Sliding mode fault‐tolerant control of uncertain system: A delta operator approach

Gao, Yabin; Wu, Ligang; Shi, Peng; Li, Hongyi

doi:10.1002/rnc.3788

Cited by 26 publications

(12 citation statements)

References 40 publications

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“…In [19], the paper focuses on the fault-tolerant control (FTC) approach using fault estimation (FE) and fault compensation within the control system in which the design is achieved by integrating together the FE and FTC controller modules. In [20], the paper is concerned with the sliding mode control of uncertain nonlinear systems against actuator faults and external disturbances based on delta operator approach. At present, there are few studies on this issue at home and abroad, so it is worthwhile to discuss these issues in depth [21,22].…”

Section: Introductionmentioning

confidence: 99%

Robust fault estimation and fault-tolerant control for nonlinear Markov jump systems with time-delays

Pang

2020

Automatika

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The problem of the robust fault estimation and robust fault-tolerant control, for a class of nonlinear time-delayed Markov jump systems (MJSs) with both actuator and sensor faults, was studied. Firstly, by extending the system state, the actuator fault state vector, the sensor fault state vector and the original system state vector were extended to auxiliary state variables, and the original system was extended to a generalized system. Then, for the singular system, a generalized observer was designed to achieve the simultaneous estimation of its actuator faults, sensor faults and original system state. In addition, based on the observer estimation, a state feedback fault-tolerant controller was designed to make the closed-loop system stable and meet certain performance indicators. By solving linear matrix inequality, sufficient conditions for the existence of generalized observer and fault-tolerant controller were given. Finally, a numerical example and a practical example were given to demonstrate the effectiveness of the proposed approach.

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Section: Introductionmentioning

confidence: 99%

Robust fault estimation and fault-tolerant control for nonlinear Markov jump systems with time-delays

Pang

2020

Automatika

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“…Because of these advantages, SMC has been used in many linear, nonlinear, uncertain, stochastic and faulty systems etc. [27][28][29]. In this method, two main types of surfaces including the linear and nonlinear sliding surfaces have been suggested [30,31].…”

Section: Introductionmentioning

confidence: 99%

“…The FTC along with the sliding mode observation/control techniques has been studied in lots of papers. Combining fault-tolerant sliding mode controller with delta operator or fuzzy T-S model covers nonlinear systems actuator faults [28][29][30]. The TSM controllers for three-phase PMSM have been studied in [31][32][33][34][35] and recently have been used for five-phase PMSM in the normal and opened phase faulty states [36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Sensorless fault-tolerant control of five-phase IPMSMs via model reference adaptive systems

Zafari

Shoja-Majidabad

2020

Automatika

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The present study deals with sensorless fault-tolerant control (SFTC) of five-phase Interior Permanent Magnet Synchronous Motors (IPMSMs). First, a Proportional-Integral Model Reference Adaptive System (PI-MRAS) speed estimator is proposed. The MRAS compares outputs of reference and adaptive models. Then, PI controller is utilized to generate the estimated speed by minimizing current errors between the two models. Second, a novel Sign Integral Terminal Sliding Mode Controller (SITSMC) is suggested in the presence of open phase faults. The proposed controller tolerates these faults through a transformation matrix tuning technique in view of equal current and minimum copper loss schemes. Meanwhile, SITSM controller utilizes the estimated speed of PI-MRAS block. Third, stability of the closed-loop system is provided by Lyapunov theorem. Finally, simulation results validate the feasibility and effectiveness of the suggested SFTC strategy both in normal and open one phase faulty conditions for a five-phase IPMSM.

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“…Active fault-tolerant control effectively compensates faults to achieve the desired performance by constructing a controller based on fault diagnosis and identification. Recently, many works have focused on fault-tolerant control (Gao et al, 2017a,b; Li and Yang, 2012; Selvaraj et al, 2017; Tong et al, 2014; Wei et al, 2016; Yang et al, 2009, 2018) and covered a wide range of systems, such as fuzzy systems (Selvaraj et al, 2017; Tong et al, 2014), linear parameter-varying systems (Yang et al, 2018), uncertain linear systems (Gao et al, 2017b; Li and Yang, 2012; Yang et al, 2009) and Markovian jump systems (Gao et al, 2017a; Li et al, 2014). Meanwhile, for the fault estimate, there are many observer-based control methods, such as functional observer control (Mohajerpoor et al, 2015, 2017b), sliding mode observer-based fault-tolerant control (Li et al, 2014; Yin et al, 2017) and fault diagnosis observer control (Cao et al, 2011).…”

Section: Introductionmentioning

confidence: 99%

Composite hierarchical control for Markovian jump systems with multiple disturbances and time-varying fault

Yao

Zhang

Park

2018

Transactions of the Institute of Measurement and Control

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We investigate a robust fault-tolerant control problem for continuous-time Markovian jump systems with an actuator fault and multiple disturbances (one is norm-bounded, whereas the other can be modelled by an exogenous system). Our aim is to construct, simultaneously, a model-dependent disturbance observer for modelling the disturbance estimate and a model-dependent fault diagnosis observer for the time-varying fault estimate and then propose a composite hierarchical control scheme by integrating the fault and disturbance estimates using a state feedback control strategy. Application of the H ∞ control methodology ensures stochastic stability of the resulting composite system with fault compensation, disturbance attenuation and rejection performances. On the basis of Lyapunov stability theory, the existence conditions of the disturbance observer, fault diagnosis observer and composite controller are derived from the solution to a convex optimization problem. Finally, a numerical example is given to illustrate the effectiveness of the proposed techniques.

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Sliding mode fault‐tolerant control of uncertain system: A delta operator approach

Cited by 26 publications

References 40 publications

Robust fault estimation and fault-tolerant control for nonlinear Markov jump systems with time-delays

Robust fault estimation and fault-tolerant control for nonlinear Markov jump systems with time-delays

Sensorless fault-tolerant control of five-phase IPMSMs via model reference adaptive systems

Composite hierarchical control for Markovian jump systems with multiple disturbances and time-varying fault

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