Title :
Guaranteed non-quadratic performance for quantum systems with nonlinear uncertainties
Author :
Petersen, Ian R.
Author_Institution :
Sch. of Eng. & Inf. Technol., Univ. of New South Wales, Canberra, ACT, Australia
Abstract :
This paper presents a robust performance analysis result for a class of uncertain quantum systems containing sector bounded nonlinearities arising from perturbations to the system Hamiltonian. An LMI condition is given for calculating a guaranteed upper bound on a non-quadratic cost function. This result is illustrated with an example involving a Josephson junction in an electromagnetic cavity.
Keywords :
control nonlinearities; discrete systems; linear matrix inequalities; uncertain systems; Josephson junction; LMI condition; electromagnetic cavity; guaranteed nonquadratic performance; nonlinear uncertainties; nonquadratic cost function; quantum system; robust performance analysis; system Hamiltonian; uncertain quantum system; Cavity resonators; Cost function; Couplings; Josephson junctions; Robust stability; Robustness; Vectors; Nonlinear systems; Quantum control; Uncertain systems;
Conference_Titel :
American Control Conference (ACC), 2014
Conference_Location :
Portland, OR
Print_ISBN :
978-1-4799-3272-6
DOI :
10.1109/ACC.2014.6858903
