摘要：AbstractA production system which produces plenty of items in many steps can be modelled as a continuous flow problem governed by a nonlinear and nonlocal hyperbolic partial differential equation. One way to adjust the output of such process is by manipulating the start rate. This paper considers the control and regulation by proportional-integral (PI) controllers for the continuum production systems. In the considered system, the input and output are located at the boundary of production system. In particular, the closed-loop stability of the linearized continuum production model with the designed PI-controller is proved using spectral analysis and Lyapunov theory. Numerical results demonstrate successful tracking for step inputs in the demand rate.
关键词：KeywordsOptimal state estimationInequality constraintsLinear time-invariant system
