Nonlinear Passive Control of a Class of Coupled Partial Differential Equation Models

Resumen: In this work, the stabilization problem of a possible open-loop unstable steady-state for a class of semilinear parabolic partial differential equation models with an averaged measurement and homogeneously distributed control action is addressed. Following notions of passivity-based control for finite-dimensional systems, a feedback passive control is constructed. The combination of Lyapunov and modal techniques gives sufficient conditions to ensure the stability of the closed-loop system by characterizing the zero dynamics behavior in terms of the sensor location and the controller gain. For implementation purposes, an estimator with a pointwise innovation scheme is considered. The performance of the designed controller is shown by numerical simulations.

¿Cómo citar?

H. Franco-de los Reyes, A. Schaum, T. Meurer & J. Alvarez. Nonlinear Passive Control of a Class of Coupled Partial Differential Equation Models. Memorias del Congreso Nacional de Control Automático, pp. 477-482, 2019.

Palabras clave

Sistemas de Parámetros Distribuidos, Control Basado en pasividad, Control de Procesos

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