The Experts below are selected from a list of 258 Experts worldwide ranked by ideXlab platform
M.b. Zaremba - One of the best experts on this subject based on the ideXlab platform.
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Robust iterative learning control design is straightforward for uncertain LTI systems satisfying the robust performance condition
IEEE Transactions on Automatic Control, 2003Co-Authors: A. Tayebi, M.b. ZarembaAbstract:This note demonstrates that the design of a robust iterative learning control is straightforward for uncertain linear time-invariant systems satisfying the robust performance condition. It is shown that once a controller is designed to satisfy the well-known robust performance condition, a convergent updating rule involving the performance weighting function can be directly obtained. It is also shown that for a particular choice of this weighting function, one can achieve a perfect tracking. In the case where this choice is not allowable, a sufficient condition ensuring that the Least Upper Bound of the /spl Lscr//sub 2/-norm of the final tracking error is less than the Least Upper Bound of the /spl Lscr//sub 2/-norm of the initial tracking error is provided. This sufficient condition also guarantees that the infinity-norm of the final tracking error is less than the infinity-norm of the initial tracking error.
A. Tayebi - One of the best experts on this subject based on the ideXlab platform.
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Robust iterative learning control design is straightforward for uncertain LTI systems satisfying the robust performance condition
IEEE Transactions on Automatic Control, 2003Co-Authors: A. Tayebi, M.b. ZarembaAbstract:This note demonstrates that the design of a robust iterative learning control is straightforward for uncertain linear time-invariant systems satisfying the robust performance condition. It is shown that once a controller is designed to satisfy the well-known robust performance condition, a convergent updating rule involving the performance weighting function can be directly obtained. It is also shown that for a particular choice of this weighting function, one can achieve a perfect tracking. In the case where this choice is not allowable, a sufficient condition ensuring that the Least Upper Bound of the /spl Lscr//sub 2/-norm of the final tracking error is less than the Least Upper Bound of the /spl Lscr//sub 2/-norm of the initial tracking error is provided. This sufficient condition also guarantees that the infinity-norm of the final tracking error is less than the infinity-norm of the initial tracking error.
Jung Rae Ryoo - One of the best experts on this subject based on the ideXlab platform.
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Robust Stability Condition and Analysis on Steady-State Tracking Errors of Repetitive Control Systems
International Journal of Control Automation and Systems, 2008Co-Authors: Jung Rae RyooAbstract:This paper shows that design of a robustly stable repetitive control system is equivalent to that of a feedback control system for an uncertain linear time-invariant system satisfying the well-known robust performance condition. Once a feedback controller is designed to satisfy the robust performance condition, the feedback controller and the repetitive controller using the performance weighting function robustly stabilizes the repetitive control system. It is also shown that we can obtain a steady-state tracking error described in a simple form without time-delay element if the robust stability condition is satisfied for the repetitive control system. Moreover, using this result, a sufficient condition is provided, which ensures that the Least Upper Bound of the steady-state tracking error generated by the repetitive control system is less than or equal to the Least Upper Bound of the steady-state tracking error only by the feedback system.
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Robust Stability Condition of Repetitive Control Systems and Analysis on Steady-State Tracking Errors
2006 SICE-ICASE International Joint Conference, 2006Co-Authors: Jung Rae RyooAbstract:This paper shows that design of a robustly stable repetitive control system is equivalent to that of a feedback control system for an uncertain linear time-invariant system satisfying the well-known robust performance condition. Once a feedback controller is designed to satisfy the robust performance condition, the feedback controller and the repetitive controller using the performance weighting function robustly stabilizes the repetitive control system. It is also shown that we can obtain a steady-state tracking error described in a simple form without time-delay element if the robust stability condition is satisfied for the repetitive control system. Moreover, using this result, a sufficient condition is provided, which ensures that the Least Upper Bound of the steady-state tracking error generated by the repetitive control system is less than or equal to the Least Upper Bound of the steady-state tracking error only by the feedback system
Fashan Yu - One of the best experts on this subject based on the ideXlab platform.
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CDC - Frequency-domain approach to robust iterative learning controller design for uncertain time-delay systems
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009Co-Authors: Deyuan Meng, Junping Du, Fashan YuAbstract:This paper deals with the robust iterative learning control (ILC) for time-delay systems (TDS) with both model and delay uncertainties. An ILC algorithm with anticipation in time is considered, and a frequency-domain approach to its design is presented. It shows that a necessary and sufficient convergence condition can be provided in terms of three design parameters: the lead time, the learning gain, and the performance weighting function. In particular, if the lead time is chosen as just the delay estimate, then the convergence condition is derived independent of the delay and the uncertainties. In this case, with the selection of the performance weighting function, the perfect tracking can be achieved, or the Least Upper Bound of the ℒ 2 -norm of the limit tracking error can be guaranteed less than the Least Upper Bound of the ℒ 2 -norm of the initial tracking error.
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Frequency-domain approach to robust iterative learning controller design for uncertain time-delay systems
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009Co-Authors: Deyuan Meng, Junping Du, Fashan YuAbstract:This paper deals with the robust iterative learning control (ILC) for time-delay systems (TDS) with both model and delay uncertainties. An ILC algorithm with anticipation in time is considered, and a frequency-domain approach to its design is presented. It shows that a necessary and sufficient convergence condition can be provided in terms of three design parameters: the lead time, the learning gain, and the performance weighting function. In particular, if the lead time is chosen as just the delay estimate, then the convergence condition is derived independent of the delay and the uncertainties. In this case, with the selection of the performance weighting function, the perfect tracking can be achieved, or the Least Upper Bound of the ¿2-norm of the limit tracking error can be guaranteed less than the Least Upper Bound of the ¿2-norm of the initial tracking error.
Robert J Betts - One of the best experts on this subject based on the ideXlab platform.
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how to find the Least Upper Bound on the van der waerden number w r k that is some integer power of the coloring integer r
arXiv: Discrete Mathematics, 2015Co-Authors: Robert J BettsAbstract:What is a Least integer Upper Bound on van der Waerden number $W(r, k)$ among the powers of the integer $r$? We show how this can be found by expanding the integer $W(r, k)$ into powers of $r$. Doing this enables us to find both a Least Upper Bound and a greatest lower Bound on $W(r, k)$ that are some powers of $r$ and where the greatest lower Bound is equal to or smaller than $W(r, k)$. A finite series expansion of each $W(r, k)$ into integer powers of $r$ then helps us to find also a greatest real lower Bound on any $k$ for which a conjecture posed by R. Graham is true, following immediately as a particular case of the overall result.
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How to find the Least Upper Bound on the van der Waerden Number $W(r, k)$ that is some integer Power of the coloring Integer $r$.
arXiv: Discrete Mathematics, 2015Co-Authors: Robert J BettsAbstract:What is a Least integer Upper Bound on van der Waerden number $W(r, k)$ among the powers of the integer $r$? We show how this can be found by expanding the integer $W(r, k)$ into powers of $r$. Doing this enables us to find both a Least Upper Bound and a greatest lower Bound on $W(r, k)$ that are some powers of $r$ and where the greatest lower Bound is equal to or smaller than $W(r, k)$. A finite series expansion of each $W(r, k)$ into integer powers of $r$ then helps us to find also a greatest real lower Bound on any $k$ for which a conjecture posed by R. Graham is true, following immediately as a particular case of the overall result.