Real-Time Nonlinear Parameter Estimation Using the Levenberg–Marquardt Algorithm on Field Programmable Gate Arrays

“…It should be noted that these designs are not the only methods available to design an observer or to estimate a disturbance. For other designs, see [2], [5], [6]- [8], [18], [19]- [21], [23], and [24].…”

Section: Index Terms-disturbancementioning

confidence: 99%

Estimation of Load Disturbance Torque for DC Motor Drive Systems Under Robustness and Sensitivity Consideration

Grignion

Chen

Kar

et al. 2014

IEEE Trans. Ind. Electron.

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This paper presents multiple methods for the design of a robust disturbance torque estimator. The benefit of these designs is that they ensure robust estimation in the presence of model uncertainties and/or noise. It is shown that these estimation schemes can be used to estimate both constant and nearly constant disturbance torques. In order to design the observers, the nominal plant model is expanded to incorporate uncertainties. Various cases for the design of the observer are presented. All of the cases are tested on a real system using varying degrees of model uncertainty to ensure that robust estimation is achieved. The results are validated using an in-line torque sensor and are presented accordingly.

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“…As nonlinearities arise in several contexts (Khalil and Grizzle 2002;Li and Shi 2014;Liang et al 2014a, b;Liu et al 2014;Qin et al 2014;Shawash and Selviah 2013) and represent an unavoidable and meaningful problem, the fault reconstruction for 2-D nonlinear systems is considered. Similarly to (Liu 1998;Wang et al 2013), the nonlinearity is assumed to be Lipschitz.…”

Section: Introductionmentioning

confidence: 99%

Sensor fault reconstruction for a class of 2-D nonlinear systems with application to fault compensation

Zhao

Zhou

Wang

2015

Multidim Syst Sign Process

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This paper considers the problem of sensor fault reconstruction and compensation for a class of two dimensional (2-D) nonlinear systems. The 2-D nonlinear system is described by the Fornasini-Marchesini local state-space second model with Lipschitz nonlinearity. The sensor fault considered in this study could be of arbitrary form and its size can be even unbounded. An integrated fault/state observer is proposed to obtain the asymptotic estimation of sensor faults and system states at the same time. A sufficient condition for the existence of the integrated observer is given in terms of linear matrix inequalities. H ∞ sensor fault estimation/reconstruction is also considered for the 2-D nonlinear system when there are both sensor faults and input disturbances. Based on the estimation of sensor faults, a sensor compensation scheme can be performed by subtracting the fault term from the measurement output, and the existing output feedback controller can run normally without the switchover of sensors or reconfiguration when sensor faults occur. An example is provided to illustrate the effectiveness of the proposed method for both sensor fault reconstruction and compensation.

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Real-Time Nonlinear Parameter Estimation Using the Levenberg–Marquardt Algorithm on Field Programmable Gate Arrays

Cited by 90 publications

References 18 publications

A State-Space EMG Model for the Estimation of Continuous Joint Movements

A State-Space EMG Model for the Estimation of Continuous Joint Movements

Estimation of Load Disturbance Torque for DC Motor Drive Systems Under Robustness and Sensitivity Consideration

Sensor fault reconstruction for a class of 2-D nonlinear systems with application to fault compensation

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