Robust sensor faults estimation with H∞ performance for Lipschitz uncertain nonlinear systems

Zemzemi, Ammar; Kamel, Mohamed S.; Toumi, Ahmed

doi:10.1109/sta.2015.7505114

Cited by 6 publications

(4 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Lemma 2. Zemzemi et al (2015) Suppose X and Y are vectors or matrices with suitable dimensions, then for any positive μ > 0 , we have…”

Section: Resultsmentioning

confidence: 99%

Observer-based guaranteed cost control for networked control systems with packet dropout and nonlinear disturbance

Wei

et al. 2022

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

In this article, the observer-based guaranteed cost control method is investigated for the networked control systems (NCSs) with packet dropout and nonlinear disturbance involving event-triggered mechanism (ETM). The packet dropout processes, which appear in both the sensor-to-controller and the controller-to-actuator links, are represented by two mutually independent Bernoulli distributions, and the nonlinear disturbance is supposed to satisfy the Lipschitz condition. Since the systems states are unmeasurable, a state observer is designed to estimate the values of system state. The sufficient condition for the stability of the closed-loop system is addressed by applying the Lyapunov theorem, and a guaranteed cost controller is obtained based on the stability condition with the satisfaction of some given specified value of cost function. Furthermore, the controller design issue can be formulated as a convex optimization problem that is addressed by the linear matrix inequality (LMI) technique using the cone complementarity linearization algorithm. Finally, the availability of above method is proved by a simulation example.

show abstract

“…Lemma 2. Zemzemi et al (2015) Suppose X and Y are vectors or matrices with suitable dimensions, then for any positive μ > 0 , we have…”

Section: Resultsmentioning

confidence: 99%

Observer-based guaranteed cost control for networked control systems with packet dropout and nonlinear disturbance

Wei

et al. 2022

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

show abstract

“…The results are presented in the form of Linear Matrix Inequality (LMI) with the H ∞ performance. The formulation of the conditions of the LMI as well as the H ∞ performances [17] make it possible to ensure the convergence of the estimation error and to attenuate the impact of the derivation of the sensor faults as illustrated in Figs. 4, 8 and 9.…”

Section: Results Discussionmentioning

confidence: 99%

Design of multiobserver for nonlinear systems represented by fuzzy T–S models with sensor faults

Hichri

Ayadi

2020

SN Appl. Sci.

View full text Add to dashboard Cite

This paper deals with the estimation of sensor faults for nonlinear systems represented by a Takagi-Sugeno (T-S) fuzzy model. The basic idea is to introduce an augmented state vector which groups together the states of the fuzzy T-S model and the sensor faults. In order to ensure the robustness of the proposed multiobserver and guarantee the convergence conditions, analysis and stability study are based on the candidate Lyapunov function and the formulation of Linear Matrix Inequality (LMI). The impact of the derivation of sensor faults has been attenuated using the H ∞ performance in the proposed multiobserver. To illustrate the validation of this observer, an academic example will be introduced in this work.

show abstract

“…The presence of a sensor fault gives an inaccurate and an ineffective control signal. To overcome such important problems, several approaches have been proposed in order to preserve the performances of these faulty systems (Dong et al, 2017;Jmal et al, 2017;Li et al, 2017;Yang et al, 2015aYang et al, , 2015bYin et al, 2017;Zemzemi et al, 2015).…”

Section: Introductionmentioning

confidence: 99%

Robust integral-observer-based fault estimation for Lipschitz nonlinear systems with time-varying uncertainties

Zemzemi

Kamel

Toumi

et al. 2018

Transactions of the Institute of Measurement and Control

Self Cite

View full text Add to dashboard Cite

This paper addresses the problem of state estimation and sensor fault reconstruction conjointly for a class of nonlinear systems with time-varying uncertainties for which the nonlinear characteristic satisfies the Lipschitz circumstance. A hybrid approach based on an integral observer and sliding-mode theory has been proposed in order to model sensor fault as a virtual actuator one. For the augmented model, the observer matching condition is not satisfied. To overcome this problem, a new method, which improves the design approach and enhances the rapidity of the fault estimation convergence, has been proposed. The fault estimation error effect is minimized by integrating the H ∞ disturbance attenuation level. The proposed design is formulated and derived as a linear matrix inequality problem. Parameters of this observer are calculated through the linear matrix inequality technique. The proposed method has been validated through an example of a single-link manipulator robot. Simulation results show that this approach can estimate the state and the sensor fault successfully, despite the time-varying uncertainties and the presence of unknown inputs.

show abstract

Robust sensor faults estimation with H∞ performance for Lipschitz uncertain nonlinear systems

Cited by 6 publications

References 13 publications

Observer-based guaranteed cost control for networked control systems with packet dropout and nonlinear disturbance

Observer-based guaranteed cost control for networked control systems with packet dropout and nonlinear disturbance

Design of multiobserver for nonlinear systems represented by fuzzy T–S models with sensor faults

Robust integral-observer-based fault estimation for Lipschitz nonlinear systems with time-varying uncertainties

Contact Info

Product

Resources

About