Robust dynamic output feedback fuzzy Lyapunov stabilization of Takagi–Sugeno systems—A descriptor redundancy approach

Guelton, Kevin; Bouarar, Tahar; Manamanni, Noureddine

doi:10.1016/j.fss.2009.02.008

Cited by 137 publications

(73 citation statements)

References 45 publications

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“…The combination of (32), (33), (34), and (35) allows the formulation of the dynamics ( ) ( ) ( ), and ( ) with ( ) in a descriptor form [28], [29]:…”

Section: Fault Tolerant Tracking Controllermentioning

confidence: 99%

Robust fault tolerant tracking controller design for a VTOL aircraft

Chadli

Aouaouda

Karimi

et al. 2013

Journal of the Franklin Institute

115

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Abstract-This paper deals with the fault tolerant control (FTC) design for a Vertical Takeoff and Landing (VTOL) aircraft subject to external disturbances and actuator faults. The aim is to synthesize a fault tolerant controller ensuring trajectory tracking for the nonlinear uncertain system represented by Takagi-Sugeno (T-S) model. In order to design the FTC law, a proportional integral observer (PIO) is adopted which estimate both of the faults and the faulty system states. Based on Lyapunov theory and ℒ 2 optimization, the trajectory tracking performance and the stability of the closed loop system are analyzed. Sufficient conditions are obtained in terms of linear matrix inequalities (LMI). Simulation results show that the proposed controller is robust with respect to uncertainties on the mechanical parameters that characterize the model and secures global convergence.

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“…The combination of (32), (33), (34), and (35) allows the formulation of the dynamics ( ) ( ) ( ), and ( ) with ( ) in a descriptor form [28], [29]:…”

Section: Fault Tolerant Tracking Controllermentioning

confidence: 99%

Robust fault tolerant tracking controller design for a VTOL aircraft

Chadli

Aouaouda

Karimi

et al. 2013

Journal of the Franklin Institute

115

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“…This approach is well known to avoid the coupling terms between the feedback gains and the Lyapunov matrices. As a consequence, the number of LMIs decreases and relaxed conditions are obtained [3]. The control law given by (19) is written as follows…”

Section: Saturated State Feedback Control Input : a Descriptor Appmentioning

confidence: 99%

Stabilization of nonlinear systems subject to uncertainties and actuator saturation

Bezzaoucha

Marx

Maquin

et al. 2013

2013 American Control Conference

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Abstract-This paper deals with nonlinear system control with input saturation and parametric uncertainties. The considered nonlinear systems are represented by Takagi-Sugeno models. The proposed controller is a parallel distributed compensation state feedback. Stabilization conditions are derived with the Lyapunov method and expressed as an optimization problem under linear matrix inequality (LMI) constraints. The obtained controller gains depend on the saturation limits. The descriptor approach for modelling is also applied to reduce the number of LMI. An academic example is presented with a comparison between the proposed approach and a conventional controller.

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“…Hence, the control design method via output feedback controller is desired. The results on output feedback control design for fuzzy systems have been obtained(for example, [8]- [12]). The papers [8] and [9] proposed an output feedback controller based on the separation principle and the standard PDC.…”

Section: Introductionmentioning

confidence: 99%

“…The paper [10] considered the case of immeasurable premise variables. The papers [11] and [12] adopted a descriptor system approach, which reduces control design conditions, to the case of the output feedback control design, while the paper [13] focused on the state feedback control design by the same descriptor system approach. It is well-known that descriptor systems have richer structures, which produces less conservatism in the control design conditions.…”

Section: Introductionmentioning

confidence: 99%

“…Descriptor system approach as well as non-PDC controller is employed to obtain less conservative controller design conditions. Although the papers [11] and [12] use a descriptor system approach, there is still room for the approach taken in [11] and [12] to be extended to a general case. In addition, generalized slack variables in our approach produce more relaxed controller design conditions.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Non-Fragile Dynamic Output Feedback Control Design for Fuzzy Stochastic Systems

Yoneyama

Hoshino

2016

Transactions of ISCIE

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The paper considers a non-fagile control design via dynamic output feedback controller for fuzzy stochastic systems that are subject to stochastic disturbances. In practical situations, robust control design methods should take case of disturbances into the system and variations in control gains, and they should assume that not all the states of the system are available for the feedback control. In addition, malfunction may occur in actuators. Hence, a non-fragile output feedback control design is desired. In this paper, robust stabilization via dynamic output feedback control with uncertain control gain for fuzzy stochastic systems is considered and a control design of robust stabilizing controllers is proposed. The robust stability analysis of the closed-loop system and non-fragile controller design via descriptor system approach are given in terms of LMI conditions. The resulting conditions are less conservative than the existing results. An illustrative example is provided to show the effectiveness of the proposed method.

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Robust dynamic output feedback fuzzy Lyapunov stabilization of Takagi–Sugeno systems—A descriptor redundancy approach

Cited by 137 publications

References 45 publications

Robust fault tolerant tracking controller design for a VTOL aircraft

Robust fault tolerant tracking controller design for a VTOL aircraft

Stabilization of nonlinear systems subject to uncertainties and actuator saturation

Non-Fragile Dynamic Output Feedback Control Design for Fuzzy Stochastic Systems

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