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A New Extended LMI-based Robust Gain Scheduled State Feedback H2 Controller Design

Yusuf Altun
International Journal of Control, Automation, and Systems, vol. 15, no. 3, pp.967-975, 2017

Abstract : "This paper proposes an improved robust H2 state feedback control synthesis for the Linear Parameter Varying (LPV) systems by attaining the affine quadratic stability. In place of standard H2 computation in the literature, a new H2 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 H2 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."

Keyword : Extended LMI, gain scheduling control, LPV, robust stability, state feedback H2 control.

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