MULTIVARIABLE BOUNDARY PI CONTROL AND REGULATION OF A FLUID FLOW SYSTEM.

The paper is concerned with the control of a uid ow system governed by nonlinear hyperbolic partial differential equations. The control and the output observation are located on the boundary. We study local stability of spatially heterogeneous equilibrium states by using Lyapunov approach. We prove that the linearized system is exponentially stable around each subcritical equilibrium state. A systematic design of proportional and integral controllers is proposed for the system based on the linearized model. Robust stabilization of the closed-loop system is proved by using a spectrum method. [ABSTRACT FROM AUTHOR]