Robust Iterative Learning Control in Finite Frequency Ranges for Differential Spatially Interconnected Systems

Robust decentralized iterative learning control for large‐scale interconnected systems described by 2‐D Fornasini–Marchesini systems with iteration‐dependent uncertainties including boundary states, disturbances, and reference trajectory

“…$$$ {A}_{n,1} $$$, $$$ {A}_{n,2} $$$, $$$ {A}_{n,3} $$$, $$$ {B}_n $$$, $$$ {D}_{n,\overline{n}} $$$, and $$$ {C}_n $$$ are unknown and bounded matrices with suitable dimensions. In 2‐D ladder circuits 11 and intelligent traffic system, 23 $$$ {x}_{\overline{n},k}\left(i,j\right) $$$ denote the controlled voltage source or current voltage, and traffic density, respectively. The independent indexes $$$ i $$$ and $$$ j $$$ usually represent space locations and time instants 24 .…”

“…A great many of sophisticate systems in practical industrial processes can be described as the LSIS, such as intelligent traffic system, power system and chemical engineering. In recent years, a large number of research results on LSIS have been reported, mainly involving in adaptive tracking control, 2,3 fault diagnosis control, 4 $$$ {H}_{\infty } $$$ tracking control, 5 event‐triggered output feedback control, 6 iterative learning control (ILC) 1,7‐11 . In Reference 9, for spatially interconnected systems with unknown interconnections between subsystems, a fully decentralized ILC algorithm was proposed for guaranteeing the global asymptotic convergence of the local output errors.…”

“…In recent years, a large number of research results on LSIS have been reported, mainly involving in adaptive tracking control, 2,3 fault diagnosis control, 4 H ∞ tracking control, 5 event-triggered output feedback control, 6 iterative learning control (ILC). 1,[7][8][9][10][11] In Reference 9, for spatially interconnected systems with unknown interconnections between subsystems, a fully decentralized ILC algorithm was proposed for guaranteeing the global asymptotic convergence of the local output errors. A decentralized PD-type ILC controller was designed in Reference 7 for a class of linear continuous LSIS with iteration-dependent uncertainties from initial state.…”

Static Iterative Learning Control Over Finite Frequency Domain for Actuator Failure Uncertain Systems

“…This exploration can significantly expand the potential application scenarios of the algorithm. For example, references [26]- [28] provide insight into how to solve ILC problem by considering stability and robustness performance metrics restricted to a specific frequency range. They proposed an algorithm utilizing the KYP Lemma, which formulates the control strategy as an associated LMI.…”

Robust finite frequency H∞ control for Lipschitz nonlinear systems

“…A robust finite-frequency H ∞ control approach for singularly perturbed Euler-Lagrange systems was proposed in Xu et al (2019). The problem of iterative learning control with performance specifications in finite-frequency ranges for differential spatially interconnected systems was investigated in Tao et al (2020). The work in Wang et al (2020) is concerned with the reliable H ∞ path following control problem for an autonomous ground vehicle in finite-frequency domain.…”