✦ LIBER ✦

Anticipatory approach to design robust iterative learning control for uncertain time-delay systems

✍ Scribed by Deyuan Meng; Yingmin Jia

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 262 KB
Volume: 13
Category: Article
ISSN: 1561-8625
DOI: 10.1002/asjc.241

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This paper is devoted to robust iterative learning control (ILC) design for time‐delay systems (TDS) with uncertainties in both model plant and delay time. An ILC law is considered by using anticipation in time to compensate for the effects of delay, which has three design parameters: the weighting function, the lead time and the learning gain. For iteration‐invariant TDS, it is shown that a necessary and sufficient condition can be obtained for the tracking error to converge for all admissible plant uncertainties. If the uncertainty is considered to be varying randomly from iteration to iteration, resulting in iteration‐varying TDS, then a necessary and sufficient condition can be derived to ensure the convergence of the expected tracking error. For TDS in both cases, it is also shown that the convergence is monotonic in the sense of the ℒ︁~2~‐norm, and the estimated delay is sufficiently anticipatory for the selection of the lead time to achieve the robust ILC design. Simulation results are included to verify the theoretical study.

📜 SIMILAR VOLUMES

Robust adaptive control for uncertain ti

Robust adaptive control for uncertain time-delay systems

✍ Changchun Hua; Xinping Guan; Peng Shi 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 158 KB 👁 2 views

## Abstract The problem of robust stabilization for uncertain dynamic time‐delay systems is considered. Firstly a class of time‐delay systems with uncertainties bounded by high‐order polynomials and unknown coefficients are considered. The corresponding controller is designed by employing adaptive

Robust adaptive sliding mode control for

Robust adaptive sliding mode control for uncertain time-delay systems

✍ Yuanqing Xia; Jie Chen; Guo-Ping Liu; Lin Wang; David Rees 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 174 KB 👁 2 views

## Abstract This paper is devoted to robust adaptive sliding mode control for time‐delay systems with mismatched parametric uncertainties. Sufficient conditions for the existence of linear sliding surfaces are given in terms of linear matrix inequalities, by which the corresponding adaptive reachin

Robust iterative learning control design

Robust iterative learning control design for batch processes with uncertain perturbations and initialization

✍ Jia Shi; Furong Gao; Tie-Jun Wu 📂 Article 📅 2006 🏛 American Institute of Chemical Engineers 🌐 English ⚖ 250 KB 👁 1 views

Robust Digital PI Control for Uncertain

Robust Digital PI Control for Uncertain Time-delay Systems in Process Industry

✍ Liu, Xiang ;Wang, Wenhai ;Sun, Youxian 📂 Article 📅 2008 🏛 Curtin University of Technology 🌐 English ⚖ 296 KB

An LMI approach to output-feedback-guara

An LMI approach to output-feedback-guaranteed cost control for uncertain time-delay systems

✍ Said H. Esfahani; Ian R. Petersen 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 150 KB 👁 2 views

This paper considers the problem of output-feedback-guaranteed cost controller design for uncertain time-delay systems. The uncertainty in the system is assumed to be norm-bounded and time-varying. The time-delay is allowed to enter the state and the measurement equations. A linear quadratic cost fu

Robust learning controller design for MI

Robust learning controller design for MIMO stochastic discrete-time systems: An H∞-based approach

✍ Deyuan Meng; Yingmin Jia; Junping Du; Fashan Yu 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 259 KB 👁 2 views