Fault-Tolerant Control for Linear Time-Variant Impulsive Singular Systems Subject to Actuator Saturation and L∞ Disturbances

2017 ◽  
Vol 139 (11) ◽  
Author(s):  
Mahmood Khatibi ◽  
Mohammad Haeri
Keyword(s):  
Control Problem ◽  
State Feedback ◽  
Actuator Saturation ◽  
Fault Tolerant ◽  
Linear Time ◽  
Singular Systems ◽  
Viscoelastic Model ◽  
Domain Of Attraction ◽  
Fault Tolerant Control ◽  
Time Varying

This paper explores the fault-tolerant control problem for uncertain impulsive singular linear time-variant (LTV) systems in the presence of bounded-power or L∞ disturbances. Here, a saturation avoidance mechanism is employed to prevent faulty actuators from overloading. Also, the conflict between attenuating the effect of L∞ disturbances and enlarging the domain of attraction is tackled by proposing a nonconstant state feedback controller. In addition, the proposed method is capable of tolerating time-varying faults. The suggested method is implemented on a mechanical viscoelastic model of cortical bone with impulsive and time-varying nature to evaluate its competency.

Fault-tolerant control considering time-varying bounds on faults

2017 ◽  
Vol 40 (10) ◽  
pp. 2982-2990 ◽  
Author(s):  
Mahmood Khatibi ◽  
Mohammad Haeri
Keyword(s):  
Controller Design ◽  
Actuator Saturation ◽  
Fault Tolerant ◽  
Domain Of Attraction ◽  
Fault Tolerant Control ◽  
Linear Matrix ◽  
Time Varying ◽  
Optimization Framework ◽  
Aerial Vehicle ◽  
Special Case

This paper presents a novel fault-tolerant control strategy to compensate the time-varying loss of actuators’ effectiveness. It considers intermediate situations where the fault is not determined precisely (unlike active approaches) but overall estimations about its rate and final value are available through the previous experiences and/or experiments. Based on the estimations, two upper and lower time-varying bounds on the actuators’ effectiveness are established to be exploited in the procedure of controller design. In a special case, where these bounds are constant, the method will be reduced to the conventional passive approach. Also, actuator saturation and the effects of [Formula: see text] disturbances are considered in the research. To tackle the conflict between attenuating the effect of L∞ disturbances and enlarging the domain of attraction, a linear matrix inequality optimization framework is suggested. The proposed method is implemented on a model of an unmanned aerial vehicle and the results are discussed.

scholarly journals Robust Stabilization and Disturbance Rejection of Positive Systems with Time-Varying Delays and Actuator Saturation

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Xi Ding ◽  
Zhengrong Xiang ◽  
Chunyu Yang
Keyword(s):  
Disturbance Rejection ◽  
State Feedback ◽  
Actuator Saturation ◽  
Design Method ◽  
Robust Stabilization ◽  
Sufficient Conditions ◽  
Domain Of Attraction ◽  
Time Varying ◽  
Positive Systems ◽  
Closed Loop System

This paper focuses on the problems of robust stabilization and disturbance rejection for a class of positive systems with time-varying delays and actuator saturation. First, a convex hull representation is used to describe the saturation characteristics. By constructing an appropriate copositive type Lyapunov functional, we give sufficient conditions for the existence of a state feedback controller such that the closed-loop system is positive and asymptotically stable at the origin of the state space with a domain of attraction. Then, the disturbance rejection performance analysis in the presence of actuator saturation is developed viaL1-gain. The design method is also extended to investigate the problem ofL1-gain analysis for uncertain positive systems with time-varying delays and actuator saturation. Finally, three examples are provided to demonstrate the effectiveness of the proposed method.

Fault-Tolerant Control against Actuator Failures for a Class of Uncertain Singular Systems

2014 ◽  
Vol 539 ◽  
pp. 601-605 ◽  
Author(s):  
Guo Rong Wang ◽  
Juan Lei
Keyword(s):  
State Feedback ◽  
Fault Tolerant ◽  
Singular Systems ◽  
Singular System ◽  
Fault Tolerant Control ◽  
The State ◽  
Linear Matrix ◽  
Asymptotically Stable ◽  
Actuator Failures ◽  
Uncertain Singular Systems

In this paper, the fault-tolerant control problem for uncertain singular systems is discussed when actuator is normal and failure. First, using linear matrix inequalities (LMI), the state feedback is designed so that the singular system is asymptotically stable when the actuators work well. Then, the state feedback is designed so that the closed-loop singular system is asymptotically stable when the part actuators occur failure. Finally, the use of LMI method , the fault-tolerant state feedback controllers with integrity are presented for uncertain singular systems.

scholarly journals Optimal Fault-Tolerant Control against Descriptor Time-Varying Systems with Nonlinear Input

2018 ◽  
Vol 2018 ◽  
pp. 1-6
Author(s):  
Xiaoming Su ◽  
Jingyao Wang ◽  
Hongyan Shi
Keyword(s):  
State Feedback ◽  
Fault Tolerant ◽  
Sufficient Conditions ◽  
Fault Tolerant Control ◽  
Time Varying ◽  
Quadratic Performance Index ◽  
Nonlinear Input ◽  
Time Varying Systems ◽  
Quadratic Performance ◽  
The Stability

The problem of optimal fault-tolerant control for a class of descriptor time-varying systems with nonlinear input is considered. Based on the Lyapunov stability theorem, the sufficient conditions of the stability are obtained when the system is normal and ineffective. Furthermore, the fault-tolerant control of the systems is carried out in two cases, and the state feedback fault-tolerant controller is obtained to satisfy the quadratic performance index and reach the minimum value in order to achieve the optimal fault-tolerant control. Finally, the validity of the proposed approach is illuminated by a numerical example.

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