IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n450241.html

Robust Monotonically Convergent Iterative Learning Control for Discrete‐Time Systems via Generalized KYP Lemma

Author

Listed:
  • Jian Ding
  • Huizhong Yang

Abstract

This paper addresses the problem of P‐type iterative learning control for a class of multiple‐input multiple‐output linear discrete‐time systems, whose aim is to develop robust monotonically convergent control law design over a finite frequency range. It is shown that the 2 D iterative learning control processes can be taken as 1 D state space model regardless of relative degree. With the generalized Kalman‐Yakubovich‐Popov lemma applied, it is feasible to describe the monotonically convergent conditions with the help of linear matrix inequality technique and to develop formulas for the control gain matrices design. An extension to robust control law design against systems with structured and polytopic‐type uncertainties is also considered. Two numerical examples are provided to validate the feasibility and effectiveness of the proposed method.

Suggested Citation

  • Jian Ding & Huizhong Yang, 2014. "Robust Monotonically Convergent Iterative Learning Control for Discrete‐Time Systems via Generalized KYP Lemma," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:450241
    DOI: 10.1155/2014/450241
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/450241
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/450241?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Jun Wang & Changfeng Ge & Dong Sun Lee & Michael A. Sek & Vanee Chonhenchob, 2013. "Mathematical Problems in Packaging Engineering," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-2, November.
    2. Xuhui Bu & Fashan Yu & Ziyi Fu & Fuzhong Wang, 2013. "Stability Analysis of High‐Order Iterative Learning Control for a Class of Nonlinear Switched Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Xuhui Bu & Fashan Yu & Ziyi Fu & Fuzhong Wang, 2013. "Stability Analysis of High-Order Iterative Learning Control for a Class of Nonlinear Switched Systems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-13, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bu Xuhui & Wang Hongqi & Zheng Zheng & Qian Wei, 2014. "H∞ Control for Network‐Based 2D Systems with Missing Measurements," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Xuan Yang & Xiaoe Ruan, 2015. "Analysis of Iterative Learning Control for a Class of Linear Discrete‐Time Switched Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    3. Yunfeng Liu & Jidong Suo & Hamid Reza Karimi & Xiaoming Liu, 2014. "A Filtering Algorithm for Maneuvering Target Tracking Based on Smoothing Spline Fitting," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Hong Jiang & Jinlong Gai & Shukuan Zhao & Peggy E. Chaudhry & Sohail S. Chaudhry, 2022. "Applications and development of artificial intelligence system from the perspective of system science: A bibliometric review," Systems Research and Behavioral Science, Wiley Blackwell, vol. 39(3), pages 361-378, May.
    5. Gai-Ge Wang & Lihong Guo & Amir Hossein Gandomi & Amir Hossein Alavi & Hong Duan, 2013. "Simulated Annealing‐Based Krill Herd Algorithm for Global Optimization," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Emilio Jiménez-Macías & Angel Sánchez-Roca & Hipólito Carvajal-Fals & Julio Blanco-Fernández & Eduardo Martínez-Cámara, 2014. "Wavelets Application in Prediction of Friction Stir Welding Parameters of Alloy Joints from Vibroacoustic ANN‐Based Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. Yu-Rong Zeng & Lin Wang & Xian-Hao Xu & Qing-Liang Fu, 2014. "Optimizing the Joint Replenishment and Delivery Scheduling Problem under Fuzzy Environment Using Inverse Weight Fuzzy Nonlinear Programming Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    8. Y. J. F. Kpomahou & A. Adomou & J. A. Adéchinan & A. E. Yamadjako & I. V. Madogni, 2022. "Chaotic Behaviors and Coexisting Attractors in a New Nonlinear Dissipative Parametric Chemical Oscillator," Complexity, John Wiley & Sons, vol. 2022(1).
    9. Mingyong Liu & Zhouhuan Ouyang & Chunai Yan & Jinxi Zhang & Xinguang Han & Xue Xiang, 2023. "A Tribo‐Dynamic Model of a Helical Gear Pair Based on the Finite Line Contact Theory," Mathematical Problems in Engineering, John Wiley & Sons, vol. 2023(1).
    10. Sendren Sheng-Dong Xu, 2014. "Super‐Twisting‐Algorithm‐Based Terminal Sliding Mode Control for a Bioreactor System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    11. Ze Zhang & Hamid Reza Karimi & Hai Huang & Kjell G. Robbersmyr, 2014. "Vibration Control of a Semiactive Vehicle Suspension System Based on Extended State Observer Techniques," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    12. Chien-Sheng Chen & Yi-Jen Chiu & Chin-Tan Lee & Jium-Ming Lin, 2013. "Calculation of Weighted Geometric Dilution of Precision," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    13. Toly Chen, 2013. "Internal Due Date Assignment in a Wafer Fabrication Factory by an Effective Fuzzy‐Neural Approach," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    14. Ryspek Usubamatov & Sarken Kapayeva & Zine El Abiddine Fellah, 2022. "Inertial Forces and Torques Acting on a Spinning Annulus," Advances in Mathematical Physics, Hindawi, vol. 2022, pages 1-10, September.
    15. Wuzhong Tan & Zhibin Zheng & Xueshen Wu & Enming Xiang & Yixiong Yan, 2023. "Analysis of Inherent Characteristics of Two‐Speed Planetary Gear Transmission System," Mathematical Problems in Engineering, John Wiley & Sons, vol. 2023(1).
    16. Shiqing Wang & Limin Su, 2013. "Recovery of High‐Dimensional Sparse Signals via ℓ1‐Minimization," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    17. Vaishnudebi Dutta & Subhomoy Haldar & Prabjot Kaur & Yuvraj Gajpal, 2022. "Comparative Analysis of TOPSIS and TODIM for the Performance Evaluation of Foreign Players in Indian Premier League," Complexity, John Wiley & Sons, vol. 2022(1).
    18. Haiyang Wang & Zhen Wu, 2014. "Convertible Bonds with Higher Loan Rate: Model, Valuation, and Optimal Strategy," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    19. Xiaoli Qiang & Saeed Kosari & Xiang Chen & Ali Asghar Talebi & Ghulam Muhiuddin & Seyed Hossein Sadati, 2022. "A Novel Description of Some Concepts in Interval‐Valued Intuitionistic Fuzzy Graph with an Application," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    20. Di Guo & Xiaobo Qu & Meng Wu & Keshou Wu, 2014. "A Modified Iterative Alternating Direction Minimization Algorithm for Impulse Noise Removal in Images," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:450241. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.