scholarly journals Adaptive Observer-Based Fault Estimation for Stochastic Markovian Jumping Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Shuping He ◽  
Fei Liu
Keyword(s):  
Estimation Algorithm ◽  
Adaptive Observer ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Multiple Time ◽  
Markovian Jumping ◽  
Estimation Algorithms ◽  
Markovian Jumping Systems ◽  
Estimation Problems ◽  
Jump Systems

This paper studies the adaptive fault estimation problems for stochastic Markovian jump systems (MJSs) with time delays. With the aid of the selected Lyapunov-Krasovskii functional, the adaptive fault estimation algorithm based on adaptive observer is proposed to enhance the rapidity and accuracy performance of fault estimation. A sufficient condition on the existence of adaptive observer is presented and proved by means of linear matrix inequalities techniques. The presented results are extended to multiple time-delayed MJSs. Simulation results illustrate that the validity of the proposed adaptive faults estimation algorithms.

scholarly journals Adaptive Observer-Based Fault-Tolerant Control Design for Uncertain Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-16 ◽  
Author(s):  
Huaming Qian ◽  
Yu Peng ◽  
Mei Cui
Keyword(s):  
Fault Tolerant ◽  
Linear Time ◽  
Fault Tolerant Control ◽  
Estimation Algorithm ◽  
Adaptive Observer ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Linear Time Invariant ◽  
And Performance ◽  
Aircraft Application

This study focuses on the design of the robust fault-tolerant control (FTC) system based on adaptive observer for uncertain linear time invariant (LTI) systems. In order to improve robustness, rapidity, and accuracy of traditional fault estimation algorithm, an adaptive fault estimation algorithm (AFEA) using an augmented observer is presented. By utilizing a new fault estimator model, an improved AFEA based on linear matrix inequality (LMI) technique is proposed to increase the performance. Furthermore, an observer-based state feedback fault-tolerant control strategy is designed, which guarantees the stability and performance of the faulty system. Moreover, the adaptive observer and the fault-tolerant controller are designed separately, whose performance can be considered, respectively. Finally, simulation results of an aircraft application are presented to illustrate the effectiveness of the proposed design methods.

scholarly journals Robust Fast Adaptive Fault Estimation for T-S Fuzzy Markovian Jumping Systems with Mode-Dependent Time-Varying State Delays

2021 ◽  
Vol 2021 ◽  
pp. 1-26
Author(s):  
Chao Sun ◽  
Shengjuan Huang ◽  
Libing Wu ◽  
Suhuan Yi
Keyword(s):  
Adaptive Estimation ◽  
Estimation Error ◽  
External Disturbance ◽  
Estimation Algorithm ◽  
Fault Estimation ◽  
Time Varying ◽  
Markovian Jumping ◽  
Markovian Jumping Systems ◽  
Stochastically Stable ◽  
Estimation Scheme

This paper studies the problem of actuator fault estimation for a class of T-S fuzzy Markovian jumping systems, which is subject to mode-dependent interval time-varying delays and norm-bounded external disturbance. Based on the given fast adaptive estimation algorithm and by employing a novel Lyapunov–Krasovskii function candidate, a robust fault estimation scheme is proposed to estimate faults whose derivative is bounded. With this improved method, the proposed fault estimator minimizes the effect of disturbance on the estimation error and reduces the conservatism of systems stability results simultaneously. To be specific, an improved mode-dependent criterion for the existence of the fault estimation observer is established to guarantee the error dynamic system to be stochastically stable with a prescribed H ∞ performance and reduce the conservatism of designing procedure. Finally, three numerical examples are given to show the effectiveness of the proposed method.

scholarly journals Integrated Sensor Fault Diagnosis and Fault-Tolerant Control for Manipulator

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Bowen Hong ◽  
Lina Yao ◽  
Zhiwei Gao
Keyword(s):  
Fault Diagnosis ◽  
Controller Design ◽  
Fault Tolerant ◽  
Adaptive Observer ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Sensor Fault ◽  
Integrated Sensor ◽  
Model Control ◽  
Constant Fault

In this paper, an integrated scheme including fault diagnosis and fault-tolerant controller design is proposed for the manipulator system with the sensor fault. Any constant fault or time-varying fault can be estimated by the fault diagnosis scheme based on the adaptive observer rapidly and accurately, and the designed parameters can be solved by the linear matrix inequality. Using the fault estimation information, a fault-tolerant controller combining the characteristics of the proportional differentiation control and the sliding model control is designed to trace the expected trajectory via the back-stepping method. Finally, the effectiveness of the above scheme is verified by the simulation results.

scholarly journals Robust Fault Estimation Using the Intermediate Observer: Application to the Quadcopter

Sensors ◽  
2020 ◽  
Vol 20 (17) ◽  
pp. 4917
Author(s):  
Ngoc Phi Nguyen ◽  
Tuan Tu Huynh ◽  
Xuan Phu Do ◽  
Nguyen Xuan Mung ◽  
Sung Kyung Hong
Keyword(s):  
Estimation Algorithm ◽  
Lyapunov Theory ◽  
Observer Design ◽  
Balance Method ◽  
System Stability ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Actuator Faults ◽  
Control Effectiveness ◽  
System States

In this paper, an actuator fault estimation technique is proposed for quadcopters under uncertainties. In previous studies, matching conditions were required for the observer design, but they were found to be complex for solving linear matrix inequalities (LMIs). To overcome these limitations, in this study, an improved intermediate estimator algorithm was applied to the quadcopter model, which can be used to estimate actuator faults and system states. The system stability was validated using Lyapunov theory. It was shown that system errors are uniformly ultimately bounded. To increase the accuracy of the proposed fault estimation algorithm, a magnitude order balance method was applied. Experiments were verified with four scenarios to show the effectiveness of the proposed algorithm. Two first scenarios were compared to show the effectiveness of the magnitude order balance method. The remaining scenarios were described to test the reliability of the presented method in the presence of multiple actuator faults. Different from previous studies on observer-based fault estimation, this proposal not only can estimate the fault magnitude of the roll, pitch, yaw, and thrust channel, but also can estimate the loss of control effectiveness of each actuator under uncertainties.

Stabilization of Fuzzy Markovian Jumping Systems with Distributed Delay

2014 ◽  
Vol 556-562 ◽  
pp. 4386-4390
Author(s):  
Zhao Ping Yuan
Keyword(s):  
Time Delay ◽  
Robust Stabilization ◽  
Distributed Delay ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Markovian Jumping ◽  
Weighting Matrix ◽  
Markovian Jumping Systems ◽  
Distributed Time Delay ◽  
Delay Dependent

This paper is concerned with the stabilization problem for fuzzy Markovian jumping systems with distributed time delay. First, fuzzy Markovian jumping systems with distributed time delay are peoposed. Second, a novel criterion of delay-dependent robust stabilization for fuzzy Markovian jumping systems is established in terms of linear matrix inequalities (LMIs) by using Lyapunov stability theory and free-weighting matrix method. When these LMIS are feasible, an explicit expression of a desired adjustable state feedback controller is given. Based on the obtained criterion, the introduced controller ensures the overall closed-loop system asymptotically stable in mean square sense for all admissible uncertainties and time delay.

scholarly journals Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Chao Ma
Keyword(s):  
Finite Time ◽  
Functional Method ◽  
Linear Matrix ◽  
Time Varying ◽  
Markovian Jumping ◽  
Markovian Jumping Systems ◽  
The Mean ◽  
Delay Dependent ◽  
Passivity And Passification ◽  
Theoretical Results

This paper investigates the finite-time passivity and passification design problem for a class of Markovian jumping systems with mode-dependent time-varying delays. By employing the Lyapunov-Krasovskii functional method, delay-dependent sufficient criteria are derived to ensure the mean-square stochastically finite-time passivity. Based on the established results, mode-dependent passification controller is further designed in terms of linear matrix inequalities, such that the prescribed passive performance index of the resulting closed-loop system can be satisfied. Finally, two illustrative examples are given to show the effectiveness of the obtained theoretical results.

Tracking Fault Tolerant Control for Hybrid System: Two-Link Human Arm Application

2019 ◽  
Vol 141 (5) ◽  
Author(s):  
Labidi Islem ◽  
Zanzouri Nadia ◽  
Takrouni Asma
Keyword(s):  
State Feedback ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Estimation Algorithm ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Sensor Faults ◽  
Proportional Integral Derivative ◽  
Human Arm ◽  
Proportional Integral Derivative Control

This paper proposes a novel fault tolerant control (FTC) scheme for a class of hybrid dynamical system (HDS) subject to sensor faults. The corresponding FTC architecture is designed around a reconfiguration mechanism. It aims to compensate the effects of the sensors degradation and maintain satisfactory performances including continuous stability. Moreover, by using the linear matrix inequalities (LMI) approach, a fault estimation algorithm is fulfilled and the compromise between robustness to disturbances and sensitivity to fault is guaranteed. For the sake of trajectory tracking, a combined robust state feedback and proportional-integral-derivative control system is proposed herein. Finally, extensive simulation results conducted on two-link arm system are included to illustrate the efficiency of the designed FTC scheme.

scholarly journals Optimal Fault Tolerant Control of Large-Scale Wind Turbines in the Case of the Pitch Actuator Partial Faults

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-17 ◽  
Author(s):  
Younes Ait El Maati ◽  
Lhoussain El Bahir
Keyword(s):  
Response Time ◽  
Wind Turbines ◽  
Large Scale ◽  
Fault Tolerant ◽  
Tracking Error ◽  
Fault Tolerant Control ◽  
Estimation Algorithm ◽  
Design Parameters ◽  
Fault Estimation ◽  
Linear Matrix

In this paper, an adaptive fault tolerant control strategy is proposed to deal with the three pitch actuator faults in the large-scale wind turbines. Firstly, a simultaneous state and fault estimation was performed through a suitable LMI (linear matrix inequality) based optimal strategy. Hereafter, the new control law is designed using the previously estimated fault information. The actuator efficiency estimator uses as design parameters, respectively, the performance index γ against the wind and the learning rate Ξ. of the fault estimation algorithm. The study shows that the choice of the previous two parameters impacts the response time of the fault estimation and the correlation of the tracking error with the wind. The aim is to choose a small fault estimation response time while keeping a weak correlation between the tracking error and the wind turbulence noise. Finally, a tuning strategy is elaborated to choose the suitable γ and Ξ to match the reconfiguration objective.

Proportional-Integral Control for Markovian Jumping Systems with Distributed Time Delay

2012 ◽  
Vol 562-564 ◽  
pp. 1689-1692
Author(s):  
Yi Zhong Wang
Keyword(s):  
Time Delay ◽  
Robust Stabilization ◽  
Linear Matrix ◽  
Markovian Jumping ◽  
Integral Control ◽  
Proportional Integral ◽  
Weighting Matrix ◽  
Markovian Jumping Systems ◽  
Proportional Integral Control ◽  
Delay Dependent

This paper deals with the proportional-integral control problem for a class of stochastic Markovian jum v-Krasovskii functional and free-weighting matrix method, the novel delay-dependent robust stabilization criterion for the stochastic Markovian jumping systems is formulated in terms of linear matrix inequality (LMI). When the LMI is feasible, an explicit expression of the desired proportional-integral controller is given. Designed controller, based on the obtained criterion, ensures asymptotically stable in the mean square sense of the resulting closed-loop system for all admissible uncertainties and time delay.

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