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Disturbance decoupling for a class of nonlinear differential-algebraic systems

The problem of disturbance decoupling is considered for a class of nonlinear differential-algebraic systems. By means of M-derivative methods, a coordinate change is introduced such that the control systems can be expressed in a simple form. A sufficient and necessary conditions under which the systems can realize disturbance decoupling are obtained, a feedback control law is constructed in which the corresponding closed-loop systems can be realized disturbance decoupling.