This article investigates an output feedback based proportional-derivative (PD)-type iterative learning fault-tolerant control approach for a category of uncertain discrete systems subject to actuator faults. To develop the iterative learning control scheme based on the output measurement, the fault system of repetitive nature is equivalently converted into a discrete linear repetitive process. By applying a Lyapunov function, this article establishes new adequate criteria for to ensure the asymptotic stability of the implemented fault-tolerant controller through linear matrix inequality constraints. The precise allocation of the controller gain matrices is also provided. Finally, simulation results of an injection molding process demonstrate the effectiveness and viability of the proposed approach.
MulahuwaishALeducRJ. Fault-tolerant supervisory control with permanent faults. Int J Control2023; 96(4): 823–839.
2.
TuYWangDDingS, et al. A reconfiguration-based fault-tolerant control method for nonlinear uncertain systems. IEEE Trans Autom Control2022; 67(11): 6060–6067.
3.
HaoLZhouL. Fault tolerant control of linear systems with unmatched uncertainties based on integral sliding mode technique. Actuators2022; 11(8): 241.
4.
LvW. Finite time adaptive fault-tolerant control for nonlinear MIMO systems with actuator faults. Int J Control Autom Syst2022; 20(1): 99–108.
ArimotoSKawamuraSMiyazakiF. Bettering operation of robots by learning. J Robot Syst1984; 1(2): 123–140.
7.
ChenJHuaCGuangX. Iterative learning model-free control for networked systems with dual-direction data dropouts and actuator faults. IEEE Trans Neural Networ Learn Syst2020; 32(11): 5232–5240.
8.
FuXZhaoQ. Iterative learning fault-tolerant control for the networked control systems with initial state disturbance. Bull Pol Acad Sci Tech Sci2022; 70(3): 1–14.
9.
HuangYTaoHChenY, et al. Point-to-point iterative learning control with quantised input signal and actuator faults. Int J Control2024; 97(6): 1361–1376.
10.
WangLDongLChenY, et al. Iterative learning control for actuator fault uncertain systems. Symmetry2022; 14(10): 1969.
11.
RiazSLinHAfzalF, et al. Design and implementation of novel LMI-based iterative learning robust nonlinear controller. Complexity2021; 2021: 1–13.
12.
LiHWangSShiH, et al. Iterative learning hybrid robust predictive fault-tolerant control for nonlinear batch processes with partial actuator faults. J Process Control2023; 129: 103054.
13.
TaoHZhouLHaoS, et al. Output feedback based PD-type robust iterative learning control for uncertain spatially interconnected systems. Int J Robust Nonlinear Control2021; 31(12): 5962–5983.
14.
HaoSLiuTPaszkeW, et al. Robust static output feedback based iterative learning control design with a finite-frequency-range two-dimensional specification for batch processes subject to nonrepetitive disturbances. Int J Robust Nonlinear Control2021; 31(12): 5745–5761.
15.
TaoHLiuYYangH. Output information based fault-tolerant iterative learning control for dual-rate sampling process with disturbances and output delay. Math Probl Eng2018; 2018: 1–15.
16.
YuL. An LMI approach to reliable guaranteed cost control of discrete–time systems with actuator failure. Appl Math Comput2005; 162(3): 1325–1331.
17.
KaczorekT. Two-dimensional linear systems. Heidelberg, Berlin, Germany: Springer Berlin Heidelberg, 1985.
18.
BoydSGhaouiLEFeronE, et al. Linear matrix inequalities in system and control theory. Philadelphia, PA: SIAM, 1994.
19.
GuKChenJKharitonovVL. Stability of time-delay systems. Berlin, Germany: Springer Science & Business Media, 2003.
20.
PaszkeWRogersEPatanK. Observer-based iterative learning control design in the repetitive process setting. IFAC-PapersOnLine2017; 50(1): 13390–13395.
21.
LiuTWangXChenJ. Robust PID based indirect-type iterative learning control for batch processes with time-varying uncertainties. J Process Control2014; 24(12): 95–106.
22.
HaoSLiuTGaoF. PI based indirect-type iterative learning control for batch processes with time-varying uncertainties: a 2D FM model based approach. J Process Control2019; 78: 57–67.
23.
SozhaeswariPSakthivelRAbinandhithaR, et al. Hybrid-triggered-based fault-tolerant dissipative control for T-S fuzzy parabolic PDE systems with external disturbances and deception attacks. Commun Nonlinear Sci Numer Simul2024; 130: 107702.
