This paper investigates the problem of global stabilization by output feedback for linear time-invariant systems. We give first a procedure to design a robust observer for the linear system. Then using this robust observer with the robust state feedback control law developed by Molander and Willems (1980, “Synthesis of State Feedback Control Laws With a Specified Gain and Phase Margin,” IEEE Trans. Autom. Control, 25(5), pp. 928–931), we construct an output feedback which yields a closed loop system with robustness characteristics. That is, we establish a separation principle. Finally, we give sufficient conditions to establish a robust output feedback for linear polytopic systems.
Robust Observer Based Control for Stability of Linear Systems: Application to Polytopic Systems
Faculty of Sciences of Sfax,
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received March 19, 2012; final manuscript received August 19, 2013; published online September 26, 2013. Assoc. Editor: Sergey Nersesov.
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Belguith, M., and Benabdallah, A. (September 26, 2013). "Robust Observer Based Control for Stability of Linear Systems: Application to Polytopic Systems." ASME. J. Dyn. Sys., Meas., Control. January 2014; 136(1): 014504. https://doi.org/10.1115/1.4025268
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