A linear finite-dimensional plant with rational state-space parameter dependence is controlled using a parameter-dependent controller. The parameters are known to take on values in a unit ball, and are known in real time. The goal of control is to stabilize the parameter-dependent closed-loop system, and provide disturbance/error attenuation as measured in induced l2 norms. The approach taken uses the optimally scaled small-gain theorem, and solves the control synthesis problem by reformulating the existence conditions into a finite-dimensional convex optimization. © 1994.
CITATION STYLE
Packard, A. (1994). Gain scheduling via linear fractional transformations. Systems and Control Letters, 22(2), 79–92. https://doi.org/10.1016/0167-6911(94)90102-3
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