In this paper, we study nonlinear robust stabilization of roll channel of a pursuit using the sum of squares (SOS) technique. Roll control is a fundamental part of flight control for every pursuit. A nonlinear state feedback controller is designed based on a new stability criterion which can be viewed as a dual to Lyapunov's second theorem. This criterion has a convexity property, which is used for controller design with convex optimization. Furthermore, using generalized S-procedure lemma robustness of the controller is guaranteed. The performance of the proposed method for roll autopilot is verified via numerical simulations.
Nonlinear Robust Roll Autopilot Design Using Sum-of-Squares Optimization
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received December 4, 2017; final manuscript received May 2, 2018; published online June 4, 2018. Assoc. Editor: Mohammad A. Ayoubi.
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Khesal, S. P., and Mohammadzaman, I. (June 4, 2018). "Nonlinear Robust Roll Autopilot Design Using Sum-of-Squares Optimization." ASME. J. Dyn. Sys., Meas., Control. November 2018; 140(11): 111005. https://doi.org/10.1115/1.4040218
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