by jro
6m715u
Volume 12 number 2
Pages: 118-130
Regulao robusta de trfego em linhas de metr
Silvino S. Corra*, Baslio E. A. Milani**
| Resumo: | Este artigo trata do problema de regulao robusta de trfego em linhas de metr, considerando de forma explcita as incertezas do modelo de trfego e as limitaes sobre suas variveis de estado e controle. assumido que os limites sobre as variveis do modelo so definidos por poliedros convexos fechados simtricos e o domnio dos parmetros incertos definido pelos pontos extremos de um poliedro convexo compacto. Para soluo do problema de regulao, so propostas duas abordagens: Regulao Robusta com Restries, que fornece uma lei de controle linear invariante no tempo e Regulao tima Minimax com Restries, que fornece uma lei de controle no linear calculada em tempo real. Em ambos os casos, explorando propriedades estruturais do modelo de trfego, mostrado que a lei de controle tem a forma de realimentao de estados com estrutura bi-diagonal, sendo facilmente obtida da soluo de pequenos problemas de programao linear. Os resultados obtidos so aplicveis s linhas de metr atuais. |
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| Abstract: | Robust traffic regulation of metro lines This paper is concerned with the problem of robust traffic regulation of metro lines, considering explicitly the traffic model uncertainties and limits on its variables. It is assumed that limits on model variables are defined by symmetrical convex closed polyhedra and that uncertain parameters domain is defined by the extreme points of a convex compact polyhedron. Two approaches are proposed for solution of the regulation problem: Robust Constrained Regulation giving a linear time-invariant control law and Constrained Minimax Optimal Regulation giving a nonlinear control law computed in real-time. In both cases, exploring structural properties of traffic model, it is showed that the control law has a state form with bi-diagonal structure, being easily obtained solving small linear programming problems. The results are applicable to nowadays metro lines. |
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