Constrained H∞ control of urban transportation network |
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| Authors: | Huide Zhou Rachid Bouyekhf Adbellah EL Moudni |
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| Affiliation: | Laboratoire Systèmes et Transports (SeT), Université de Technologie de Belfort‐Montbéliard (UTBM), Belfort Cedex, France |
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| Abstract: | Because transportation systems involve massive complex human activities, there exist substantial unpredictable uncertainties of the traffic demands. This paper aims at presenting an H∞ control method for transportation network that can enhance the tolerance of the system due to these uncertainties. In particular, the store‐and‐forward approach is applied to model the system into a linear form. Then, a detailed controllability analysis shows that the system is not completely controllable by taking the constraints on the green times into account. This makes difficult to apply directly the H∞ method. To overcome this difficulty, this paper isolates the fully controllable part of the transportation system, and the problem of disturbance attenuation is then solved by means of a convex optimization with linear matrix inequality. Finally, the simulation of a large‐scale hypothetical network is carried out to illustrate the results. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | urban transportation network controllability constrained H∞ control LMI |
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