scholarly journals Impulse Elimination and Fault-Tolerant Preview Controller Design for a Class of Descriptor Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Chen Jia ◽  
Fucheng Liao ◽  
Jiamei Deng
Keyword(s):  
Controller Design ◽  
Fault Tolerant ◽  
Original System ◽  
Descriptor Systems ◽  
Descriptor System ◽  
Equivalent Transformation ◽  
Sensor Faults ◽  
Augmented System ◽  
Model Following ◽  
General Method

In this paper, a fault-tolerant preview controller is designed for a class of impulse controllable continuous time descriptor systems with sensor faults. Firstly, the impulse is eliminated by introducing state prefeedback; then an algebraic equation and a normal control system are obtained by restricted equivalent transformation for the descriptor system after impulse elimination. Next, the model following problem in fault-tolerant control is transformed into the optimal regulation problem of the augmented system which is constructed by a general method. And the final augmented system and its corresponding performance index function are obtained by state feedback for the augmented system constructed above. The controller with preview effect for the final augmented system is attained based on the existing conclusions of optimal preview control; then, the fault-tolerant preview controller for the original system is obtained through integral and backstepping. The relationships between the stabilisability and detectability of the final augmented system and the corresponding characteristics of the original descriptor system are also strictly discussed. The effectiveness of the proposed method is verified by numerical simulation.

scholarly journals Design of an Optimal Preview Controller for a Class of Linear Discrete-Time Descriptor Systems

2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
Fucheng Liao ◽  
Zhihua Xue ◽  
Jiang Wu
Keyword(s):  
Control Problem ◽  
Discrete Time ◽  
Original System ◽  
Simulation Method ◽  
Descriptor Systems ◽  
Descriptor System ◽  
Equivalent Transformation ◽  
Normal System ◽  
Preview Control ◽  
Error System

The preview control problem of a class of linear discrete-time descriptor systems is studied. Firstly, the descriptor system is decomposed into a normal system and an algebraic equation by the method of the constrained equivalent transformation. Secondly, by applying the first-order forward difference operator to the state equation, combined with the error equation, the error system is obtained. The tracking problem is transformed into the optimal preview control problem of the error system. Finally, the optimal controller of the error system is obtained by using the related results and the optimal preview controller of the original system is gained. In this paper, we propose a numerical simulation method for descriptor systems. The method does not depend on the restricted equivalent transformation.

Fault estimation and observer-based fault-tolerant controller in finite frequency domain

2017 ◽  
Vol 40 (5) ◽  
pp. 1659-1668 ◽  
Author(s):  
Yingying Tian ◽  
Fanglai Zhu
Keyword(s):  
Frequency Domain ◽  
Controller Design ◽  
Fault Tolerant ◽  
Sufficient Conditions ◽  
Original System ◽  
Descriptor System ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Finite Frequency ◽  
Closed Loop System

In this paper, the problems of finite-frequency fault estimation (FE) and fault tolerant controller design are investigated for a class of systems subjected to both sensor and actuator faults. To begin with, by introducing an expanded state vector, the original system is transformed into a descriptor system, and then an unknown input proportional-integral observer (PI) is developed to provide state and FE, which avoids the overdesign problems occurring in the entire frequency domain. After this, based on reconstructed information, an observer-based fault-tolerant controller is designed to stabilize the closed-loop system even if it suffers from faults and disturbances. In addition, the sufficient conditions of the existence of the PI and fault tolerant controller are derived by linear matrix inequality (LMI) tools. Finally, a simulation example is presented to demonstrate the effectiveness of the proposed techniques.

scholarly journals Active Fault-Tolerant Control for Wind Turbine with Simultaneous Actuator and Sensor Faults

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Lei Wang ◽  
Ming Cai ◽  
Hu Zhang ◽  
Fuad Alsaadi ◽  
Liu Chen
Keyword(s):  
Wind Turbine ◽  
State Vector ◽  
Fault Tolerant ◽  
Sliding Mode ◽  
Design Method ◽  
Fault Tolerant Control ◽  
Descriptor System ◽  
Fault Estimation ◽  
Sensor Faults ◽  
Set Up

The purpose of this paper is to show a novel fault-tolerant tracking control (FTC) strategy with robust fault estimation and compensating for simultaneous actuator sensor faults. Based on the framework of fault-tolerant control, developing an FTC design method for wind turbines is a challenge and, thus, they can tolerate simultaneous pitch actuator and pitch sensor faults having bounded first time derivatives. The paper’s key contribution is proposing a descriptor sliding mode method, in which for establishing a novel augmented descriptor system, with which we can estimate the state of system and reconstruct fault by designing descriptor sliding mode observer, the paper introduces an auxiliary descriptor state vector composed by a system state vector, actuator fault vector, and sensor fault vector. By the optimized method of LMI, the conditions for stability that estimated error dynamics are set up to promote the determination of the parameters designed. With this estimation, and designing a fault-tolerant controller, the system’s stability can be maintained. The effectiveness of the design strategy is verified by implementing the controller in the National Renewable Energy Laboratory’s 5-MW nonlinear, high-fidelity wind turbine model (FAST) and simulating it in MATLAB/Simulink.

scholarly journals Novel Approach of Robust Hinf Tracking Control for Uncertain Fuzzy Descriptor Systems Using Parametric Lyapunov Function

2020 ◽  
Vol 36 (1) ◽  
pp. 69-88
Author(s):  
Ho Pham Huy Anh ◽  
Cao Van Kien
Keyword(s):  
Lyapunov Function ◽  
Fuzzy System ◽  
Controller Design ◽  
Descriptor Systems ◽  
Descriptor System ◽  
System A ◽  
Novel Approach ◽  
Special Cases ◽  
Nonlinear Mechanical ◽  
Nonlinear Mechanical Systems

This paper proposes a novel uncertain fuzzy descriptor system which is an extension from standard T-S fuzzy system. A fixed Lyapunov function-based approach is considered and controller design for this rich class of fuzzy descriptor systems is formulated as a problem of solving a set of LMIs. The design conditions for the descriptor fuzzy system are more complicated than the standard state-space-based systems. However, the descriptor fuzzy system-based approach has the advantage of possessing fewer number of matrix inequality conditions for certain special cases. Hence, it is suitable for complex systems represented in descriptor form which is often observed in nonlinear mechanical systems.

scholarly journals SpecificD-Admissibility and Design Issues for Uncertain Descriptor Systems with Parametric Uncertainty in the Derivative Matrix

2016 ◽  
Vol 2016 ◽  
pp. 1-12
Author(s):  
Chih-Peng Huang
Keyword(s):  
Controller Design ◽  
State Space Model ◽  
Parametric Uncertainty ◽  
Descriptor Systems ◽  
Descriptor System ◽  
Linear Matrix ◽  
Closed Loop Systems ◽  
Derivative Matrix ◽  
Feasible Solutions ◽  
Necessary And Sufficient

Stability analysis issues and controller synthesis for descriptor systems with parametric uncertainty in the derivative matrix are discussed in this paper. The proposed descriptor system can extend the system’s modeling extent of physical and engineering systems from the traditional state-space model. First, based on the extendedD-stability definitions for the descriptor model, necessary and sufficient admissibility andD-admissibility conditions for the unforced nominal descriptor system are derived and formulated by compact forms with strict linear matrix inequality (LMI) manner. In contrast, existing results need to involve nonstrict LMIs, which cannot be evaluated by current LMI solvers and need some extra treatments. Deducing from the obtained distinct results, the roust admissibility andD-admissibility of the descriptor system with uncertainties in both the derivative matrix and the system’s matrices thus can be coped. Furthermore, by involving a proportional and derivative state feedback (PDSF) control law, we further address the controller design for the resulting closed-loop systems. Since all the proposed criteria are explicitly expressed in terms of the strict LMIs, we can use applicable LMI solvers for evaluating the feasible solutions. Finally, the efficiency and practicability of the proposed approach are demonstrated by two illustrative examples.

scholarly journals Robust multisensor fault tolerant model-following MPC design for constrained systems

2012 ◽  
Vol 22 (1) ◽  
pp. 211-223 ◽  
Author(s):  
Alain Yetendje ◽  
Maria Seron ◽  
José De Doná
Keyword(s):  
Closed Loop ◽  
Active Fault ◽  
Fault Tolerant ◽  
Constrained Systems ◽  
Control Law ◽  
Sensor Faults ◽  
Output Feedback Controller ◽  
Model Following ◽  
Bounded State ◽  
Free Case

Robust multisensor fault tolerant model-following MPC design for constrained systemsIn this paper, a robust fault-tolerant control strategy for constrained multisensor linear systems, subject to sensor faults and in the presence of bounded state and output disturbances, is proposed. The scheme verifies that, for each sensors-estimator combination, suitable residual variables lie inside pre-computed sets and selects a more appropriate combination based on a chosen criterion. An active fault tolerant output feedback controller yields an MPC-based control law and, by means of the notion of a "tube" of trajectories, we ensure robust closed-loop exponential stability and good performance in the fault-free case and under the occurrence of abrupt sensor faults.

Optimal Control Design for Nonlinear Systems with Disturbances

2011 ◽  
Vol 130-134 ◽  
pp. 3672-3676
Author(s):  
De Zhi Zhan
Keyword(s):  
Optimal Control ◽  
Nonlinear Systems ◽  
Controller Design ◽  
Infinite Horizon ◽  
Control Design ◽  
Original System ◽  
Optimal Controller ◽  
Augmented System ◽  
Performance Indexes ◽  
Quadratic Performance

This paper considers the optimal control design problem for nonlinear systems with composite disturbances. First, the original system is transformed into an augmented system without disturbances. Then with respect to the quadratic performance indexes of infinite horizon, we design an optimal controller for the augmented plant without disturbances. Thus the disturbances can unfold of the signal through the Taylor series for the form of polynomial function of time, and obtain optimal controller design approach to eliminate the general disturbance. Finally, a practical example is given to illustrate the effectiveness of the theory.

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