Optimal robust digital control of systems with uncertainty

In this paper, an approach of designing optimal controllers for minimal overshoot and undershoot within specific settling time and decreasing rate is presented for SISO discrete-time systems. Utilizing the linear programming the optimal controllers are achieved conveniently when the zeros and poles inside or on the unit disc and the specific input signal are known previously. Also, the unity of optimal dynamic performance indexes and the robust stability has the design method of this controller satisfy the condition for industrial application. A model for a mixer in paper-making process is tackled via the design method and the closed-loop system enjoys the optimal time domain performance.