multiple lyapunov functional
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Author(s):  
Abdellah Benzaouia ◽  
Kenza Telbissi

This paper presents a new approach of actuator fault estimation (FE) for discrete-time switched systems against unknown disturbance. The proposed FE approach uses a new switching observer methodology, which allows to obtain fast and exact fault information. Sufficient conditions are achieved by using multiple Lyapunov functional. These conditions are manipulated in a simple way in order to obtain a new linear matrix inequality (LMI) with slack variables and observer gains matrices. Finally, two illustrative examples are performed to prove the effectiveness of the proposed method.


2018 ◽  
Vol 40 (16) ◽  
pp. 4330-4344 ◽  
Author(s):  
Haoyu Cheng ◽  
Wenxing Fu ◽  
Chaoyang Dong ◽  
Qing Wang ◽  
Yanze Hou

This paper investigates the problem of asynchronously finite-time H∞ control for morphing aircraft with controller uncertainties. Based on the switched linear parameter-varying model of morphing aircraft, the inherent packet dropouts of system are taken into consideration, which will lead to asynchronous switching. The asynchronous switching means that the switching of controllers will lag behind the switching of corresponding subsystem. Moreover, in order to overcome the undesirable influence of controller uncertainties and guarantee that the corresponding closed-loop system is finite-time bounded with a specified H∞ performance index, the non-fragile finite-time H∞ controller is developed via asynchronously switched control. For the purpose of less conservative controller design, the finite-time robust stability analysis of the system is verified by combining mode-dependent average dwell time method and multiple Lyapunov functional method. The sufficient existing conditions and solutions of the controllers are found by solving a series of linear matrix inequalities. Finally, the method proposed in this paper is demonstrated by an illustrative numerical example.


2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Honglei Xu ◽  
Xiang Xie ◽  
Lilian Shi

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.


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