This paper illustrates a general synthesis methodology of asymptotic stabilizing, energy-based, boundary control laws that are applicable to a large class of distributed port-Hamiltonian systems. The methodological results are applied on a simplified model of an isothermal tubular reactor. Due to the presence of diffusion and convection, such example, even if relatively easy from a computational point of view, is not trivial. The idea here is to design a state feedback law able to perform the energy-shaping task, i.e. able to render the closed-loop system a port-Hamiltonian system with the same structure, but characterized by a new Hamiltonian with a unique and isolated minimum at the equilibrium. Asymptotic stability is then obtained via damping injection on the boundary and is a consequence of the LaSalle’s Invariance Principle in infinite dimensions.
Boundary energy-shaping control of an isothermal tubular reactor / Macchelli, Alessandro; Le Gorrec, Yann; Ramírez, Héctor. - In: MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS. - ISSN 1387-3954. - STAMPA. - 23:1(2017), pp. 77-88. [10.1080/13873954.2016.1232282]
Boundary energy-shaping control of an isothermal tubular reactor
MACCHELLI, ALESSANDRO;
2017
Abstract
This paper illustrates a general synthesis methodology of asymptotic stabilizing, energy-based, boundary control laws that are applicable to a large class of distributed port-Hamiltonian systems. The methodological results are applied on a simplified model of an isothermal tubular reactor. Due to the presence of diffusion and convection, such example, even if relatively easy from a computational point of view, is not trivial. The idea here is to design a state feedback law able to perform the energy-shaping task, i.e. able to render the closed-loop system a port-Hamiltonian system with the same structure, but characterized by a new Hamiltonian with a unique and isolated minimum at the equilibrium. Asymptotic stability is then obtained via damping injection on the boundary and is a consequence of the LaSalle’s Invariance Principle in infinite dimensions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.