PID fault tolerant control system design with multi-performance indices constraints

Feng, Zhimin; Zhang, Gang; Han, Xiaoxiang

doi:10.1109/wcica.2012.6358440

Cited by 4 publications

(3 citation statements)

References 4 publications

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“…Let define the reconfigured model as an augmented model, which includes principally the state vector x ( t ), the state of the tracking error e t ( t ), the state of the estimation error e s ( t ), and the fault estimation error e f ( t ). These errors are described by

e_{t} false(t false) = x_{r} false(t false) - x false(t false)

e_{s} false(t false) = x false(t false) - \overset{x}{true} false(t false)

e_{f} false(t false) = f false(t false) - \overset{f}{true} false(t false) .

According to the work of Feng et al, we consider a new state vector x t ( t ), which is defined by

x_{t} false(t false) = \int_{0}^{t} e_{t} false(τ false) d τ

such that its dynamic is expressed as follows:

\overset{x_{t}}{true} false(t false) = e_{t} false(t false) .

By using the state space representations and and Equation , the expression of e y r ( t ) becomes

\begin{matrix} right e_{y r} (t) & left = y_{r} (t) - y (t) & right \\ right & left = C e_{t} (t) . \end{matrix}

Now, taking into account Equations , and , the AFTC law can be rewritten as

u_{f} false(t false) = true \sum_{i = 1}^{h} ρ_{i} ((), θ false(t false)) ((, K_{P i} C e_{t} false()

…”

Section: Tracking Ftcmentioning

confidence: 99%

“…Among them, Guo et al have proposed an intelligent‐based FTC scheme with an evolutionary programming based self‐tuning PID fault tolerant controller to solve the fault tolerant tracking control problem for unknown nonlinear multi‐input–multi‐output systems. Feng et al have discussed the problem of PID‐FTC system design for linear systems with state and static output feedback. In the work of Moradi and Fekih, an FTC approach using an adaptive PID sliding‐mode controller is developed for a full scale vehicle dynamic model with an active suspension system in the presence of uncertainties and actuator faults.…”

Section: Introductionmentioning

confidence: 99%

“…The main goal of the actual paper is to extend existing results so as to improve the accuracy of system outputs. For this, we use an adaptive PI control law instead of a state‐feedback control law as in the works of Rodrigues et al and Aouaouda et al Contrary to the works of Guo et al, Feng et al, and Moradi and Fekih, which has proposed a PID controller with a standard control law structure, the proposed control law here is adapted such that it becomes able to compensate perfectly the actuator fault effects.…”

Section: Introductionmentioning

confidence: 99%

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A model reference tracking based on an active fault tolerant control for LPV systems

Rabaoui

Rodrigues

Hamdi

et al. 2018

Adaptive Control & Signal

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This work deals with the problem of a model reference tracking based on the design of an active fault tolerant control for linear parameter-varying systems affected by actuator faults and unknown inputs. Linear parameter-varying systems are described by a polytopic representation with measurable gain scheduling functions. The main contribution is to design an active fault tolerant controller whose control law is described by an adaptive proportional integral structure. This one requires 3 types of online information, which are reference outputs, measured real outputs, and the fault estimation provided by a model reference, sensors, and an adaptive polytopic observer, respectively. These types of information are used to reconfigure the designed controller, which is able to compensate the fault effects and to make the closed-loop system able to track reference outputs in spite of the presence of actuator faults and disturbances. The controller and the observer gains are obtained by solving a set of linear matrices inequalities. Performances of the proposed method are compared to another previous method to underline the relevant results. KEYWORDS active fault tolerant control, adaptive polytopic observer, LMIs, LPV system, model reference tracking control Int J Adapt Control Signal Process. 2018;32:839-857.wileyonlinelibrary.com/journal/acs

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e_{t} false(t false) = x_{r} false(t false) - x false(t false)

e_{s} false(t false) = x false(t false) - \overset{x}{true} false(t false)

e_{f} false(t false) = f false(t false) - \overset{f}{true} false(t false) .

According to the work of Feng et al, we consider a new state vector x t ( t ), which is defined by

x_{t} false(t false) = \int_{0}^{t} e_{t} false(τ false) d τ

such that its dynamic is expressed as follows:

\overset{x_{t}}{true} false(t false) = e_{t} false(t false) .

By using the state space representations and and Equation , the expression of e y r ( t ) becomes

\begin{matrix} right e_{y r} (t) & left = y_{r} (t) - y (t) & right \\ right & left = C e_{t} (t) . \end{matrix}

Now, taking into account Equations , and , the AFTC law can be rewritten as

u_{f} false(t false) = true \sum_{i = 1}^{h} ρ_{i} ((), θ false(t false)) ((, K_{P i} C e_{t} false()

…”

Section: Tracking Ftcmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A model reference tracking based on an active fault tolerant control for LPV systems

Rabaoui

Rodrigues

Hamdi

et al. 2018

Adaptive Control & Signal

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Descriptor observer‐based sensor and actuator fault tolerant tracking control design for linear parameter varying systems

Rabaoui

Hamdi

Braïek

et al. 2020

Intl J Robust & Nonlinear

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This article investigates the design of a descriptor observer (DO)-based sensor and actuator fault (SAF) tolerant tracking control for linear parameter varying (LPV) systems with LPV outputs and disturbed by unknown inputs. The fault tolerant tracking control closed loop system is made of: a DO, a proportional integral derivative (PID) AF tolerant tracking controller, and a sensor fault compensation block. The proposed approach gives a solution to the tracking control problem for this class of systems where the observer and the controller gain matrices can be obtained by solving an optimization problem. The main advantages of this approach with regard to previous approaches are getting around a critical situation which is that the studied LPV system is subject to SAFs simultaneously and unknown inputs, with less conservative results and improving trajectory tracking performances especially in terms of accuracy and rapidity. The performances of the proposed approach are compared to a previous study through a numerical example which is carried out on an hydraulic system.

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A reconfigurable PID fault tolerant tracking controller design for LPV systems

et al. 2020

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PID fault tolerant control system design with multi-performance indices constraints

Cited by 4 publications

References 4 publications

A model reference tracking based on an active fault tolerant control for LPV systems

A model reference tracking based on an active fault tolerant control for LPV systems

Descriptor observer‐based sensor and actuator fault tolerant tracking control design for linear parameter varying systems

A reconfigurable PID fault tolerant tracking controller design for LPV systems

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