Observers for Takagi-Sugeno fuzzy systems

Bergsten, P.; Palm, Rainer; Driankov, Dimiter

doi:10.1109/3477.979966

Cited by 258 publications

(184 citation statements)

References 17 publications

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“…It should be stated that the multiple model (MM) [30] or the fuzzy Takagi-Sugeno (TS) [31,32,33] paradigms could be considered instead of the LPV one. According to [34,35,36], these paradigms are very similar, thus the results obtained in this work could be easily extended to MM and TS systems. Results obtained in simulation are presented, demonstrating the effectiveness and the relevant features of the proposed approach.…”

Section: Introductionmentioning

confidence: 56%

Design of parameter-scheduled state-feedback controllers using shifting specifications

Rotondo

Nejjari

Puig

2015

Journal of the Franklin Institute

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In this paper, the problem of designing a parameter-scheduled state-feedback controller is investigated. The paper presents an extension of the classical regional pole placement, H 2 control and H ∞ control problems, so as to satisfy new specifications, that will be referred to as shifting pole placement control, shifting H 2 control and shifting H ∞ control, respectively. By introducing some parameters, or using the existing ones, the controller can be designed in such a way that different values of these parameters imply different regions where the closed-loop poles are situated, or different performances in the H 2 or H ∞ sense. The proposed approach is derived within the so-called Lyapunov shaping paradigm, where a single quadratic Lyapunov function is used for ensuring stability and desired performances in spite of arbitrary parameter time variation. The problem is analyzed in the continuous-time LPV case, even though the developed theory could be applied to LTI systems in cases when it is desired to vary the control system performances online. Results obtained in simulation demonstrate the effectiveness and the relevant features of the proposed approach.

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Section: Introductionmentioning

confidence: 56%

Design of parameter-scheduled state-feedback controllers using shifting specifications

Rotondo

Nejjari

Puig

2015

Journal of the Franklin Institute

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“…The rationale above can easily be extended to a broad class of nonlinear functions. In particular, as shown in Bergsten (2001) this is true for nonlinear systems of the forṁ…”

Section: Ts System Representationmentioning

confidence: 85%

Nonlinear State Estimation in Suspension Control Based on Takagi-Sugeno Model

Pletschen

Badur

2014

IFAC Proceedings Volumes

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We present a new nonlinear state estimation approach based on Kalman filter theory and Takagi-Sugeno (TS) modeling for an active vehicle suspension application in this paper. The nonlinear state equations of a so-called hybrid suspension configuration, which result from nonlinear spring and damping characteristics, are exactly represented by means of a continuoustime TS system, i. e. a convex combination of local linear state space models. We derive observer gain matrices for each linear subsystem on the basis of standard Kalman filter theory, before we construct the global observer for the overall nonlinear system. Convergence of the global observer is ensured in terms of linear matrix inequality conditions. We then study the estimation performance of the TS Kalman filter in simulations and experiments on a hybrid quarter-car test rig using a measured road profile as disturbance input. The approach achieves a high estimation accuracy of well above 90 % in the simulation and 70 − 90 % in the experiments.

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“…In the literature, few works are devoted to the case of unmeasurable decision variables. Nevertheless, we can cite Bergsten et al [2002], Palm and Bergsten [2000], where the authors proposed the fuzzy ThauLuenberger observer which is an extension of the classical Luenberger observer. The main contribution of this paper is to propose a method for fault diagnosis of nonlinear systems described by TS models with measurable and unmeasurable premise variables using the standard H ∞ framework developed for linear systems.…”

Section: Problem Statementmentioning

confidence: 99%

“…The main advantage of these models is the ability to extend the tools designed in the linear system framework. Indeed, many topics of control are extended to TS systems, such as stability and stabilization in Tanaka et al [1998], Guerra et al [2006], Chadli et al [2002], observers and state estimation in Akhenak et al [2007], Bergsten et al [2002].…”

Section: Introductionmentioning

confidence: 99%

Fault diagnosis for Takagi-Sugeno nonlinear systems

Ichalal

Marx

Ragot

et al. 2009

IFAC Proceedings Volumes

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This paper addresses a new scheme for fault diagnosis in nonlinear systems described by Takagi-Sugeno multiple models. Two cases are considered, the first one concerns the T-S models with known premise variables (the input or the output of the system). For the second case it is supposed that the weighting functions depend on unmeasurable premise variables (state of the system). The approach is based on the design of observer-based residual generator by minimization of the disturbances effect and maximizing the effects of the faults. The synthesis is based on the L 2 formalism developed for linear systems. The convergence conditions are given in LMI formulation.

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Observers for Takagi-Sugeno fuzzy systems

Cited by 258 publications

References 17 publications

Design of parameter-scheduled state-feedback controllers using shifting specifications

Design of parameter-scheduled state-feedback controllers using shifting specifications

Nonlinear State Estimation in Suspension Control Based on Takagi-Sugeno Model

Fault diagnosis for Takagi-Sugeno nonlinear systems

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