The fixed-time control is researched for the nonlinear system subject to multiple disturbances, which contain an external disturbance with unknown frequency and an unknown bounded disturbance. An adaptive nonlinear disturbance observer is devised to estimate the unknown frequency disturbance generated by an exogenous system. On this foundation, a composite fixed-time control scheme is proposed by combining the control and the fixed-time theory. It guarantees that the expected control performances of system can be achieved under the existence of multiple disturbances. Eventually, the validity of the control scheme is proved via simulation examples.
AhmedNRazaAShahSAA, et al. (2021) Robust composite-disturbance observer based flight control of quadrotor attitude. Journal of Intelligent and Robotic Systems103(1): 11.
2.
ChenCLiLXPengHP, et al. (2019) A new fixed-time stability theorem and its application to the synchronization control of memristive neural networks. Neurocomputing349: 290–300.
3.
ChenMAnaSYPengKX, et al. (2022) Fixed-time bounded H infinity tracking control of a single-joint manipulator system with input saturation. International Journal of Control. Epub ahead of print 28June. DOI: 10.1080/00207179.2022.2091478.
4.
ChenMXiongSXWuQX (2021) Tracking flight control of quadrotor based on disturbance observer. IEEE Transactions on Systems Man Cybernetics-Systems51(30): 1414–1423.
5.
ChenWH (2004) Disturbance observer based control for nonlinear systems. IEEE-ASME Transactions on Mechatronics9(4): 706–710.
6.
DongLWWeiXJHuX, et al. (2020) Elegant antidisturbance fault-tolerant control for stochastic systems with multiple heterogeneous disturbances. International Journal of Robust and Nonlinear Control30(6): 2533–2549.
7.
DuHBZhangJWuD, et al. (2020) Fixed-time attitude stabilization for a rigid spacecraft. ISA Transactions98: 263–270.
8.
GuoZYWangZLiSH (2022) Global finite-time set stabilization of spacecraft attitude with disturbances using second-order sliding mode control. Nonlinear Dynamics108(2): 1305–1318.
9.
HanJZhangHWangY, et al. (2017) Anti-disturbance control for nonlinear system via adaptive disturbance observer. International Journal of Robust and Nonlinear Control27(12): 2121–2144.
10.
HaoSLLiuTZhouB (2019) Anti-disturbance reference mode resilient dynamic output feedback control for turbofan systems. Automatica104: 8–16.
11.
JavaidUDongHY (2021) Disturbance-observer-based attitude control under input nonlinearity. Transactions of the Institute of Measurement and Control43(10): 2358–2367.
12.
KaviarasanBKwonOMParkMJ, et al. (2020) Composite synchronization control for delayed coupling complex dynamical networks via a disturbance observer-based method. Nonlinear Dynamic99(2): 1601–1619.
13.
LiuXLiaoX (2019) Fixed-time control for port-controlled Hamiltonian systems. IEEE Transactions on Automatic Control64(7): 2753–2765.
14.
MishraSKPurwarSKishorN (2016) Design of non-linear controller for ocean wave energy plant. Control Engineering Practice56: 111–122.
15.
PolyakovA (2012) Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Transactions Automatic Control57(8): 2106–2110.
16.
QiSWangHWuH, et al. (2019) Composite antidisturbance control for nonlinear systems via nonlinear disturbance observer and dissipative control. International Journal of Robust and Nonlinear Control29(12): 4056–4068.
17.
QiWHHouYKZongGD, et al. (2021) Finite-time event-triggered control for semi-Markovian switching cyber-physical systems with FDI attacks and applications. IEEE Transactions on Circuits and Systems I: Regular Papers68(6): 2665–2674.
18.
QiWHZhangCZongGD, et al. (2022a) Finite-time stabilization of Markov switching singularly perturbed models. IEEE Transactions on Circuits and Systems II: Express Brief69(8): 3535–3539.
19.
QiWHZongGDAhnCK (2022b) Input-output finite-time asynchronous SMC for nonlinear semi-Markov switching systems with application. IEEE Transactions on Systems Man and Cybernetics-Systems52(8): 5344–5353.
20.
SuHPLuoRZFuJJ, et al. (2021) Fixed time stability of a class of chaotic systems with disturbances by using sliding mode control. ISA Transactions118: 75–82.
21.
WangKLiuXPJingYW (2021) Robust finite-time H-infinity congestion control for a class of AQM network systems. Neural Computing and Applications33(8): 3105–3112.
22.
WeiXJDongLWZhangHF, et al. (2020) Composite anti-disturbance control for stochastic systems with multiple heterogeneous disturbances and input saturation. ISA Transactions100: 436–445.
23.
WeiXJWuZJHamidRK (2016) Disturbance observer-based disturbance attenuation control for a class of stochastic systems. Automatica63: 21–15.
24.
XiongTGuZ (2021) Observer-based adaptive fixed-time formation control for multi-agent systems with unknown uncertainties. Neurocomputing423: 506–517.
25.
XuYHWangCLQiaoJZ, et al. (2022) Robust stabilization for a class of nonlinear positive systems with multiple disturbances. IEEE Transactions on Systems Man Cybernetics-systems52(7): 4611–4622.
26.
YaoJZhangTWangXW, et al. (2019) Control strategy for suppressing the shafting oscillation of the grid-connected DFIG-based wind power generation system. International Transactions on Electrical Energy Systems29(9): e12053.
27.
YaoQJ (2020) Fixed-time trajectory tracking control for unmanned surface vessels in the presence of model uncertainties and external disturbances. International Journal of Control95(5): 1133–1143.
28.
YaoXMLiSHLiXF (2022) Composite adaptive anti-disturbance fault tolerant control of high-speed trains with multiple disturbances. IEEE Transactions on Intelligent Transportation Systems 2321799-(11): 21809.
29.
YaoXMZhangLLZhengWX (2021) Uncertain disturbance rejection and attenuation for semi-Markov jump systems with application to 2-degree-freedom robot arm. IEEE Transactions on Circuits and Systems I: Regular Papers68(9): 3836–3845.
30.
ZhangHFWeiXJKarimiHR, et al. (2018) Anti-disturbance control based on disturbance observer for nonlinear systems with bounded disturbances. Journal of the Franklin Institute-Engineering and Applied Mathematics355(12): 4916–4930.
31.
ZhangHFWeiXJZhangLY, et al. (2017) Disturbance rejection for nonlinear systems with mismatched disturbances based on disturbance observer. Journal of the Franklin Institute-Engineering and Applied Mathematics354(11): 4404–4424.
32.
ZhangLYangJLiSH, et al. (2021) Invariant manifold based output-feedback sliding mode control for systems with mismatched disturbances. IEEE Transactions on Circuits and Systems II: Express Briefs68(3): 933–937.
33.
ZhouB (2020) Finite-time stabilization of linear systems by bounded linear time-varying feedback. Automatica113: 108760.
34.
ZhouCQDaiCYangJ, et al. (2023) Disturbance observer-based tracking control with prescribed performance specifications for a class of nonlinear systems subject to mismatched disturbances. Asian Journal of Control25(1): 359–370.
35.
ZhouLZhangYMaL, et al. (2021) Disturbance-observer based antiwindup control for singularly perturbed switched systems. International Journal of Robust and Nonlinear Control31(14): 6845–6866.
36.
ZhouYSunH (2020) Adaptive static output feedback anti-disturbance quantized control for nonlinear systems with multi-source disturbances. International Journal of Control Automation and Systems18(11): 2890–2897.
37.
ZhuYRZhengYSLiuXW, et al. (2020) Fixed-time stability of positive nonlinear systems. Transactions of the Institute of Measurement and Control42(15): 2951–2955.
38.
ZouAMKumarKDDe RuiteretAHJ (2020) Fixed-time attitude tracking control for rigid spacecraft. Automatica113: 108792.
