Adaptive non-predictor control of lower triangular uncertain nonlinear systems with an unknown time-varying delay in the input

2017 ◽  
Vol 49 (1) ◽  
pp. 124-131
Author(s):  
Min-Sung Koo ◽  
Ho-Lim Choi
Keyword(s):  
Nonlinear Systems ◽  
Time Varying ◽  
Uncertain Nonlinear Systems ◽  
Time Varying Delay ◽  
Lower Triangular ◽  
Varying Delay

Robust multiobserver design for discrete uncertain nonlinear systems with time-varying delay

2016 ◽  
Vol 40 (1) ◽  
pp. 191-201 ◽  
Author(s):  
Samah Ben Atia ◽  
Anis Messaoud ◽  
Ridha Ben Abdennour
Keyword(s):  
Nonlinear Systems ◽  
Sufficient Conditions ◽  
Operating Regime ◽  
Linear Matrix ◽  
Time Varying ◽  
Uncertain Nonlinear Systems ◽  
Time Varying Delay ◽  
Partial Models ◽  
Delay Dependent ◽  
Varying Delay

In this paper, a robust multiobserver is proposed for the state estimation of discrete-time uncertain nonlinear systems with time-varying delay. The designed multiobserver is based on the decoupled multimodel approach. Unlike the classically used multimodel structures, the decoupled multimodel provides a flexibility of modelling. Indeed, the partial models’ structures can be adapted to the complexity of the system in each operating regime, thus the partial models can be with different dimensions. Delay-dependent sufficient conditions for the synthesis of a robust multiobserver against norm-bounded parametric uncertainties and in the presence of measurement noise are established in terms of linear matrix inequalities. A simulation example is given to illustrate the effectiveness of the designed multiobserver.

Exponential Tracking Control for a Class of Uncertain Nonlinear Systems With Time-Varying Delay Arguments and Deadzone Nonlinearities

1997 ◽  
Vol 119 (4) ◽  
pp. 825-830 ◽  
Author(s):  
Yeong-Jeu Sun ◽  
Jer-Guang Hsieh
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
Time Varying ◽  
Uncertain Nonlinear Systems ◽  
Exponential Rate ◽  
Tracking Problem ◽  
Controlled System ◽  
Time Varying Delay ◽  
Exponential Rate Of Convergence ◽  
Varying Delay

In this paper, the tracking problem for a class of uncertain nonlinear systems with time-varying delay arguments and deadzone nonlinearities is considered. A feedback control is proposed such that the states of the feedback-controlled system track the desired trajectories with any prespecified exponential rate of convergence. A numerical example is provided to illustrate the use of our main result.

scholarly journals Finite-Time Stability of Uncertain Nonlinear Systems with Time-Varying Delay

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Jingting Hu ◽  
Guixia Sui ◽  
Shengli Du ◽  
Xiaodi Li
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Delay Systems ◽  
Time Varying ◽  
Uncertain Nonlinear Systems ◽  
Time Stability ◽  
External Disturbances ◽  
Finite Time Stability ◽  
Time Varying Delay ◽  
Varying Delay

The problem of finite-time stability for a class of uncertain nonlinear systems with time-varying delay and external disturbances is investigated. By using the Lyapunov stability theory, sufficient conditions for the existence of finite-time state feedback controller for this class of systems are derived. The results can be applied to finite-time stability problems of linear time-delay systems with parameter uncertainties and external disturbances. Finally, two numerical examples are given to demonstrate the effectiveness of the obtained theoretical results.

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