[PDF][PDF] Singular perturbations and time scales in control theories and applications: An overview 2002–2012

Y Zhang, DS Naidu, C Cai, Y Zou - Int. J. Inf. Syst. Sci, 2014 - d.umn.edu
This paper presents an overview of singular perturbations and time scales (SPaTS) in
control theory and applications during the period 2002-2012. The previous …

[PDF][PDF] Singular perturbations and time scales in control theory and applications: an overview

D Naidu - Dynamics of Continuous Discrete and Impulsive …, 2002 - researchgate.net
A basic problem in the control system theory is the mathematical modeling of a physical
system. The modeling of many systems calls for high-order dynamic equations. The …

Nonperiodic Multirate Sampled-Data Fuzzy Control of Singularly Perturbed Nonlinear Systems

J Xu, Y Niu, HK Lam - IEEE Transactions on Fuzzy Systems, 2023 - ieeexplore.ieee.org
Choosing adequate sampling frequencies in sensors has a considerably positive impact on
the two time scale fuzzy logic controller design. Motivated by this concept, this article …

[PDF][PDF] Discrete singularly perturbed control problems (a survey)

GA Kurina, MG Dmitriev, DS Naidu - … Contin. Discrete Impuls. Syst. Ser. B …, 2017 - d.umn.edu
1 Introduction Page 1 Dynamics of Continuous, Discrete and Impulsive Systems Series B:
Applications & Algorithms 24 (2017) 335-370 Copyright c 2017 Watam Press DISCRETE …

Stability bounds of singularly perturbed discrete systems

THS Li, JS Chiou, FC Kung - IEEE Transactions on Automatic …, 1999 - ieeexplore.ieee.org
The authors propose a systematic approach to determine the exact stability bound of
singularly perturbed discrete time systems. By combining three conditions of the critical …

Stabilization bound of discrete two-time-scale systems

THS Li, JH Li - Systems & Control Letters, 1992 - Elsevier
In this paper, the exact ϵ-bound problem in various types of discrete two-time-scale (TTS)
system is considered. A set of stability criteria based on the frequency domain …

Optimal control of a particular class of singularly perturbed nonlinear discrete-time systems

R Bouyekhf, A El Hami… - IEEE Transactions on …, 2001 - ieeexplore.ieee.org
This note studies a class of discrete-time nonlinear systems which depend on a small
parameter. Using the singular perturbation theory in a systematic way, we give a trajectory …

Функционально устойчивые системы управления: асимптотические методы синтеза

СА Дубовик, АА Кабанов - 2019 - elibrary.ru
Монография посвящена применению асимптотических методов для создания
функционально устойчивых систем управления. Рассматриваются также задачи …

Antiwindup Finite-Time Attitude Control for a Quadrotor System: Multistage Semiimplicit Euler Implementation

J Xu, W Song, D Zhang, Y Tang - IEEE/ASME Transactions on …, 2025 - ieeexplore.ieee.org
In this work, the multistage semiimplicit Euler digital implementation is proposed for a
switched antiwindup super-twisting control (AWSTC) to achieve the precise and robust …

Discretization schemes for nonlinear singularly perturbed systems

JP Barbot, S Monaco, D Normand-Cyrot… - [1991] Proceedings of …, 1991 - ieeexplore.ieee.org
The authors study the effect of slow and fast sampling and analyze the structure of the
resulting sampled models in the case of nonlinear singularly perturbed systems. Using …