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Robust Static Output Feedback H2=H∞ Control Synthesis with Pole Placement Constraints: An LMI Approach

Hadi Behrouz, Iman Mohammadzaman*, and Ali Mohammadi
International Journal of Control, Automation, and Systems, vol. 19, no. 1, pp.241-254, 2021

Abstract : This paper studies the robust static output feedback (SOF) problem considering pole placement constraints for linear systems with polytopic uncertainty as well as linear parameter varying (LPV) systems. New linear matrix inequality (LMI) approaches are proposed for the SOF controller design while the pole placement, H2, and H∞ constraints are guaranteed. In addition, the gain-scheduled SOF controller will be designed for LPV systems if system parameters are measured. The proposed methods can be applied to general linear systems without imposing any constraints on system matrices. The performance and effectiveness of the proposed methods are shown using two examples.

Keyword : Gain-scheduled controller, linear parameter dependent system, pole placement constraint, robust static output feedback.

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