Abstract
In this paper the power of using sensitivity theory together with the linear optimal regulator theory for the design of robust fixed state feedback for plants with non-infinitesimal parameter variations is discussed. The plant model is assumed to be given by a family of r state equations due to r sets of values of the parameters under consideration. In order to meet the requirements of robustness with respect to the given finite parameter variations, a fixed insensitive linear quadratic optimal regulator is designed by modification of the Q matrix in the performance index J, such that a certain compromise between an L2 norm of the trajectory sensitivity vector and J is obtained. As nominal model of the plant a fictive state equation containing averaged values of the parameters is used. It is shown that a constant output feedback for the attitude control of an aircraft F4E can be found so that the pole locations in preassigned regions are maintained for the extreme flight conditions under consideration.
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© 1984 D. Reidel Publishing Company, Dordrecht, Holland
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Verde, C., Frank, P.M. (1984). Sensitivity Reduction of the Linear Quadratic Optimal Regulator. In: Tzafestas, S.G. (eds) Multivariable Control. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6478-5_16
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DOI: https://doi.org/10.1007/978-94-009-6478-5_16
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