Academician of the RAS S. V. Emel’yanov, Yu. E. Danik, M. G. Dmitriev, and D. A. Makarov
Received August 4, 2015
Abstract—A numerical-analytical algorithm for designing nonlinear stabilizing regulators for the class of non-
linear discrete-time control systems is proposed that significantly reduces computational costs. The resulting
regulator is suboptimal with respect to the constructed quadratic functional with state-dependent coefficients.
The conditions for the stability of the closed-loop system are established, and a stability result is stated. Numer-
ical results are presented showing that the nonlinear regulator designed is superior to the linear one with respect
to both nonlinear and standard time-invariant cost functionals. An example demonstrates that the closed-loop
system is uniformly asymptotically stable.
DOI: 10.1134/S1064562416010142
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