An iterative learning control law for dynamical systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
On Iterative Learning Control of parabolic distributed parameter systems
MED '09 Proceedings of the 2009 17th Mediterranean Conference on Control and Automation
Brief paper: An LMI approach to H∞ boundary control of semilinear parabolic and hyperbolic systems
Automatica (Journal of IFAC)
Multidimensional Systems and Signal Processing
Robust adaptive boundary control of a flexible marine riser with vessel dynamics
Automatica (Journal of IFAC)
Some recent applications of distributed parameter systems theory-A survey
Automatica (Journal of IFAC)
Brief An iterative learning algorithm for boundary control of a stretched moving string
Automatica (Journal of IFAC)
Brief Iterative learning control with initial rectifying action
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Hi-index | 22.14 |
In this paper, a D-type anticipatory iterative learning control (ILC) scheme is applied to the boundary control of a class of inhomogeneous heat equations, where the heat flux at one side is the control input while the temperature measurement at the other side is the control output. By transforming the inhomogeneous heat equation into its integral form and exploiting the properties of the embedded Jacobi Theta functions, the learning convergence of ILC is guaranteed through rigorous analysis, without any simplification or discretization of the 3D dynamics in the time, space as well as iteration domains. The adopted ILC scheme makes full use of the process repetition and deals with state-independent or state-dependent uncertainties. Meanwhile, due to the feedforward characteristic of ILC, the proposed scheme not only makes anticipatory compensation possible to overcome the heat conduction delay in boundary output tracking, but also eliminates the gain margin limitation encountered in feedback control. In the end, an illustrative example is presented to demonstrate the performance of the proposed ILC scheme.