295.
34.
KrsticMKanellakopoulosIKokotovicPV.
Nonlinear and adaptive control design. New York, NY: Wiley, 1995.
35.
TangYBoKShenG, et al. Investigation of Legendre polynomials expanded adaptive controller with inverse compensation for high frequency tracking of electro-hydraulic force systems. Proc IMechE, Part I: J Systems and Control Engineering2024; 40: 1678–3486.
