Abstract
Our interest in suppression of harmonic disturbances arose in the development of feedback control strategies for next generation aircraft. The control objective is to track a prescribed trajectory while suppressing the disturbance produced by a harmonic exogenous system. This is a slight modification of the standard problem of output regulation, in which the reference trajectory itself is also assumed to be generated by an exosystem. As part of an on going research effort, we are developing a solution to the problem for a nonlinear system which incorporates both the rigid body dynamics and certain aerodynamic states. In this paper, we illustrate our use of the internal model principle to solve this problem for continuous-time linear systems. Interestingly, the internal model based controller design leads to a Linear Matrix Inequlaity (LMI) constraint on the design parameters, yielding a convex problem which is easily solved.
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Byrnes, C.I., Gilliam, D.S., Isidori, A., Ikeda, Y., Marconi, L. (2003). Internal Model Based Design for the Suppression of Harmonic Disturbances. In: Rantzer, A., Byrnes, C.I. (eds) Directions in Mathematical Systems Theory and Optimization. Lecture Notes in Control and Information Sciences, vol 286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36106-5_5
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DOI: https://doi.org/10.1007/3-540-36106-5_5
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