Design of unknown input observer with H&lt;inf&gt;∞&lt;/inf&gt; performance for linear time-delay systems

Fu, Yanming; Di, Wu; Zhang, Peng; Duan, Guang‐Ren

doi:10.1016/s1004-4132(06)60104-7

Cited by 7 publications

(3 citation statements)

References 5 publications

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“…Therefore, another solution was to apply optimization techniques such as H ∞ method (Zhong et al, 2003) to make the residual robust as much as possible against disturbances. Consequently, some effective observers have been proposed such as adaptive observers (AOs) (Fazeli and Abedi, 2020; Gao et al, 2022), H ∞ UIOs (Gao et al, 2016; Yanming et al, 2006), and learning observers (LOs) (Jia et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

Adaptive fast smooth super-twisting observer–based robust fault diagnosis for nonlinear systems

Gao

Zhang

2023

Transactions of the Institute of Measurement and Control

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This study investigates the problem of robust fault diagnosis for nonlinear systems subjected to actuator faults and unknown input disturbances. A novel adaptive fast smooth super-twisting observer based on the super-twisting and adaptive dual-layer algorithms is presented, and a robust fault-diagnosis scheme based on an adaptive threshold is proposed to take the estimation error generated by the observer as the residual. In the adaptive fast smooth super-twisting observer, additional fractional powers less than 1 and linear terms are added to improve the smoothness and rapidity of the observer. The finite-time stability of the adaptive fast smooth super-twisting observer is then analyzed based on the Moreno–Lyapunov function algorithm, and rigorous proof confirms that the estimation-error dynamic is robust to unknown input disturbances and can converge to a region of zero in finite time. Finally, simulations of the rigid spacecraft attitude kinematics and dynamics are used to validate the effectiveness of the developed adaptive fast smooth super-twisting observer and the designed robust fault-diagnosis scheme.

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Section: Introductionmentioning

confidence: 99%

Adaptive fast smooth super-twisting observer–based robust fault diagnosis for nonlinear systems

Gao

Zhang

2023

Transactions of the Institute of Measurement and Control

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“…In ref. [14], an H ∞ UIO was designed for linear time‐delay systems with partially decoupled unknown input disturbances. In ref.…”

Section: Introductionmentioning

confidence: 99%

“…To address the problem related to the limits of matching conditions, another solution involves applying optimization techniques such as an H ∞ observer [12] to render the residual as robust as possible against disturbances. A few studies have combined UIOs with the H ∞ performance index to address the problem and design corresponding observers to detect and even estimate faults [13][14][15]. In ref.…”

Section: Introductionmentioning

confidence: 99%

H ₋ / L _∞ UIO‐based actuator and sensor fault diagnosis design in the finite frequency domain for discrete‐time Lipschitz nonlinear systems

Gao

Zhang

2022

IET Control Theory & Appl

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This study investigates the problem of fault diagnosis observer design in the finite frequency domain for discrete-time Lipschitz nonlinear systems simultaneously subjected to actuator and sensor faults and unknown input disturbances. An augmented descriptor system is developed by constructing an augmented state consisting of system states and sensor faults. A novel H − /L ∞ unknown input observer (UIO) is proposed in the finite frequency domain using the generalized Kalman-Yakubovich-Popov lemma to render the residual sensitive to actuator faults and robust against disturbances, which can achieve a better fault diagnosis result compared with existing observers in the full frequency domain. In the fault diagnosis scheme, a time-varying threshold is presented based on the L ∞ performance index to detect actuator faults, and the sensor fault estimation is simultaneously achieved through an asymptotical estimation of the augmented state. Design conditions for the proposed H − /L ∞ UIO are derived and converted into linear matrix inequalities to solve its design matrices together. The effectiveness of the developed H − /L ∞ UIO and the fault diagnosis scheme are validated via simulations of an example of a single-link flexible joint robot.

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H₋/L_∞UIO‐based fault detection and isolation design in finite‐frequency domain for nonlinear systems

Gao,

Zhang,

Jin

et al. 2024

Asian Journal of Control

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The issue of fault detection and isolation design in the finite‐frequency domain for discrete‐time Lipschitz nonlinear systems subjected to actuator faults and disturbances is investigated. A bank of H−/L∞ unknown input observers (UIOs) is established using the generalized observer scheme to generate residuals that are insensitive to a specific actuator fault but sensitive to the other actuator faults. Furthermore, in the finite‐frequency domain, the H− and L∞ performance indices are simultaneously used to improve the fault detection sensitivity and attenuate the influence of disturbances on the residuals, respectively. The design conditions for the bank of H−/L∞ UIOs are derived from the generalized Kalman–Yakubovich–Popov lemma and converted into an optimization problem constrained by linear matrix inequalities to solve the design matrices more easily. To diagnose actuator faults, a fault detection and isolation scheme is established using the time‐varying threshold from the L∞ performance analysis. Finally, the effectiveness of the fault detection and isolation scheme using the bank of H−/L∞ UIOs is validated by the simulation of two examples.

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Design of unknown input observer with H<inf>∞</inf> performance for linear time-delay systems

Cited by 7 publications

References 5 publications

Adaptive fast smooth super-twisting observer–based robust fault diagnosis for nonlinear systems

Adaptive fast smooth super-twisting observer–based robust fault diagnosis for nonlinear systems

H ₋ / L _∞ UIO‐based actuator and sensor fault diagnosis design in the finite frequency domain for discrete‐time Lipschitz nonlinear systems

H₋/L_∞UIO‐based fault detection and isolation design in finite‐frequency domain for nonlinear systems

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Design of unknown input observer with H<inf>∞</inf> performance for linear time-delay systems

Cited by 7 publications

References 5 publications

Adaptive fast smooth super-twisting observer–based robust fault diagnosis for nonlinear systems

Adaptive fast smooth super-twisting observer–based robust fault diagnosis for nonlinear systems

H − / L ∞ UIO‐based actuator and sensor fault diagnosis design in the finite frequency domain for discrete‐time Lipschitz nonlinear systems

H−/L∞UIO‐based fault detection and isolation design in finite‐frequency domain for nonlinear systems

Contact Info

Product

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H ₋ / L _∞ UIO‐based actuator and sensor fault diagnosis design in the finite frequency domain for discrete‐time Lipschitz nonlinear systems

H₋/L_∞UIO‐based fault detection and isolation design in finite‐frequency domain for nonlinear systems