ℓ-Step ahead optimal robust controller for uncertain auto-regressive systems

George Nikolakopoulos, Antonios Tzes

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    In this article, an ℓ-step ahead optimal robust controller for uncertain linear discrete Auto-Regressive (AR) systems is presented. The novelty in the suggested scheme stems from the utilization of a lattice filter for: a) the system's identification, b) calculation of the output uncertainty interval and the computation of the optimal robust control effort. The utilized controller comprises of two parts. The first part, based on the a priori bounds of the lattice filter's reflection coefficients and the operating limits of the reference signal, calculates the set of all feasible predicted output values. The second part consists of an optimal robust controller that minimizes a properly adopted cost function, based on the predicted uncertainty intervals. The scope of the controller is to penalize the variance of the tracking error and the control effort. This computation is recursive over the length of the ℓ-step ahead time window and the number of stages of the lattice filter. Simulation studies are used to prove the efficacy of the proposed controller.

    Original languageEnglish (US)
    Title of host publicationProceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05
    Pages1476-1480
    Number of pages5
    Volume2005
    DOIs
    StatePublished - Dec 1 2005
    Event20th IEEE International Symposium on Intelligent Control, ISIC '05 and the13th Mediterranean Conference on Control and Automation, MED '05 - Limassol, Cyprus
    Duration: Jun 27 2005Jun 29 2005

    Other

    Other20th IEEE International Symposium on Intelligent Control, ISIC '05 and the13th Mediterranean Conference on Control and Automation, MED '05
    CountryCyprus
    CityLimassol
    Period6/27/056/29/05

    Fingerprint

    Controllers
    Robust control
    Cost functions
    Identification (control systems)
    Uncertainty

    ASJC Scopus subject areas

    • Engineering(all)

    Cite this

    Nikolakopoulos, G., & Tzes, A. (2005). ℓ-Step ahead optimal robust controller for uncertain auto-regressive systems. In Proceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05 (Vol. 2005, pp. 1476-1480). [1469800] https://doi.org/10.1109/.2005.1469800

    ℓ-Step ahead optimal robust controller for uncertain auto-regressive systems. / Nikolakopoulos, George; Tzes, Antonios.

    Proceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05. Vol. 2005 2005. p. 1476-1480 1469800.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Nikolakopoulos, G & Tzes, A 2005, ℓ-Step ahead optimal robust controller for uncertain auto-regressive systems. in Proceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05. vol. 2005, 1469800, pp. 1476-1480, 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the13th Mediterranean Conference on Control and Automation, MED '05, Limassol, Cyprus, 6/27/05. https://doi.org/10.1109/.2005.1469800
    Nikolakopoulos G, Tzes A. ℓ-Step ahead optimal robust controller for uncertain auto-regressive systems. In Proceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05. Vol. 2005. 2005. p. 1476-1480. 1469800 https://doi.org/10.1109/.2005.1469800
    Nikolakopoulos, George ; Tzes, Antonios. / ℓ-Step ahead optimal robust controller for uncertain auto-regressive systems. Proceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05. Vol. 2005 2005. pp. 1476-1480
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