Displaying similar documents to “Well-posedness and sliding mode control”

Receding horizon optimal control for infinite dimensional systems

Kazufumi Ito, Karl Kunisch (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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The receding horizon control strategy for dynamical systems posed in infinite dimensional spaces is analysed. Its stabilising property is verified provided control Lyapunov functionals are used as terminal penalty functions. For closed loop dissipative systems the terminal penalty can be chosen as quadratic functional. Applications to the Navier–Stokes equations, semilinear wave equations and reaction diffusion systems are given.

Well-posedness and sliding mode control

Tullio Zolezzi (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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Sliding mode control of ordinary differential equations is considered. A key robustness property, called approximability, is studied from an optimization point of view. It is proved that Tikhonov well-posedness of a suitably defined optimization problem is intimately related to approximability. Making use of this link, new approximability criteria are obtained for nonlinear sliding mode control systems.

Asymptotics of accessibility sets along an abnormal trajectory

Emmanuel Trélat (2001)

ESAIM: Control, Optimisation and Calculus of Variations

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We describe precisely, under generic conditions, the contact of the accessibility set at time T with an abnormal direction, first for a single-input affine control system with constraint on the control, and then as an application for a sub-riemannian system of rank 2. As a consequence we obtain in sub-riemannian geometry a new splitting-up of the sphere near an abnormal minimizer γ into two sectors, bordered by the first Pontryagin’s cone along γ , called the L ∞ -sector and the L 2 -sector....

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Czesław Olech, Bronisław Jakubczyk, Jerzy Zabczyk (1985)

Banach Center Publications

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