scholarly journals L∞Control with Finite-Time Stability for Switched Systems under Asynchronous Switching

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Ronghao Wang ◽  
Jianchun Xing ◽  
Ping Wang ◽  
Qiliang Yang ◽  
Zhengrong Xiang
Keyword(s):  
Finite Time ◽  
Switched Systems ◽  
Controller Design ◽  
Average Dwell Time ◽  
Switched System ◽  
Asynchronous Switching ◽  
Time Stability ◽  
Switching Law ◽  
Finite Time Stability ◽  
Exogenous Disturbances

This paper is concerned with the problem of controller design for switched systems under asynchronous switching with exogenous disturbances. The attention is focused on designing the feedback controller that guarantees the finite-time bounded andL∞finite-time stability of the dynamic system. Firstly, when there exists asynchronous switching between the controller and the system, a sufficient condition for the existence of stabilizing switching law for the addressed switched system is derived. It is proved that the switched system is finite-time stabilizable under asynchronous switching satisfying the average dwell-time condition. Furthermore, the problem ofL∞control for switched systems under asynchronous switching is also investigated. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

Finite-time stability and finite-time boundedness of fractional order switched systems

2019 ◽  
Vol 41 (12) ◽  
pp. 3364-3371 ◽  
Author(s):  
Jinxia Liang ◽  
Baowei Wu ◽  
Lili Liu ◽  
Yue-E Wang ◽  
Changtao Li
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Switched Systems ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Functional Method ◽  
Linear Matrix ◽  
Time Stability ◽  
Finite Time Stability ◽  
Finite Time Boundedness

Finite-time stability and finite-time boundedness of fractional order switched systems with [Formula: see text] are investigated in this paper. First of all, by employing the average dwell time technique and Lyapunov functional method, some sufficient conditions for finite-time stability and finite-time boundedness of fractional order switched systems are proposed. Furthermore, the state feedback controllers are constructed, and sufficient conditions are given to ensure that the corresponding closed-loop systems are finite-time stable and finite-time bounded. These conditions can be easily obtained in terms of linear matrix inequalities. Finally, two numerical examples are given to show the effectiveness of the results.

scholarly journals Finite-Time Formation of Unmanned Aerial Vehicles with Switching Topologies and Disturbances: An Average Dwell Time Approach

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Chao Ma ◽  
Wei Wu
Keyword(s):  
Unmanned Aerial Vehicles ◽  
Finite Time ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Time Stability ◽  
External Disturbances ◽  
Finite Time Stability ◽  
Switching Topologies ◽  
Aerial Vehicles ◽  
Formation Problem

This paper investigates the finite-time formation problem of unmanned aerial vehicles (UAVs) with switching topologies and external disturbances. The formation problem is first transformed into the finite-time stability and bounded problems of a switched system, respectively. In particular, the finite-time unachievable topology is concerned for unreliable information exchanges. By employing the average dwell time (ADT) method, sufficient criteria are established to deal with the switching topologies such that the desired time-varying formation can be achieved in finite time. Then, the topology-dependent controller can be designed in terms of matrix technique. Finally, an illustrative example is given to verify the effectiveness of our proposed formation strategy.

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