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.
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Hadi Behrouz was born in Marvdasht, Fars, Iran in 1989. He received his M.S. degree in control engineering from the Shiraz University of Technology, Shiraz, Iran, in 2013. He is currently pursuing a Ph.D. degree in control engineering at Malek Ashtar University of Technology, Tehran, Iran. His research interests include robust and multi objective control and LMI optimization.
Iman Mohammadzaman received his Ph.D. degree in control engineering from Tarbiat Modares University, Tehran, Iran, in 2011. Since 2013, he has been an Assistant Professor with the Faculty of Electrical and Computer Engineering, Malek Ashtar University of Technology, Tehran, Iran. His research interests include robust control, nonlinear control, and convex optimization.
Ali Mohammadi received his Ph.D. degree in control engineering from Sharif University of Technology, Tehran, Iran, in 2003. Since 2003, he has been an Assistant Professor with the Faculty of Electrical and Computer Engineering Department, Malek Ashtar University of Technology, Tehran, Iran. His research interests include estimation, signal processing and control of LPV systems.
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Behrouz, H., Mohammadzaman, I. & Mohammadi, A. Robust Static Output Feedback H2/H∞ Control Synthesis with Pole Placement Constraints: An LMI Approach. Int. J. Control Autom. Syst. 19, 241–254 (2021). https://doi.org/10.1007/s12555-019-0290-3
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DOI: https://doi.org/10.1007/s12555-019-0290-3