For time-varying constraints in nonlinear systems with unmeasured states, a finite-time fuzzy tracking control strategy is constructed. A state observer based on fuzzy logic systems (FLS) is applied to not only approximate the unknown nonlinear functions, but also estimate the unmeasured states in the system. In numerous real-world facilities, state constraints are commonly encountered, which is a crucial factor resulting in system instability. In the construction of an adaptive controller, barrier Lyapunov functions (BLFs) are adopted to handle full-state constraints, and assure that every system state remains within the specified constraints. According to finite-time stability, the stability of the closed-loop system is assured, and the output is well driven to achieve the desired tracking effect in finite-time. Finally, the validity of this approach is proved by simulations of a direct-current (DC) motor system and a typical nonlinear system, the continuous stirred tank reactor (CSTR).
DingCDingSZhengWX, et al. (2024) Adaptive SOSM control for nonlinear systems with parametric uncertainties and time-varying asymmetric output constraints. IEEE Transactions on Automation Science and Engineering21(4): 5639–5652.
2.
DuPLiangHZhaoS, et al. (2021) Neural-based decentralized adaptive finite-time control for nonlinear large-scale systems with time-varying output constraints. IEEE Transactions on Systems, Man, and Cybernetics: Systems51(5): 3136–3147.
3.
GaoTLiuYJLiD, et al. (2021) Adaptive neural control using tangent time-varying BLFs for a class of uncertain stochastic nonlinear systems with full state constraints. IEEE Transactions on Cybernetics51(4): 1943–1953.
4.
GuoCXieRXieXJ (2021) Adaptive control of full-state constrained high-order nonlinear systems with time-varying powers. IEEE Transactions on Systems, Man, and Cybernetics: Systems51(8): 5189–5197.
5.
GuoXZhangHSunJ, et al. (2023) Fixed-time fuzzy adaptive control of manipulator systems under multiple constraints: a modified dynamic surface control approach. IEEE Transactions on Systems, Man, and Cybernetics: Systems53(4): 2522–2532.
6.
HanJLiuXWeiX, et al. (2022) A dynamic proportional-integral observer-based nonlinear fault-tolerant controller design for nonlinear system with partially unknown dynamic. IEEE Transactions on Systems, Man, and Cybernetics: Systems52(8): 5092–5104.
7.
JinXLiYXTongS (2021) Adaptive event-triggered control design for nonlinear systems with full state constraints. IEEE Transactions on Fuzzy Systems29(12): 3803–3811.
8.
LanJLiuYJLiuL, et al. (2021) Adaptive output feedback tracking control for a class of nonlinear time-varying state constrained systems with fuzzy dead-zone input. IEEE Transactions on Fuzzy Systems29(7): 1841–1852.
9.
LiYX (2019) Finite time command filtered adaptive fault tolerant control for a class of uncertain nonlinear systems. Automatica106: 117–123.
10.
LiDJLiDP (2015) Adaptive controller design-based neural networks for output constraint continuous stirred tank reactor. Neurocomputing153: 159–163.
11.
LiYYLiYX (2024) Dynamic event-triggered adaptive fuzzy asymptotic tracking of constrained nonlinear systems with applications. Journal of Vibration and Control. DOI: 10.1177/10775463241273046.
12.
LiKTongSC (2019) Observer-based finite-time fuzzy adaptive control for MIMO non-strict feedback nonlinear systems with errors constraint. Neurocomputing341: 135–148.
13.
LiDJWangDLiuL, et al. (2021) Adaptive finite-time tracking control for continuous stirred tank reactor with time-varying output constraint. IEEE Transactions on Systems, Man, and Cybernetics: Systems51(9): 5929–5934.
14.
LiDPHanHGQiaoJF (2022) Observer-based adaptive fuzzy control for nonlinear state-constrained systems without involving feasibility conditions. IEEE Transactions on Cybernetics52(11): 11724–11733.
15.
LiYFanYLiK, et al. (2022) Adaptive optimized backstepping control-based RL algorithm for stochastic nonlinear systems with state constraints and its application. IEEE Transactions on Cybernetics52(10): 10542–10555.
16.
LiDPHanHGQiaoJF (2024) Composite boundary structure-based tracking control for nonlinear state-dependent constrained systems. IEEE Transactions on Automatic Control69(8): 5686–5693.
17.
LiangXGeSS (2023) Zone barrier Lyapunov functions for state constrained systems. IEEE Transactions on Instrumentation and Measurement72: 1–11.
18.
LiangHJZhouYMaH, et al. (2019) Adaptive distributed observer approach for cooperative containment control of nonidentical networks. IEEE Transactions on Systems, Man, and Cybernetics: Systems49(2): 299–307.
19.
LiuYJTongSLiDJ, et al. (2016) Fuzzy adaptive control with state observer for a class of nonlinear discrete-time systems with input constraint. IEEE Transactions on Fuzzy Systems24(5): 1147–1158.
20.
LiuLLiuYJTongS (2019) Neural networks-based adaptive finite-time fault-tolerant control for a class of strict-feedback switched nonlinear systems. IEEE Transactions on Cybernetics49(7): 2536–2545.
21.
LiuLGaoTLiuYJ, et al. (2021) Time-varying IBLF based on adaptive control of uncertain nonlinear systems with full state constraints. Automatica129: 109595.
22.
LiuYJGongMLiuL, et al. (2021) Fuzzy observer constraint based on adaptive control for uncertain nonlinear MIMO systems with time-varying state constraints. IEEE Transactions on Cybernetics51(3): 1380–1389.
23.
LiuYJZhaoWLiuL, et al. (2023) Adaptive neural network control for a class of nonlinear systems with function constraints on states. IEEE Transactions on Neural Networks and Learning Systems34(6): 2732–2741.
24.
MinHXuSFeiS, et al. (2022) Observer-based NN control for nonlinear systems with full-state constraints and external disturbances. IEEE Transactions on Neural Networks and Learning Systems33(9): 4322–4331.
25.
NguyenCMZemoucheATrinhH (2022) Observer-based control design for nonlinear systems with unknown delays. IEEE Transactions on Circuits and Systems II: Express Briefs69(3): 1327–1331.
26.
SunJYiJPuZ (2022) Fixed-time adaptive fuzzy control for uncertain nonstrict-feedback systems with time-varying constraints and input saturations. IEEE Transactions on Fuzzy Systems30(4): 1114–1128.
27.
SunZYLiJJWenC, et al. (2024) Adaptive event-triggered prescribed-time stabilization of uncertain nonlinear systems with asymmetric time-varying output constraint. IEEE Transactions on Automatic Control69(8): 5454–5461.
28.
TeeKPRenBGeSS (2011) Control of nonlinear systems with time-varying output constraints. Automatica47(11): 2511–2516.
29.
TongSCLiYM (2009) Observer-based fuzzy adaptive control for strict-feedback nonlinear systems. Fuzzy Sets and Systems160(12): 1749–1764.
30.
TongSCMinXLiY (2020) Observer-based adaptive fuzzy tracking control for strict-feedback nonlinear systems with unknown control gain functions. IEEE Transactions on Cybernetics50(9): 3903–3913.
31.
WangHXuKLiuPX, et al. (2021) Adaptive fuzzy fast finite-time dynamic surface tracking control for nonlinear systems. IEEE Transactions on Circuits and Systems I: Regular Papers68(10): 4337–4348.
32.
WangYLiDLiuL (2022) IBLF-based adaptive finite-time control and modeling for continuous stirred tank reactor with output constraint. Journal of the Franklin Institute359(16): 8669–8686.
33.
WangXZhaoXNiuB, et al. (2025) Adaptive fault tolerant tracking control for output constrained nonlinear systems using a novel BLF method. IEEE Transactions on Systems, Man, and Cybernetics: Systems55(4): 2590–2598.
34.
WeiWZhangW (2022) Command-filter-based adaptive fuzzy finite-time output feedback control for state-constrained nonlinear systems with input saturation. IEEE Transactions on Fuzzy Systems30(10): 4044–4056.
35.
WeiWZhangTZhangW (2023) Event-triggered finite-time adaptive practical tracking control for time-varying state-constrained nonlinear systems. IEEE Transactions on Fuzzy Systems31(5): 1580–1592.
36.
WeiWZhangTZhangW (2025) Composite disturbance observer-based adaptive fuzzy predefined-time control for nontriangular state-constrained nonlinear systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems55(3): 1771–1783.
37.
WuYXieXJ (2021) Robust adaptive control for state-constrained nonlinear systems with input saturation and unknown control direction. IEEE Transactions on Systems, Man, and Cybernetics: Systems51(2): 1192–1202.
38.
WuLBParkJHXieXP, et al. (2021) Adaptive fuzzy tracking control for a class of uncertain switched nonlinear systems with full-state constraints and input saturations. IEEE Transactions on Cybernetics51(12): 6054–6065.
39.
WuFBZhangJXLiSB, et al. (2023) Neural adaptive finite-time dynamic surface control for the PMSM system with time delays and asymmetric time-varying output constraint. Journal of Vibration and Control29(23-24): 5649–5666.
40.
XieRGuoCXieXJ (2022) Asymptotic tracking control of state-constrained nonlinear systems with time-varying powers. IEEE Transactions on Cybernetics52(5): 4073–4078.
41.
XuBWangXShouY, et al. (2022) Finite-time robust intelligent control of strict-feedback nonlinear systems with flight dynamics application. IEEE Transactions on Neural Networks and Learning Systems33(11): 6173–6182.
42.
XuZSunCLiuQ (2023) Output-feedback prescribed performance control for the full-state constrained nonlinear systems and its application to DC motor system. IEEE Transactions on Systems, Man, and Cybernetics: Systems53(7): 3898–3907.
43.
YaoYHYuanJXChenT, et al. (2024) Adaptive neural control for a class of random nonlinear Markov jump multi-agent systems with full state constraints. Journal of Vibration and Control. DOI: 10.1177/10775463241299477.
44.
YouZWangF (2022) Adaptive fast finite-time fuzzy control of stochastic nonlinear systems. IEEE Transactions on Fuzzy Systems30(7): 2279–2288.
45.
ZhangJJiangWGeSS (2023) Adaptive fuzzy control for uncertain strict-feedback nonlinear systems with full-state constraints using disturbance observer. IEEE Transactions on Systems, Man, and Cybernetics: Systems53(10): 6145–6156.
46.
ZhangYGuoJXiangZ (2023) Finite-time adaptive neural control for a class of nonlinear systems with asymmetric time-varying full-state constraints. IEEE Transactions on Neural Networks and Learning Systems34(12): 10154–10163.
47.
ZhouZZhangMLiuH, et al. (2024) Fixed-time safe-by-design control for uncertain active vehicle suspension systems with nonlinear reference dynamics. IEEE/ASME Transactions on Mechatronics29(5): 3348–3359.
