Interval observer-based finite-time control for linear parameter-varying systems

2021 ◽  
Vol 411 ◽  
pp. 126478
Author(s):  
Tu Zhang ◽  
Liwei Li ◽  
Mouquan Shen
Keyword(s):  
Finite Time ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Linear Parameter Varying Systems ◽  
Time Control ◽  
Parameter Varying ◽  
Interval Observer

scholarly journals Asynchronous finite-time control for networked switched linear parameter-varying systems via an event-triggered communication scheme

2018 ◽  
Vol 233 (1) ◽  
pp. 44-57
Author(s):  
Hangli Ren ◽  
Guangdeng Zong
Keyword(s):  
Finite Time ◽  
Sufficient Conditions ◽  
Linear Parameter ◽  
Input Output ◽  
Linear Parameter Varying ◽  
Linear Parameter Varying Systems ◽  
Time Control ◽  
Communication Scheme ◽  
Parameter Varying ◽  
Event Triggered

This article addresses the finite-time control problem for a class of switched linear parameter-varying systems via an event-triggered communication scheme. Different from the existing finite-time problems, not only the problem of finite-time boundedness but also the problem of input-output finite-time stability is considered in this article. Using an asynchronous switching scheme, sufficient conditions are established to guarantee the event-based closed-loop systems are both finite-time bounded and input-output finite-time stable. Then, a parameter-dependent asynchronous controller is designed by solving a set of linear matrix inequalities. Finally, a numerical example is presented to show the effectiveness of the result.

Interval observer-based methodology for passive fault tolerant control of linear parameter-varying systems

2021 ◽  
pp. 014233122110403
Author(s):  
Rihab Lamouchi ◽  
Tarek Raissi ◽  
Messaoud Amairi ◽  
Mohamed Aoun
Keyword(s):  
Fault Tolerant ◽  
Sufficient Conditions ◽  
Fault Tolerant Control ◽  
System Stability ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Linear Parameter Varying Systems ◽  
Parameter Varying ◽  
Interval Observer ◽  
Component Faults

The paper deals with passive fault tolerant control for linear parameter varying systems subject to component faults. Under the assumption that the faults magnitudes are considered unknown but bounded, a novel methodology is proposed using interval observer with an [Formula: see text] formalism to attenuate the effects of the uncertainties and to improve the accuracy of the proposed observer. The necessary and sufficient conditions of the control system stability are developed in terms of matrix inequalities constraints using Lyapunov stability theory. Based on a linear state feedback, a fault tolerant control strategy is designed to handle component faults effect as well as external disturbances and preserve the system closed-loop stability for both fault-free and component faulty cases. Two simulation examples are presented to demonstrate the effectiveness of the proposed method.

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