This paper introduces a methodology to design quantitative feedback theory (QFT) robust controller for twin rotor multiple input-multiple output (MIMO) system. This approach has been considered in order to assure high control performance of the system. The QFT controller is used to design a simple, low order and robust position control for twin rotor MIMO system. Further the QFT controller is designed to give a robust stability and performance (disturbance rejection, reference tracking) with the presence of system parametric and non-parametric uncertainty. The robust stability and performance analysis has been done with unstructured model.

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The concept of discrete conservation of symplecticity for discretizations of Partial Differential Equations (PDEs) for shallow water wave is presented. This property is Endemic and we express that it also leads to exact discrete conservation of momentum and energy for propagation of shallow water wave. This restricted property is stronger than the global property which that synthesis over all spatial framework points leads to distinct symplectic scheme in the time route. Multi-symplectic integrators are earned for propagation of shallow water wave and investigate conservation property for multi-symplectic integrator. Numerical simulations are also offered.

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