scholarly journals H∞/H− Simultaneous fault detection and control for continuous-time linear switched delay systems under asynchronous switching

2018 ◽  
Vol 41 (1) ◽  
pp. 263-275 ◽  
Author(s):  
Hossein Shokouhi-Nejad ◽  
Amir Rikhtehgar Ghiasi ◽  
Mohammad Ali Badamchizadeh ◽  
Saeed Pezeshki
Keyword(s):  
Fault Detection ◽  
Continuous Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Delay Systems ◽  
Linear Matrix ◽  
Asynchronous Switching ◽  
State Delay ◽  
Performance Indexes ◽  
And Control

In this paper, the problem of simultaneous fault detection and control for continuous-time switched state-delay systems under asynchronous switching is investigated. The aim is to design a detector/controller unit where the detector is an observer and the controller is an observer-based controller. Based on the average dwell time approach, a new method is proposed where both stability and fault detection are considered, simultaneously, through certain performance indexes. This problem is formulated as a mixed H∞/ H− problem and its solution leads to new sufficient conditions in the form of linear matrix inequality feasibility conditions. The effectiveness of the design technique is illustrated via an example.

Simultaneous Fault Detection and Control Design for Switched Linear Systems: A Linear Matrix Inequality Approach

2012 ◽  
Vol 134 (6) ◽  
Author(s):  
M. R. Davoodi ◽  
A. Golabi ◽  
H. A. Talebi ◽  
H. R. Momeni
Keyword(s):  
Fault Detection ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Conservative Approach ◽  
Matrix Inequalities ◽  
Linear Matrix Inequality Approach ◽  
And Control ◽  
Selection Of

In this paper, the problem of simultaneous fault detection and control (SFDC) for linear switched systems in discrete- and continuous-time cases under a mixed H−/H∞ framework is considered. In essence, a single unit called detector/controller is designed, where the detector is an observer and the controller is an observer-based controller. The conventional mixed H−/H∞ problem is a conservative approach due to the selection of equal Lyapunov matrices. Extended linear matrix inequalities (LMIs) characterizations are used to reduce the conservativeness by the introduction of additional matrix variables, so as to eliminate the coupling of Lyapunov matrices with the system matrices. Indeed, the idea presented in this paper is based on the average dwell time (ADT) and conservatism reduction approaches, which lead to some sufficient conditions for solving the problem in terms of LMI feasibility conditions. Two examples are provided to demonstrate the effectiveness of the proposed method.

Simultaneous Fault Detection and Control for Continuous-Time Switched T-S Fuzzy Systems with State Jumps

2021 ◽  
Author(s):  
Ayyoub Ait Ladel ◽  
Abdellah Benzaouia ◽  
Rachid Outbib ◽  
Mustapha Ouladsine
Keyword(s):  
Fault Detection ◽  
Fuzzy Systems ◽  
Degrees Of Freedom ◽  
Average Dwell Time ◽  
Single Step ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Robust Detection ◽  
And Control ◽  
Detector Design

Abstract This paper addresses the simultaneous fault detection and control (SFDC) issue for switched T-S fuzzy systems with state jumps. The main objective is to design robust detection filters and observer-based controllers to stabilize this system class and, at the same time, detect the presence of faults. Less conservative stability conditions are developed, applying the mode-dependent average dwell time (MDADT) concept, the robust H_{\infty} approach, and the piecewise Lyapunov function (PLF) technique. Based on these conditions, the integrated controller and detector design is formalized in the form of linear matrix inequalities (LMI) instead of bilinear matrix inequalities (BMI). The proposed LMIs determine the controller/ detector gains simultaneously in a single step, thus offering more degrees of freedom in the design. Finally, a numerical example and two real systems examples are studied to prove the applicability and effectiveness of the obtained results.

scholarly journals Robust Stability of Switched Delay Systems with Average Dwell Time under Asynchronous Switching

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
Jun Cheng ◽  
Hong Zhu ◽  
Shouming Zhong ◽  
Yuping Zhang
Keyword(s):  
Exponential Stability ◽  
Robust Stability ◽  
Integral Inequality ◽  
Global Exponential Stability ◽  
Dwell Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Delay Systems ◽  
Asynchronous Switching ◽  
Average Dwell Time Method

The problem of robust stability of switched delay systems with average dwell time under asynchronous switching is investigated. By taking advantage of the average dwell-time method and an integral inequality, two sufficient conditions are developed to guarantee the global exponential stability of the considered switched system. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed techniques.

scholarly journals Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Yongzhao Wang
Keyword(s):  
Switched Systems ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Schur Complement ◽  
Exponential Stabilization ◽  
Linear Matrix ◽  
Mixed Delays ◽  
Asynchronous Switching ◽  
Nonlinear Switched Systems ◽  
Switched Nonlinear System

This paper deals with the exponential stabilization problem for a class of nonlinear switched systems with mixed delays under asynchronous switching. The switching signal of the switched controller involves delay, which results in the asynchronous switching between the candidate controllers and subsystems. By constructing the parameter-dependent Lyapunov-Krasovskii functional and the average dwell time approach, some sufficient conditions in forms of linear matrix inequalities are presented to ensure the exponential stability of the switched nonlinear system under arbitrary switching signals. In addition, through the special deformation of the matrix and Schur complement, the controllers with asynchronous switching are designed. Finally, a numerical example and a practical example of river pollution control are provided to show the validity and potential of the developed results.

scholarly journals An MDADT-Based Approach forL2-Gain Analysis of Discrete-Time Switched Delay Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Honglei Xu ◽  
Xiang Xie ◽  
Lilian Shi
Keyword(s):  
Discrete Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Functional Method ◽  
Delay Systems ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Analysis Problem ◽  
Lyapunov Functional Method ◽  
Multiple Lyapunov Functional

We study theL2-gain analysis problem for a class of discrete-time switched systems with time-varying delays. A mode-dependent average dwell time (MDADT) approach is applied to analyze theL2-gain performance for these discrete-time switched delay systems. Combining a multiple Lyapunov functional method with the MDADT approach, sufficient conditions expressed in form of a set of feasible linear matrix inequalities (LMIs) are established to guarantee theL2-gain performance. Finally, a numerical example will be provided to demonstrate the validity and usefulness of the obtained results.

scholarly journals Stability Analysis andH∞Model Reduction for Switched Discrete-Time Time-Delay Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-15 ◽  
Author(s):  
Zheng-Fan Liu ◽  
Chen-Xiao Cai ◽  
Wen-Yong Duan
Keyword(s):  
Exponential Stability ◽  
Model Reduction ◽  
Discrete Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Delay Systems ◽  
Linear Matrix ◽  
Error Performance ◽  
Time Varying Delay ◽  
Exponentially Stable

This paper is concerned with the problem of exponential stability andH∞model reduction of a class of switched discrete-time systems with state time-varying delay. Some subsystems can be unstable. Based on the average dwell time technique and Lyapunov-Krasovskii functional (LKF) approach, sufficient conditions for exponential stability withH∞performance of such systems are derived in terms of linear matrix inequalities (LMIs). For the high-order systems, sufficient conditions for the existence of reduced-order model are derived in terms of LMIs. Moreover, the error system is guaranteed to be exponentially stable and anH∞error performance is guaranteed. Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results.

scholarly journals Fault Detection for Wireless Networked Control Systems with Stochastic Switching Topology and Time Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-13
Author(s):  
Pengfei Guo ◽  
Jie Zhang ◽  
Hamid Reza Karimi ◽  
Yurong Liu ◽  
Yunji Wang ◽  
...  
Keyword(s):  
Time Delay ◽  
Fault Detection ◽  
Control Systems ◽  
Networked Control Systems ◽  
Sufficient Conditions ◽  
Networked Control ◽  
Delay Systems ◽  
Switching Topology ◽  
Linear Matrix ◽  
System States

This paper deals with the fault detection problem for a class of discrete-time wireless networked control systems described by switching topology with uncertainties and disturbances. System states of each individual node are affected not only by its own measurements, but also by other nodes’ measurements according to a certain network topology. As the topology of system can be switched in a stochastic way, we aim to designH∞fault detection observers for nodes in the dynamic time-delay systems. By using the Lyapunov method and stochastic analysis techniques, sufficient conditions are acquired to guarantee the existence of the filters satisfying theH∞performance constraint, and observer gains are derived by solving linear matrix inequalities. Finally, an illustrated example is provided to verify the effectiveness of the theoretical results.

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