Abstract
In this paper, we propose an iterative learning control (ILC) strategy for the continuous-time linear time-invariant (LTI) model with a singular feedthrough term, from input to output. By combining with the linear quadratic analogue tracker (LQAT), the transient performance improvement is achieved through the initial control input, at the 0th iteration, obtained by the LQAT. Initially, we propose the PD-type iterative learning controller together with initial statelearning law, and sufficient condition to guarantee the convergence of tracking error is derived. Thereafter, a novel LQAT, with a high-gain property, for the model under consideration is constructed. The role of LQAT is to obtain first (initial) control input of the ILC scheme. A numerical example illustrates the effectiveness of the proposed strategy.
| Original language | English |
|---|---|
| Pages (from-to) | 4283-4294 |
| Number of pages | 12 |
| Journal | Applied Mathematical Sciences |
| Volume | 6 |
| Issue number | 85-88 |
| Publication status | Published - 2012 Jul 24 |
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All Science Journal Classification (ASJC) codes
- Applied Mathematics
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Iterative learning control for the linear model with a singular feedthrough term via LQAT. / Chen, Chia Hsing; Tsai, Jason Sheng-Hon; Guo, Shu-Mei; Shieh, Leang San.
In: Applied Mathematical Sciences, Vol. 6, No. 85-88, 24.07.2012, p. 4283-4294.Research output: Contribution to journal › Article
TY - JOUR
T1 - Iterative learning control for the linear model with a singular feedthrough term via LQAT
AU - Chen, Chia Hsing
AU - Tsai, Jason Sheng-Hon
AU - Guo, Shu-Mei
AU - Shieh, Leang San
PY - 2012/7/24
Y1 - 2012/7/24
N2 - In this paper, we propose an iterative learning control (ILC) strategy for the continuous-time linear time-invariant (LTI) model with a singular feedthrough term, from input to output. By combining with the linear quadratic analogue tracker (LQAT), the transient performance improvement is achieved through the initial control input, at the 0th iteration, obtained by the LQAT. Initially, we propose the PD-type iterative learning controller together with initial statelearning law, and sufficient condition to guarantee the convergence of tracking error is derived. Thereafter, a novel LQAT, with a high-gain property, for the model under consideration is constructed. The role of LQAT is to obtain first (initial) control input of the ILC scheme. A numerical example illustrates the effectiveness of the proposed strategy.
AB - In this paper, we propose an iterative learning control (ILC) strategy for the continuous-time linear time-invariant (LTI) model with a singular feedthrough term, from input to output. By combining with the linear quadratic analogue tracker (LQAT), the transient performance improvement is achieved through the initial control input, at the 0th iteration, obtained by the LQAT. Initially, we propose the PD-type iterative learning controller together with initial statelearning law, and sufficient condition to guarantee the convergence of tracking error is derived. Thereafter, a novel LQAT, with a high-gain property, for the model under consideration is constructed. The role of LQAT is to obtain first (initial) control input of the ILC scheme. A numerical example illustrates the effectiveness of the proposed strategy.
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M3 - Article
VL - 6
SP - 4283
EP - 4294
JO - Applied Mathematical Sciences
JF - Applied Mathematical Sciences
SN - 1312-885X
IS - 85-88
ER -