PB
P. Braun
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1
Journal article
(2022)
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P. Braun, G. Giordano, C. M. Kellett, L. Zaccarian
Starting from a symmetric state-feedback solution ensuring α-exponential
convergence in an ellipsoidal sublevel set, with asymmetric saturation
and single-input linear plants, we propose a novel asymmetric scheduled
extension preserving the original symmetric solution in that sublevel
set and extending the guaranteed stability region to the union of all
possible contractive ellipsoids centered at a shifted equilibrium. Our
design being based on the solution of a parametric optimization problem,
we prove Lipschitz properties of the ensuing feedback law and we
compute its explicit state-feedback expression.
...
Starting from a symmetric state-feedback solution ensuring α-exponential convergence in an ellipsoidal sublevel set, with asymmetric saturation and single-input linear plants, we propose a novel asymmetric scheduled extension preserving the original symmetric solution in that sublevel set and extending the guaranteed stability region to the union of all possible contractive ellipsoids centered at a shifted equilibrium. Our design being based on the solution of a parametric optimization problem, we prove Lipschitz properties of the ensuing feedback law and we compute its explicit state-feedback expression.