Disturbance observer for uncertain Lipschitz nonlinear systems under multiple time-varying delays

Targui, Boubekeur; Hernández-González, Omar; Astorga‐Zaragoza, C.M.; Guerrero-Sánchez, María-Eusebia; Valencia‐Palomo, Guillermo

doi:10.1007/s40314-022-01773-x

Cited by 3 publications

(2 citation statements)

References 29 publications

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“…Now, using (44) , system (42) can be written in the following form Now from ( 46 ), if one replaces the matrix E of system ( 11 ) by the matrix E¯ and the uncertainty d ( t ) of system ( 11 ), by d¯(t) , then it is easy to see that systems ( 42 ) and ( 11 ) have the same form; thus, the proposed robust observer also work for system ( 42 ) with the presence of a time-varying delay in the output. The problem of long and multiple delays can be addressed as in Targui et al (2022); Ramírez-Rasgado et al (2021).…”

Section: Robust Observer Designmentioning

confidence: 99%

Robust observer for input and state estimation in building structure systems

Galaz-Palma

Targui

Hernández-González

et al. 2022

Journal of Vibration and Control

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This paper develops a robust observer for a class of linear systems subject to unknown signals, uncertainties, and disturbance output measurements for building structure systems. The highlight of the proposed observer is that it mitigates the adverse effects present in physical systems as it happens with the structural systems of buildings. The proposed robust observer provides a simultaneous estimation of building displacements and velocities (state vector) and the seismic force acceleration signal (unknown input) from noisy acceleration measurements of the structure. These estimations can help to reduce the displacements of building structure systems with the aid of a vibration controller. The convergence analysis of the proposed robust observer is based on Lyapunov theory, which resulted in a simple set of Linear Matrix Inequalities. An example considering a two-story building-like structure was performed to illustrate the effectiveness of the proposed observer.

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Section: Robust Observer Designmentioning

confidence: 99%

Robust observer for input and state estimation in building structure systems

Galaz-Palma

Targui

Hernández-González

et al. 2022

Journal of Vibration and Control

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“…Yang et al 19 proposed an H ∞ observer for Lipschitz systems considering time-varying delays. Targui et al 20,21 designed a novel chain observer for nonlinear Lipschitz system, in which output time varying delays are considered. When the delay information can be estimated online, time delay systems can be better handled by using predictive control approaches.…”

Section: Introductionmentioning

confidence: 99%

Robust lateral motion control of distributed drive vehicle considering long input delays

Xie

et al. 2022

Intl J Robust & Nonlinear

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This article presents a comparative study of lateral motion controller design for distributed drive vehicle. Aiming at handling long input delays, two types of robust controllers are specifically investigated. First, a Lyapunov-Krasovskii functional based robust controller design is proposed. Considering input delay, the design conditions of the state-feedback controller are derived in terms of linear matrix inequalities (LMIs), which can be effectively solved using LMI toolbox. Second, based on the same control law, a robust predictive controller design is further presented. However, different from the Lyapunov-Krasovskii functional based robust controller, the control gain of the proposed robust predictive controller is calculated without considering the input delay. An input delay estimator and a predictor are developed instead to reconstruct the delay-dependent state, which is further used to generate a new feedback error. Moreover, the feasibility of this control scheme is theoretically proved. Finally, extensive co-simulations with Carsim and Matlab/Simulink are conducted to compare the performance between these two controllers. Compared with the Lyapunov-Krasovskii functional based robust controller, longer input delay can be handled by using the proposed robust predictive controller.

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