Two-level feedback control for interconnected distributed parameter systems of first order

A decentralized optimal regulator problem is studied for a set of interconnected distributed subsystems described by linear symmetric hyperbolic equations of first order. Coupling is provided through boundary conditions. Long tubular reactors divided into sections with zonal or pointwise controls can be examples of such plants. Then subsystems are meant as sections of the reactor. The overall quadratic optimization problem is decomposed into two levels using the infeasible method. Matrix gain coefficients of first level regulators are characterized by Riccati integro-differential equations. Coordination variables can be adjusted at the second level using the gradient technique.