Output feedback regulation of upper triangular nonlinear systems with uncertain time‐varying delays in states and input

Abstract

Summary In this paper, an output feedback controller is studied to regulate a class of upper triangular nonlinear systems with uncertain time‐varying delays. The key features of our considered system are that there are uncertain time‐varying delays in both states and input and the high‐order nonlinearity is in a more relaxed form over the previous results. Theoretical analysis and numerical example are presented to show the benefits of our controller. Copyright © 2017 John Wiley & Sons, Ltd.

Predictor-based control of time-delay systems: a survey

“…In (Zhou & Lin, 2014b), the authors designed control laws for a class of polynomial unstable LPV systems under multiple time-varying input delays. The regulation of feedforward/non-feedforward nonlinear chain of integrators with unknown time-varying input delay was addressed in (Koo & Choi, 2016b, the closed-loop stability could be established as long as the dynamic parameter evolves to a suitable level; the main results of them are extended to the control of delayed triangular nonlinear systems with uncertain/unknown time-varying input delay or/and state delay (Koo & Choi, 2017, 2018Oh & Choi, 2020;Koo & Choi, 2021).…”

H∞ controller design for singular Markov jump systems with time-delays

“…Using the LMI method, delay-dependent stochastic admissibility criteria are given to guarantee the regularity, impulsive free, and stochastic stability of the system. 18 Then, Koo and Choi 19 studied an output feedback controller to regulate a class of upper triangular non-linear systems with uncertain time-varying delays, which include time-varying delays in both states and input. In addition, Senthilkumar et al 20 investigated the delay-dependent robust H ∞ control problem of uncertain stochastic T–S fuzzy systems with time-varying state and input delays, Lakshmanan et al 21 considered the problem of robust stability of neutral systems, and Chang et al 22 investigated the problem of robust static output feedback H ∞ control for linear systems with polytopic uncertainties and non-fragile H ∞ filtering for continuous-time T–S fuzzy systems, 23 respectively.…”

Output feedback regulation of a class of high‐order feedforward nonlinear systems with unknown time‐varying delay in the input under measurement sensitivity

“…The global regulation or stabilization problems for time-delay systems with state or output feedback currently remain as important topics in control field. [1][2][3][4][5][6][7][8][9][10][11][12][13][15][16][17][18]22 In particular, control problems for feedforward systems with delays have been actively studied. [2][3][4]7,9,[14][15][16][17][18] In Reference 17, an adaptive controller with switching logic is proposed to treat uncertain feedforward systems with unknown constant delays.…”

“…In Reference 16, for the time‐varying delays in the nonlinearity and input, the controller based on the constructive Lyapunov Krasovskii functional is proposed in a case of the derivative of the delay being less than 1 and the known upper bounds of delays. In Reference 4, the output feedback controller with a dynamic gain is proposed for nonlinear feedforward systems involving arbitrarily fast‐varying delays in the input, state, and output.…”