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A new extended LMI-based robust gain scheduled state feedback H 2 controller design

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  • Control Theory and Applications
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Abstract

This paper proposes an improved robust H 2 state feedback control synthesis for the Linear Parameter Varying (LPV) systems by attaining the affine quadratic stability. In place of standard H 2 computation in the literature, a new H 2 computation based on extended Linear Matrix Inequality (LMI) is improved by means of the slack variable, where it is obtained by separation Lyapunov matrix from system matrix. State feedback H 2 synthesis is improved for the systems, and is more effective and less conservative than the common ones in the literature. Therefore, the less conservative results are obtained for gain scheduling controller design for LPV systems. The numerical examples are presented to show the superiority of the proposed controller design.

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Authors and Affiliations

  1. Department of Computer Engineering, Faculty of Engineering, Düzce University, 81620, Düzce, Turkey

    Yusuf Altun

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  1. Yusuf Altun
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Correspondence to Yusuf Altun.

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Recommended by Associate Editor Jun Yoneyama under the direction of Editor Euntai Kim.

Yusuf Altun received his Ph.D. degree in Electrical Engineering from Yıldız Tech- nical University in 2012. His research in- terests include robust control, electrical ve- hicle control, and humanoid robots.

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Altun, Y. A new extended LMI-based robust gain scheduled state feedback H 2 controller design. Int. J. Control Autom. Syst. 15, 967–975 (2017). https://doi.org/10.1007/s12555-016-0053-3

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  • DOI: https://doi.org/10.1007/s12555-016-0053-3

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