Fault Tolerant Control for a Class of Nonlinear Systems with Application to Near Space Vehicle

Xu, Yan; Jiang, Bin; Tao, Gang; Gao, Zhifeng

doi:10.1007/s00034-010-9239-8

Cited by 74 publications

(50 citation statements)

References 19 publications

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“…And each of those operating points is observable and controllable.M ij are fuzzy sets corresponding to variables z i ðtÞ. Similar to the study by Xu et al 17 and Shen et al, 20 z 1 , z 2 , and z 3 represent θ; q; and V , respectively, in this article since the key variables satisfy that θ ¼ þ γ and V is directly influenced by h. The igniting power of each fuzzy rule is given byw w i ðzðtÞÞ indicates the upper degree of membership, while w i ðzðtÞÞ indicates the lower degree of membership. In addition, all of the secondary grades of the I-T-II T-S system are equal to one, and such I-T-II fuzzy sets are completely shown by its own footprint of uncertainty.…”

Section: I-t-ii T-s Model With Actuator Faultsmentioning

confidence: 88%

“…where Y ¼ Pð Að hÞ À Lð hÞ Cð hÞÞ, then substitute above equations into (17), the derivative form of Lyapunov function can be rewritten as…”

Section: Theorem 1 For the Matrix ðmentioning

confidence: 99%

“…Such uncertainties are harmful to maintain the performance of the hypersonic control and even lead to unexpected results, especially in some cases of time-varying additive actuator faults. 21 The parameters A i are assumed to have 10% perturbation, and such perturbation are expressed as A i þ 10%A i in the study by Xu et al, 17 but this form has limitations; therefore, the interval type-II (I-T-II) T-S fuzzy modeling technique is considered in this article. I-T-II fuzzy logic systems, where the antecedent or consequent membership functions are type-II fuzzy sets, were developed by Mendel et al to handle uncertainties.…”

Section: Introductionmentioning

confidence: 99%

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Multiple-step fault estimation for interval type-II T-S fuzzy system of hypersonic vehicle with time-varying elevator faults

Wang

Chen

et al. 2017

International Journal of Advanced Robotic Systems

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This article proposes a multiple-step fault estimation algorithm for hypersonic flight vehicles that uses an interval type-II Takagi-Sugeno fuzzy model. An interval type-II Takagi-Sugeno fuzzy model is developed to approximate the nonlinear dynamic system and handle the parameter uncertainties of hypersonic firstly. Then, a multiple-step time-varying additive fault estimation algorithm is designed to estimate time-varying additive elevator fault of hypersonic flight vehicles. Finally, the simulation is conducted in both aspects of modeling and fault estimation; the validity and availability of such method are verified by a series of the comparison of numerical simulation results.

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Section: I-t-ii T-s Model With Actuator Faultsmentioning

confidence: 88%

“…where Y ¼ Pð Að hÞ À Lð hÞ Cð hÞÞ, then substitute above equations into (17), the derivative form of Lyapunov function can be rewritten as…”

Section: Theorem 1 For the Matrix ðmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multiple-step fault estimation for interval type-II T-S fuzzy system of hypersonic vehicle with time-varying elevator faults

Wang

Chen

et al. 2017

International Journal of Advanced Robotic Systems

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“…• FTC design for nonlinear systems: several strategies have been proposed to deal with nonlinear systems, such as feedback linearization [107], nonlinear dynamic inversion [78], backstepping [360] and neural networks [365] among others. However, as stated by [372], the development of effective design methods for dealing with nonlinear FTCS issues is still an open research problem.…”

Section: Recent Developments Of Fault Tolerant Controlmentioning

confidence: 99%

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Rotondo¹

2018

Springer Theses

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This thesis presents some contributions to the state-of-the-art of the fields of gainscheduling and fault tolerant control (FTC).In the area of gain-scheduling, the connections between the linear parameter varying (LPV) and Takagi-Sugeno (TS) paradigms are analyzed, showing that the methods for the automated generation of models by nonlinear embedding and by sector nonlinearity, developed for one class of systems, can be easily extended to deal with the other class. Then, two measures, based on the notions of overboundedness and region of attraction estimates, are proposed in order to compare different models and choose which one can be considered the best one. Later, the problem of designing state-feedback controllers for LPV systems has been considered, providing two main contributions. First, robust LPV controllers that can guarantee some desired performances when applied to uncertain LPV systems are designed, by using a double-layer polytopic description that takes into account both the variability due to the varying parameter vector and the uncertainty. Then, the idea of designing the controller in such a way that the required performances are scheduled by the varying parameters is explored, which provides an elegant way to vary online the behavior of the closed-loop system. In both cases, the problem reduces to finding a solution to a finite number of linear matrix inequalities (LMIs), which can be done efficiently using the available solvers.In the area of fault tolerant control, the thesis first shows that the aforementioned double-layer polytopic framework can be used for FTC, in such a way that different strategies (passive, active and hybrid) are obtained depending on the amount of available information. Later, an FTC strategy for LPV systems that involves a reconfigured reference model and virtual actuators is developed. It is shown that by including the saturations in the reference model equations, it is possible to design a model reference FTC system that automatically retunes the reference states whenever the system is affected by saturation nonlinearities. In this way, a graceful performance degradation in presence of actuator saturations is incorporated in an elegant way. Finally, the problem of FTC of unstable LPV systems subject to actuator saturations is considered. In this case, the design of the virtual actuator is performed in such a way that the convergence of the state trajectory to zero is assured despite the saturations and the appearance of faults. Also, it is shown that it is possible to obtain some guarantees about the tolerated delay between the fault occurrence and its isolation, and that the nominal controller can be designed so as to maximize the tolerated delay.i Resum Aquesta tesi presenta diverses contribucions a l'estat de l'art del control per planificació del guany i del control tolerant a fallades (FTC).Pel que fa al control per planificació del guany, s'analitzen les connexions entre els paradigmes dels sistemes lineals a paràmetres variants en el temps (LPV) i d...

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“…The control objective is to force the system outputs q 1 and q 2 to track the sinusoidal desired trajectories y d 1 = sin(0.5t) and y d 2 = sin(0.5t). The parameters k 1 and k 2 of the controller can also be selected following Xu et al (2011b).…”

Section: Examplementioning

confidence: 99%

Nonlinear actuator fault estimation observer: An inverse system approach via a T-S fuzzy model

Jiang

Shi

2012

International Journal of Applied Mathematics and Computer Science

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Based on a Takagi-Sugeno (T-S) fuzzy model and an inverse system method, this paper deals with the problem of actuator fault estimation for a class of nonlinear dynamic systems. Two different estimation strategies are developed. Firstly, T-S fuzzy models are used to describe nonlinear dynamic systems with an actuator fault. Then, a robust sliding mode observer is designed based on a T-S fuzzy model, and an inverse system method is used to estimate the actuator fault. Next, the second fault estimation strategy is developed. Compared with some existing techniques, such as adaptive and sliding mode methods, the one presented in this paper is easier to be implemented in practice. Finally, two numerical examples are given to demonstrate the efficiency of the proposed techniques.

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Fault Tolerant Control for a Class of Nonlinear Systems with Application to Near Space Vehicle

Cited by 74 publications

References 19 publications

Multiple-step fault estimation for interval type-II T-S fuzzy system of hypersonic vehicle with time-varying elevator faults

Multiple-step fault estimation for interval type-II T-S fuzzy system of hypersonic vehicle with time-varying elevator faults

Advances in Gain-Scheduling and Fault Tolerant Control Techniques

Nonlinear actuator fault estimation observer: An inverse system approach via a T-S fuzzy model

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