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A dynamic output feedback controller design approach based on cone complementary linearisafion procedure is proposed for linear time-invariant(LTI)systems with actuator saturation.First.the estimation of the domain of attraction is given.Then.a design method to find a larger estimation of the domain of attraction is presented.In the process of design,nonconvex conditions are obtained, so a cone complementary linearisation procedure is exploited to solve the nonconvex feasibility problem.Two examples are given to illustrate the efficiency of the design method.