Constrained Feedback Stabilization for Bilinear Parabolic Systems
نویسندگان
چکیده
منابع مشابه
Stabilization of bilinear systems by a linear feedback control
In recent years, there has been considerable interest in bilinear systems [1, 2, 3] as appropriate mathematical model to represent the dynamical behaviour for a wide class of the engineering, biological, and economic systems. Recently many studies of the bilinear systems have been done from various points of view, e.g. controllability or observability, and a lot of problems connected with the o...
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A standard finite dimensional nonlinear control system is considered, along with a state constraint set S and a target set Σ. It is proven that open loop S-constrained controllability to Σ implies closed loop Sconstrained controllability to the closed δ-neighborhood of Σ, for any specified δ > 0. When the target set Σ satisfies a small time S-constrained controllability condition, conclusions o...
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Recently, the question of regional stabilization for infinite-dimensional linear systems has been tackled and developed by Zerrik and Ouzahra (2003a). It consists in studying the asymptotic behaviour of a distributed system only within a subregion of its evolution domain . This notion includes the classical one and enables us to analyse the behaviour of a distributed system in any subregion of ...
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In this paper, we propose a feedback control for a class of bilinear systems. Based on the Bellman-Gronwall inequality, the exponentially stable periodic solutions or limit cycles, appearing as an ellipsoid in the phase plane, are guaranteed. Moreover, the frequency of oscillation and convergence rate can be correctly estimated for such bilinear control systems. Finally, a numerical example is ...
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here the state space H is a real Hilbert with inner product <, > and corresponding norm ‖ ‖, A generates a strongly ontinuous semigroup of contractions (S(t))t≥0 on H and B is an unbounded linear operator from H to a Banach xtension X of H with a continuous injection H ↪→ X, so that ‖By ‖ X≤ M ‖ y ‖ , ∀ y ∈ H, for some M > 0. This is the ase, when for example the control is exercised over the b...
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ژورنال
عنوان ژورنال: Intelligent Control and Automation
سال: 2015
ISSN: 2153-0653,2153-0661
DOI: 10.4236/ica.2015.62011