Balanced Realization for State Space Identification and Optimal Output Regulation

W. Fred Ramirez, Jan M. Maciejowski

Abstract

This paper presents a new input-output approach for the optimal regulatory control of systems based upon balanced state realization. State space identification is achieved using input-output data and a balanced realization algorithm. Based upon the realized model, an optimal controller design is presented to regulate the system outputs at desired levels. The optimal control algorithm is model predictive in that predictions are made based upon measured disturbances. It also compensates for unmeasured disturbances through integral state feedback. This control concept is tested using a continuous stirred tank chemical reactor system.