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- Title
Stabilization of nonlinear discrete-time dynamic control systems with a parameter and state-dependent coefficients.
- Authors
Emel'yanov, S.; Danik, Yu.; Dmitriev, M.; Makarov, D.
- 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.
- Subjects
NONLINEAR control theory; COEFFICIENTS (Statistics); NUMERICAL analysis; ALGORITHMS; REGULATORS (Mathematics); ALGEBRAIC fields
- Publication
Doklady Mathematics, 2016, Vol 93, Issue 1, p121
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562416010142