Delay-dependent observer design and observer-based stabilization of linear neutral delay system

Liang, Xin; Wu, Ziran; Zhang, You; Liang, Jiacheng

doi:10.1109/ccdc.2008.4598108

Cited by 4 publications

(10 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Proof. System (14) is similar to system (2) described in [20]. So, a Lyapunov function can be concluded:…”

Section: Conditions and Design Of Full Order Fault Detction Obsementioning

confidence: 99%

“…Assuming that conditions (i) and (ii) hold true and the condition C E ≠ 0 is satisfied, a particular solution to the fault detection problem in terms of matrix H is given by :

H = E {(CE)}^{+}

where (+) denotes the Moore‐Penrose pseudo‐inverse.…”

Section: Conditions and Design Of Full Order Fault Detction Observermentioning

confidence: 99%

“…

Φ (X) = (\sum_{i = 1}^{n_{r}} χ_{i}) X + X {(\sum_{i = 1}^{n_{r}} χ_{i})}^{T}

and the matrix gain K is given by K = N .Proof System (14) is similar to system (2) described in . So, a Lyapunov function can be concluded:

\begin{matrix} V (e_{t}, t) & = e^{T} (t) Pe (t) + \sum_{i = 2}^{n_{r}} \int_{t - τ_{i}}^{t} e^{T} (s) Se (s) ds \\ + \sum_{i = 2}^{n_{r}} \int_{- τ_{i}}^{0} (\int_{t + α}^{t} ė^{T} (s) Hė (s) ds) dα \\ + \int_{t - τ_{d}}^{t} ė^{T} (s) Hė (s) ds \end{matrix}

□…”

Section: Conditions and Design Of Full Order Fault Detction Observermentioning

confidence: 99%

See 2 more Smart Citations

Unknown Input Fault Detection and Isolation Observer Design for Neutral Systems

Elhsoumi¹,

Ali²,

Harabi³

et al. 2016

Asian Journal of Control

View full text Add to dashboard Cite

This paper deals with actuator fault diagnosis of neutral delayed systems with multiple time delays using an unknown input observer. The main purpose is to design an observer that guarantees the asymptotic stability of the estimate error dynamics and the actuator fault detection. The existence conditions for such an observer are established. The main problem studied in this paper aims at designing observer-based fault detection and isolation. The designed observer enhances the robust diagnosis performance, including rapidity and accuracy, and generates residuals that enjoy perfect decoupling properties among faults. Based on Lyapunov stability theory, the design of the observer is formulated in terms of linear matrix inequalities, and the diagnosis scheme is based on a bank of unknown input observers for residual generation that guarantees fault detection and isolation in the presence of external disturbances. A numerical example is presented to illustrate the efficiency of the proposed approach.Key Words: Neutral system with multiple delays, unknown input observer, fault detection and isolation (FDI), linear matrix inequality (LMI).

show abstract

“…Proof. System (14) is similar to system (2) described in [20]. So, a Lyapunov function can be concluded:…”

Section: Conditions and Design Of Full Order Fault Detction Obsementioning

confidence: 99%

“…Assuming that conditions (i) and (ii) hold true and the condition C E ≠ 0 is satisfied, a particular solution to the fault detection problem in terms of matrix H is given by :

H = E {(CE)}^{+}

where (+) denotes the Moore‐Penrose pseudo‐inverse.…”

Section: Conditions and Design Of Full Order Fault Detction Observermentioning

confidence: 99%

“…

Φ (X) = (\sum_{i = 1}^{n_{r}} χ_{i}) X + X {(\sum_{i = 1}^{n_{r}} χ_{i})}^{T}

and the matrix gain K is given by K = N .Proof System (14) is similar to system (2) described in . So, a Lyapunov function can be concluded:

\begin{matrix} V (e_{t}, t) & = e^{T} (t) Pe (t) + \sum_{i = 2}^{n_{r}} \int_{t - τ_{i}}^{t} e^{T} (s) Se (s) ds \\ + \sum_{i = 2}^{n_{r}} \int_{- τ_{i}}^{0} (\int_{t + α}^{t} ė^{T} (s) Hė (s) ds) dα \\ + \int_{t - τ_{d}}^{t} ė^{T} (s) Hė (s) ds \end{matrix}

□…”

Section: Conditions and Design Of Full Order Fault Detction Observermentioning

confidence: 99%

See 1 more Smart Citation

Unknown Input Fault Detection and Isolation Observer Design for Neutral Systems

Elhsoumi¹,

Ali²,

Harabi³

et al. 2016

Asian Journal of Control

View full text Add to dashboard Cite

show abstract

“…Remark 4. From system (2), if we let h = d and l = 1, we obtain the linear neutral system studied in Liang et al (2008).…”

Section: Synthesis Of the Observer For Delayed Systemsmentioning

confidence: 99%

“…Compared to Liang et al (2008), the number of decision variable of Theorem 2 is 3n 2 + np + 1. This shows that using our approach to design the observer reduces the computational complexity.…”

Section: Synthesis Of the Observer For Delayed Systemsmentioning

confidence: 99%

Functional observer design for T-S fuzzy neutral systems

Esfouna,

Ouahi,

Tissir

2023

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

In this paper, a new fuzzy Functional observer is developed for nonlinear neutral systems. Also, the existence conditions for it are studied. The delay-dependent stability of this observer is guaranteed by the combination of the solution of the Sylvester equation and the Lyapunov–Krasovskii stability approach. The parameters of the studied observer are obtained by solving linear matrix inequalities (LMIs). The performance of the approach developed in this paper is demonstrated at the end of the paper by numerical examples.

show abstract