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.

Stability of Nonlinear Fractional-Order Time Varying Systems

2015 ◽  
Vol 11 (3) ◽  
Author(s):  
Sunhua Huang ◽  
Runfan Zhang ◽  
Diyi Chen
Keyword(s):  
Laplace Transform ◽  
Fractional Order ◽  
Caputo Derivative ◽  
Local Stability ◽  
State Feedback ◽  
Sufficient Condition ◽  
Time Varying ◽  
Fractional Order Systems ◽  
Time Varying Systems ◽  
The Stability

This paper is concerned with the stability of nonlinear fractional-order time varying systems with Caputo derivative. By using Laplace transform, Mittag-Leffler function, and the Gronwall inequality, the sufficient condition that ensures local stability of fractional-order systems with fractional order α : 0<α≤1 and 1<α<2 is proposed, respectively. Moreover, the condition of the stability of fractional-order systems with a state-feedback controller is been put forward. Finally, a numerical example is presented to show the validity and feasibility of the proposed method.

scholarly journals Fault-Tolerant Control with Control Allocation for Time-Varying Linear Systems by Using Continuous Integral Sliding Modes

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Oziel Hernández-Durán ◽  
Rosalba Galván-Guerra ◽  
Juan Eduardo Velázquez-Velázquez ◽  
Benjamín A. Itzá-Ortiz
Keyword(s):  
Fault Tolerant ◽  
Sliding Mode ◽  
Linear Quadratic Regulator ◽  
Fault Tolerant Control ◽  
Control Allocation ◽  
Time Varying ◽  
Sliding Modes ◽  
Linear Quadratic ◽  
Time Varying Systems ◽  
Inversion Techniques

A fault-tolerant control algorithm based on sliding modes is proposed to ensure the tracking of the desired trajectory for time-varying systems even in the presence of actuator faults. The proposed algorithm uses a continuous integral sliding mode and a linear quadratic regulator, together with control allocation and system inversion techniques, resulting in both a finite-time exact compensation of the faults and the exponential tracking of the reference.

Satisfactory fault tolerant control with soft-constraint for discrete time-varying systems: numerical recursive approach

2017 ◽  
Vol 354 (2) ◽  
pp. 1109-1137 ◽  
Author(s):  
Dengfeng Zhang ◽  
Jun Li ◽  
Baochun Lu ◽  
Steven X. Ding ◽  
Zhiquan Wang ◽  
...  
Keyword(s):  
Discrete Time ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Time Varying ◽  
Soft Constraint ◽  
Time Varying Systems

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.

scholarly journals Quadratic Performance Analysis of Switched Affine Time–Varying Systems

2018 ◽  
Vol 28 (3) ◽  
pp. 429-440 ◽  
Author(s):  
Wenzhi Li ◽  
Chi Huang ◽  
Guisheng Zhai
Keyword(s):  
State Feedback ◽  
Convex Combination ◽  
Time Varying ◽  
Switching Law ◽  
State Dependent ◽  
Performance Indexes ◽  
Time Varying Systems ◽  
Finite Set ◽  
Quadratic Performance ◽  
Linear Convex Combination

Abstract We analyze quadratic performance for switched systems which are composed of a finite set of affine time-varying subsystems, where both subsystem matrices and affine vectors are switched, and no single subsystem has desired quadratic performance. The quadratic performance indexes we deal with include stability, tracking and L2 gain. We show that if a linear convex combination of subsystem matrices is uniformly Hurwitz and another convex combination of affine vectors is zero, then we can design a state-dependent switching law (state feedback) and an output-dependent switching law (output feedback) such that the entire switched affine system is quadratically stable at the origin. In the case where the convex combination of affine vectors is nonzero, we show that the tracking control problem can be posed and solved using a similar switching strategy. Finally, we consider the L2gain analysis problem for the switched affine time-varying systems under state feedback.

scholarly journals Fault-Tolerant Control Strategy with Asymmetric Phase Currents for Single to Four-Phase Open-Circuit Faults of Six-Phase PMSM

Energies ◽  
2021 ◽  
Vol 14 (11) ◽  
pp. 3163
Author(s):  
Chen Huang ◽  
Lidan Zhou ◽  
Zujia Cao ◽  
Gang Yao
Keyword(s):  
Working Conditions ◽  
Control Strategy ◽  
Fault Tolerant ◽  
Fault Tolerant Control ◽  
Open Circuit ◽  
Time Varying ◽  
Electromagnetic Torque ◽  
Control Loops ◽  
Phase Current ◽  
Multi Phase

Multi-phase motors and generators are regarded with great fault tolerance capability, especially on open-circuit faults. Various mathematics analytical methods are applied for their fault control. In this paper, a fault-tolerant control strategy with asymmetric phase current for the open-circuit faults with arbitrary phases in the six-phase PMSM (six-phase permanent magnetic synchronous motor, 6P-PMSM) system, is proposed for better electrical and dynamical performance of the machine. An innovative mathematical model for PMSM under one to four-phase-open circuit faults are established considering the asymmetry of the machine. Combining with time-varying relations in machines’ working conditions, targeted decoupling transformation matrixes of every kind of open-circuit faults are settled by voltage equations under different faults. Modified control strategy with a connection between the neutral point and the inverter’s DC side is presented, which aims at increasing the system redundancy and reducing the amplitude of phase currents. Besides, improved control loops with two layers are put forward as well, with which the PMSM system acquires fewer harmonics in phase current and smoother electromagnetic torque. Simulation and experimental results of open-circuit faults are provided for verification of the theoretical analysis.

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