Model-based robust guaranteed stability control of stock refining with parameter uncertainties

An approach of uncertain model-based robust guaranteed stability control for stock refining is proposed. A synthetic performance index of optimal control for stock refining with large uncertainties is considered. A modified robust return difference equality is derived. Sufficient conditions to guarantee robust stability and guaranteed stability margins for uncertain systems are presented by solving a resulting robust algebraic matrix inequality including uncertainties. Furthermore, a synthetic design procedure of robust guaranteed stability control system for stock refining is developed. Simulation test results are given to demonstrate the efficiency of the proposed method.