We study the stabilization problem in the space L-2(0, 1) for a class of parabolic PDEs of the reaction-diffusion type equipped with destabilizing Robin-type boundary conditions. The considered class of PDEs is also affected by a matching boundary disturbance with an a-priori known constant upperbound to its magnitude. The problem is solved by means of a suitable synergic combination between the infinite-dimensional backstepping methodology and the sliding mode control approach. A constructive Lyapunov analysis supports the presented synthesis, and simulation results validate the developed technique.
Sliding-mode boundary control of a class of perturbed reaction-diffusion processes
Baccoli A.;Pisano A.;Usai E.
2015-01-01
Abstract
We study the stabilization problem in the space L-2(0, 1) for a class of parabolic PDEs of the reaction-diffusion type equipped with destabilizing Robin-type boundary conditions. The considered class of PDEs is also affected by a matching boundary disturbance with an a-priori known constant upperbound to its magnitude. The problem is solved by means of a suitable synergic combination between the infinite-dimensional backstepping methodology and the sliding mode control approach. A constructive Lyapunov analysis supports the presented synthesis, and simulation results validate the developed technique.
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