Nonlinear control methods for a class of differential-algebraic systems

The problem of control methods is considered for a class of nonlinear differential-algebraic systems. Relations of M-derivative method and L-derivative method are discussed, and consistence of two methods is obtained. Local exact linearization and disturbance decoupling problems are studied also. A conditions under which the systems can realized local exact linearization and disturbance decoupling are given, and a feedback control laws are constructed in which the corresponding closed-loop systems can be realized local exact linearization and disturbance decoupling.