filtering for fuzzy systems with immeasurable premise variables: An uncertain system approach

Yoneyama, Jun

doi:10.1016/j.fss.2008.09.012

Cited by 160 publications

(79 citation statements)

References 12 publications

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“…Parallel to control design problems, a study on observer design for fuzzy systems has started [3,[19][20][21][22][23][24]. An observer design for fuzzy bilinear systems has also been considered in [25][26][27][28], some of which are concerned with the design of an observer that attenuates unknown inputs.…”

Section: Introductionmentioning

confidence: 99%

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A New Observer Design for Fuzzy Bilinear Systems with Unknown Inputs

Yoneyama

2017

Designs

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An observer design for a class of nonlinear systems with unknown inputs is considered. Takagi-Sugeno fuzzy bilinear systems represent a wide class of nonlinear systems, and these systems with unknown inputs are an ideal model for many physical systems. For such systems, a design method for obtaining an observer that estimates the state of the system is proposed. A parallel distributed observer (PDO), which is constructed with local linear observers and the appropriate grade of the membership functions, is a conventional observer for Takagi-Sugeno fuzzy bilinear systems. However, it is known that its design conditions have conservativeness. In this paper, to reduce the conservatism in the design conditions, non-PDO with new design conditions is proposed. Our design conditions are derived from a multiple Lyapunov function, which depends on the membership function with time-delay in the premise variables. This method eventually reduces the conservatism and enables us to construct an observer for a wide class of nonlinear systems. When the premise variables are the state variables that are not measurable, Takagi-Sugeno fuzzy bilinear systems can represent a wider class of nonlinear systems. Hence, an observer design for fuzzy bilinear systems with unmeasurable premise variables is also proposed. Finally, numerical examples are given to illustrate our design methods.

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Section: Introductionmentioning

confidence: 99%

“…The output feedback control and observer design with the unmeasurable premise variables was first considered in [29]. Since then, various methods of control and observer design have been proposed [22,23,[30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

A New Observer Design for Fuzzy Bilinear Systems with Unknown Inputs

Yoneyama

2017

Designs

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“…In consequence, few works related to systems with unmeasurable gains scheduling functions have been published. Most of the papers deal with FDI for state-space LPV systems (Yoneyama, 2009;Theilliol and Aberkane, 2011;Ichalal et al, 2010;Chadli et al, 2013a;Blesa et al, 2014). Some of them are related to fault detection for D-LPVsystems with measurable scheduling functions (Hamdi et al, 2012b;Astorga-Zaragoza et al, 2011;Aguilera-González et al, 2013) and only several are related to D-LPV systems.…”

Section: Introductionmentioning

confidence: 99%

Robust sensor fault estimation for descriptor-LPV systems with unmeasurable gain scheduling functions: Application to an anaerobic bioreactor

López‐Estrada

Ponsart

Astorga‐Zaragoza

et al. 2015

International Journal of Applied Mathematics and Computer Science

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This paper addresses the design of a state estimation and sensor fault detection, isolation and fault estimation observer for descriptor-linear parameter varying (D-LPV) systems. In contrast to where the scheduling functions depend on some measurable time varying state, the proposed method considers the scheduling function depending on an unmeasurable state vector. In order to isolate, detect and estimate sensor faults, an augmented system is constructed by considering faults to be auxiliary state vectors. An unknown input LPV observer is designed to estimate simultaneously system states and faults. Sufficient conditions to guarantee stability and robustness against the uncertainty provided by the unmeasurable scheduling functions and the influence of disturbances are synthesized via a linear matrix inequality (LMI) formulation by considering H∞ and Lyapunov approaches. The performances of the proposed method are illustrated through the application to an anaerobic bioreactor model.

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“…Observer and observer-based controller design for uncertain Sugeno systems has been widely addressed by many researchers over the last decades (Tseng et al, 2009;Yoneyama, 2009;Xu et al, 2012;Ichalal et al, 2012). Sugeno systems are popular for their local linear form, which allows one to use powerful existing tools (e.g., Linear Matrix Inequality (LMI)) for analysis and design of these systems.…”

Section: Introductionmentioning

confidence: 99%

Robust observer design for Sugeno systems with incremental quadratic nonlinearity in the consequent

Moodi¹,

Farrokhi²

2013

International Journal of Applied Mathematics and Computer Science

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This paper is concerned with observer design for nonlinear systems that are modeled by T-S fuzzy systems containing parametric and nonparametric uncertainties. Unlike most Sugeno models, the proposed method contains nonlinear functions in the consequent part of the fuzzy IF-THEN rules. This will allow modeling a wider class of systems with smaller modeling errors. The consequent part of each rule contains a linear part plus a nonlinear term, which has an incremental quadratic constraint. This constraint relaxes the conservativeness introduced by other regular constraints for nonlinearities such as the Lipschitz conditions. To further reduce the conservativeness, a nonlinear injection term is added to the observer dynamics. Simulation examples show the effectiveness of the proposed method compared with the existing techniques reported in well-established journals.

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filtering for fuzzy systems with immeasurable premise variables: An uncertain system approach

Cited by 160 publications

References 12 publications

A New Observer Design for Fuzzy Bilinear Systems with Unknown Inputs

A New Observer Design for Fuzzy Bilinear Systems with Unknown Inputs

Robust sensor fault estimation for descriptor-LPV systems with unmeasurable gain scheduling functions: Application to an anaerobic bioreactor

Robust observer design for Sugeno systems with incremental quadratic nonlinearity in the consequent

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