Multireservoir Sewer‐Network Control Via Multivariable Feedback

Abstract

This paper considers the problem of optimal water distribution to several retention reservoirs in an urban sewer network during rainfall. The goal of the control actions is the minimization of overflows and eventually the reduction of their polluting impact on receiving waters. Decomposition of the overall control task into a local‐flow control layer and a global coordinating control layer is assumed. For the global control task, a linear multivariable feedback regulator is developed via a systematic design procedure including a simplified model approach, a quadratic minimization criterion and subsequent application of the linear quadratic optimization method. The proposed control design guidelines facilitate quick and efficient regulator design for a broad class of sewer‐network control problems. A simulation study was performed for a particular network by use of an accurate hydrodynamic simulation model. Simulation results indicate significant overflow reductions achieved by the application of the multivariable controller as compared to fixed local control measures.