Stabilization of nonlinear discrete-time dynamic control systems with a parameter and state-dependent coefficients
- Authors: Emel’yanov S.V.1, Danik Y.E.1, Dmitriev M.G.1, Makarov D.A.1
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Affiliations:
- Federal Research Center “Computer Science and Control,”
- Issue: Vol 93, No 1 (2016)
- Pages: 121-123
- Section: Control Theory
- URL: https://journals.rcsi.science/1064-5624/article/view/223437
- DOI: https://doi.org/10.1134/S1064562416010142
- ID: 223437
Cite item
Abstract
A numerical-analytical algorithm for designing nonlinear stabilizing regulators for the class of nonlinear 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. Numerical 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.
About the authors
S. V. Emel’yanov
Federal Research Center “Computer Science and Control,”
Author for correspondence.
Email: emelyanov.stanislav@gmail.com
Russian Federation, pr. 60-letiya Oktyabrya 9, Moscow, 117312
Yu. E. Danik
Federal Research Center “Computer Science and Control,”
Email: emelyanov.stanislav@gmail.com
Russian Federation, pr. 60-letiya Oktyabrya 9, Moscow, 117312
M. G. Dmitriev
Federal Research Center “Computer Science and Control,”
Email: emelyanov.stanislav@gmail.com
Russian Federation, pr. 60-letiya Oktyabrya 9, Moscow, 117312
D. A. Makarov
Federal Research Center “Computer Science and Control,”
Email: emelyanov.stanislav@gmail.com
Russian Federation, pr. 60-letiya Oktyabrya 9, Moscow, 117312