Feedback control of nonlinear differential‐algebraic‐equation systems

Abstract

Abstract The output feedback control problem is addressed for a class of nonlinear multivariable high‐index differential‐algebraic‐equation systems in semiexplicit form. Initially, an algorithmic procedure is developed and used to derive an equivalent state‐space relization of the constrained system. An output feedback synthesis problem is then formulated on the basis of the derived state‐space realization and solved through the combination of state feedback and appropriate state observers. The developed methodology is applied to a two‐phase reactor, and its performance and robustness characteristics are evaluated through simulations.