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This paper deals with the regulation problem of a class of irrigation canals using the Saint-Venant partial differential equations (pde). The Internal Model Boundary Control (IMBC) approach is used and the multireaches case is considered (several reaches in cascade). Perturbation theory of exponential semi-group used for control synthesis is extended here(More)
The authors present a procedure that permits the use of steady-state information to constrain the identification of nonlinear polynomial models. Such a procedure has three main steps. First, a general framework is provided that relates the static function of nonlinear global polynomial models to their terms and parameters. Second, using standard nonlinear(More)
Mechanical responsiveness is essential to all biological systems down to the level of tissues and cells. The intra- and extracellular mechanics of such systems are governed by a series of proteins, such as microtubules, actin, intermediate filaments and collagen. As a general design motif, these proteins self-assemble into helical structures and(More)
In Physics literature, the method of surrogate data has been widely used for testing for the presence of nonlinearity in time series whereas in the Statistical literature, the bootstrap method is the choice for establishing confidence intervals. A new method that combines the bispectrum and the surrogate method and bootstrap is then presented for detecting(More)
This paper deals with the problems of stability analysis and control synthesis with H ∞ performance for the master-slave synchronization of Lur'e systems using a time-delay feedback control. The proposed approach consists in obtaining a new improved H ∞ robust stability criteria as well as a control law based on linear matrix inequalities (LMIs) via(More)
— In this paper an extension of an existing reduced port-controlled hamiltonian (PCH) model for the shallow water equations (PDEs) is first proposed. It aims at a new definition for the passive boundary port-variables which allows the application of a passivity-based approach to control the water flows and levels profiles in irrigation channel reaches. Then(More)