Title :
Decentralized H∞ control for air traffic flow networks modeled by a class of compartmental systems
Author :
Li, Ping ; Lam, James
Author_Institution :
Dept. of Mech. Eng., Univ. of Hong Kong, Hong Kong, China
Abstract :
In this paper, we study the decentralized H∞ control problem for air traffic flow (ATF) networks. By dividing the airspace into a number of interconnected regions, we first characterize the traffic flow dynamics by means of a compartmental system approach, and formulate the ATF control problem in a decentralized way, where the controller gain matrix is required to be diagonal and element-restricted. To solve the problem, a novel characterization is presented to ensure that the closed-loop system is asymptotically stable with a prescribed H∞ performance. Then, a necessary and sufficient condition for the existence of a required controller is proposed and an iterative linear matrix inequality approach is further developed to solve the design condition. Finally, a simple ATF network is used to show the applicability of the obtained results.
Keywords :
H∞ control; air traffic control; asymptotic stability; closed loop systems; linear matrix inequalities; ATF control problem; H∞ control; air traffic flow network; asymptotically stable; closed loop system; gain matrix; iterative linear matrix inequality;
Conference_Titel :
Systems and Control in Aeronautics and Astronautics (ISSCAA), 2010 3rd International Symposium on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-6043-4
Electronic_ISBN :
978-1-4244-7505-6
DOI :
10.1109/ISSCAA.2010.5632506