This paper studies the problem of designing insensitive output-feedback controllers for linear discrete-time systems. The designed controllers are insensitive to additive/multiplicative controller coefficient variations. An LMI-based procedure, which is a sequential linear programming matrix method (SLPMM), is proposed to solve the considered problem which is a nonconvex problem itself. It is worth mentioning that the nonfragile control design method is adopted to obtain an effective solution for accelerating convergence of SLPMM algorithm due to the fact that a good starting point for the iteration is very important.
A Sequential Linear Programming Matrix Method to Insensitive Output Feedback for Linear Discrete-Time Systems
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Contributed by the Dynamic Systems Division of ASME for publication in the Journal of Dynamic Systems, Measurement, and Control. Manuscript received January 20, 2013; final manuscript received September 12, 2013; published online October 15, 2013. Assoc. Editor: Jongeun Choi.
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Guo, X., and Yang, G. (October 15, 2013). "A Sequential Linear Programming Matrix Method to Insensitive Output Feedback for Linear Discrete-Time Systems." ASME. J. Dyn. Sys., Meas., Control. January 2014; 136(1): 014506. https://doi.org/10.1115/1.4025458
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