Robust fault tolerant tracking controller design for unknown inputs T–S models with unmeasurable premise variables

Aouaouda, Sabrina; Chadli, Mohammed; Khadir, Mohamed Tarek; Bouarar, Tahar

doi:10.1016/j.jprocont.2012.02.016

Cited by 74 publications

(44 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This latter can be expressed as given by (34), where 0 is a zero matrix. Since the faults affecting the system in this approach are supposed to be constant ( ( ) ) the dynamics of the fault estimation error is given by (35).…”

Section: Fig3 Tracking Fault Tolerant Controller Design Methodologymentioning

confidence: 99%

See 1 more Smart Citation

Robust fault tolerant tracking controller design for a VTOL aircraft

Chadli

Aouaouda

Karimi

et al. 2013

Journal of the Franklin Institute

Self Cite

115

View full text Add to dashboard Cite

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.

show abstract

Section: Fig3 Tracking Fault Tolerant Controller Design Methodologymentioning

confidence: 99%

“…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

Self Cite

115

View full text Add to dashboard Cite

show abstract

“…The following theorem shows that system (4) with the switching surface as in (5) is asymptotically stable. (6) hold for ∀i, j, k ∈ 1, ..., r, the proper sliding-mode coefficient C exists and C = (…”

Section: Design Of the Sliding Function And Stability Analysis Of Thementioning

confidence: 99%

“…Since the Parallel Distributed compensation (PDC) approach is formulated by Tanaka and Wang [3], the stability analysis and stabilized controller design for T-S fuzzy systems become achievable and have been applied in a wide range of areas such as electrical/mechanical systems [4,5], process control [6], robot [7] and time-delayed systems [8]. A lot of research outcomes on this field have been appeared in literatures.…”

Section: Introductionmentioning

confidence: 99%

Design of Robust Fuzzy Sliding-Mode Controller for a Class of Uncertain Takagi-Sugeno Nonlinear Systems

Zhang

Wang

2014

INT J COMPUT COMMUN

View full text Add to dashboard Cite

This paper presents the fuzzy design of sliding mode control (SMC) for nonlinear systems with uncertainties, which can be represented by a Takagi-Sugeno (T-S) model. There exist the parameter uncertainties in both state and input matrices, as well as the matched external disturbance. The key feature of this work is the great ability of the controller to deal with systems without assuming that the control matrices of each local T-S model to be same and knowing the priori information of the upper norm-bounds of uncertainties. A sufficient condition for the existence of the desired fuzzy SMC is obtained by solving a set of linear matrix inequalities (LMIs). The reachability of the specified sliding surface is proven. A numerical example is illustrated in order to show the validity of the proposed scheme.

show abstract

“…Some recent works focus on different control aspects of the ASP, e.g. [2,6,30,34,36,38,45,50]. Their ODE models and control strategies are focused on the biological reactions and are more sophisticated than the simple model here.…”

Section: Introductionmentioning

confidence: 99%

Control of an ideal activated sludge process in wastewater treatment via an ODE–PDE model

Diehl

Farås

2013

Journal of Process Control

View full text Add to dashboard Cite

Abstract. The activated sludge process (ASP), found in most wastewater treatment plants, consists basically of a biological reactor followed by a sedimentation tank, which has one inlet and two outlets. The purpose of the ASP is to reduce organic material and dissolved nutrients (substrate) in the incoming wastewater by means of activated sludge (microorganisms). The major part of the discharged flow through the bottom outlet of the sedimentation tank is recirculated to the reactor, so that the biomass is reused. Only two material components are considered; the soluble substrate and the particulate sludge. The biological reactions are modelled by two nonlinear ordinary differential equations and the continuous sedimentation process by two hyperbolic partial differential equations (PDEs), which have coefficients that are discontinuous functions in space due to the inlet and outlets. In contrast to previously published modelling-control aspects of the ASP, the theory for such PDEs is utilized. It is proved that the most desired steady-state solutions can be parameterized by a natural control variable; the ratio of the recirculating volumetric flow to the input flow. This knowledge is a key ingredient in a two-variable regulator, with which the effluent dissolved nutrients concentration and the concentration profile in the sedimentation tank are controlled. Theoretical results are supported by simulations.

show abstract

Robust fault tolerant tracking controller design for unknown inputs T–S models with unmeasurable premise variables

Cited by 74 publications

References 22 publications

Robust fault tolerant tracking controller design for a VTOL aircraft

Robust fault tolerant tracking controller design for a VTOL aircraft

Design of Robust Fuzzy Sliding-Mode Controller for a Class of Uncertain Takagi-Sugeno Nonlinear Systems

Control of an ideal activated sludge process in wastewater treatment via an ODE–PDE model

Contact Info

Product

Resources

About