An linear matrix inequality approach to simultaneous fault detection and control design for LTI systems

2014 ◽  
Author(s):  
Weijie Liu ◽  
Ying Chen ◽  
Maolin Ni
Keyword(s):  
Fault Detection ◽  
Linear Matrix Inequality ◽  
Control Design ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Linear Matrix Inequality Approach ◽  
And Control

Robust H∞ Output Feedback Control Design for Takagi-Sugeno Systems with Markovian Jumps: A Linear Matrix Inequality Approach

2006 ◽  
Vol 128 (3) ◽  
pp. 617-625 ◽  
Author(s):  
Sing Kiong Nguang ◽  
Peng Shi
Keyword(s):  
Feedback Control ◽  
Linear Matrix Inequality ◽  
Output Feedback ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Control Design ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Linear Matrix Inequality Approach ◽  
Takagi Sugeno

This paper investigates the H∞ output feedback control design for a class of uncertain nonlinear systems with Markovian jumps which can be described by Takagi-Sugeno models. Based on a linear matrix inequality (LMI), LMI-based sufficient conditions for the existence of a robust output feedback controller, such that the L2-gain from an exogenous input to a regulated output is less than or equal to a prescribed value, are derived. An illustrative example is used to demonstrate the effectiveness of the proposed design techniques.

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.

Sign in / Sign up

Export Citation Format

Share Document