Interval observer approach to output stabilization of time-varying input delay systems

2013 ◽  
Author(s):  
Andrey Polyakov ◽  
Denis Efimov ◽  
Wilfrid Perruquetti ◽  
Jean-Pierre Richard
Keyword(s):  
Input Delay ◽  
Delay Systems ◽  
Time Varying ◽  
Output Stabilization ◽  
Interval Observer

scholarly journals Output stabilization of time-varying input delay systems using interval observation technique

Automatica ◽  
2013 ◽  
Vol 49 (11) ◽  
pp. 3402-3410 ◽  
Author(s):  
Andrey Polyakov ◽  
Denis Efimov ◽  
Wilfrid Perruquetti ◽  
Jean-Pierre Richard
Keyword(s):  
Input Delay ◽  
Delay Systems ◽  
Time Varying ◽  
Output Stabilization

Predictor-based stabilization of discrete time-varying input-delay systems

Automatica ◽  
2012 ◽  
Vol 48 (2) ◽  
pp. 454-457 ◽  
Author(s):  
A. Gonzalez ◽  
A. Sala ◽  
P. Albertos
Keyword(s):  
Discrete Time ◽  
Input Delay ◽  
Delay Systems ◽  
Time Varying

scholarly journals Input–output linearization of non-linear time-varying delay systems: the single-input single-output case

2019 ◽  
Vol 37 (3) ◽  
pp. 831-854
Author(s):  
Ihab Haidar ◽  
Florentina Nicolau ◽  
Jean-Pierre Barbot ◽  
Woihida Aggoune
Keyword(s):  
Linear Time ◽  
Sufficient Conditions ◽  
Delay Systems ◽  
Time Varying ◽  
Input Output ◽  
Time Varying Delay ◽  
Output Stabilization ◽  
Non Linear ◽  
Varying Delay ◽  
Input Output Linearization

Abstract This paper deals with the input–output linearization of non-linear time-varying delay systems. We introduce an extension of the Lie derivative for time-varying delay systems and derive sufficient conditions for the existence of a causal and bounded non-linear feedback linearizing the input–output behaviour of the system. Sufficient conditions ensuring the internal stability after output stabilization are also presented. Finally, several examples illustrating our main results are discussed.

Functional interval observers for nonlinear fractional-order systems with time-varying delays and disturbances

2020 ◽  
pp. 095965182094582
Author(s):  
Dao Thi Hai Yen ◽  
Dinh Cong Huong
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Design Method ◽  
Delay Systems ◽  
Time Varying ◽  
Time Delay Systems ◽  
Fractional Order Systems ◽  
Integer Order ◽  
Interval Observer ◽  
Interval Observers

This article considers the estimation problem for a class of uncertain fractional-order systems with time-varying delays and disturbances, in which the time-varying delays are present in the state, while the disturbances are present in the output. A new design method of functional interval observers is proposed. In contrast to interval observers currently available in the literature, which dealt with integer-order systems or fractional-order systems without time delays, the functional interval observers with fractional-order [Formula: see text] in this article can deal with fractional-order time-delay systems and integer-order time-delay systems (when [Formula: see text]). Existence conditions of functional interval observers for non-linear fractional-order systems with time-varying delays are established and they are formulated in terms of linear programmings. Two algorithms are provided for determining the functional interval observers. Illustrative examples of the functional interval observer application are presented.

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