Generalized Decoupling and Robust Control of Unstable MIMO System

This paper presents the decoupling and control of the unstable MIMO systems. To design the decoupler for an unstable MIMO system, a state feedback method is adopted to stabilize the unstable MIMO system by placing the poles at the left half of s plane. After that, a decoupler is designed using generalized decoupling method for the stabilized transfer matrix of the MIMO systems. At last, the PID controller is designed for the decoupled MIMO system using Kharitonov’s theorem. A numerical example is considered to test the proposed method in MATLAB/Simulink. The simulation results obtained are found to be satisfactory for the proposed method.

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