Design of the general multi-capacity inertia standard transfer function

Standard transfer function based design is a kind of simple and practical approach for establishment of the controllers in industrial applications. Based on Binomial Theorem and Hui Yang Triangle, a kind of general multi-capacity inertia(MCI) standard transfer function with the characteristics of non-overshoot and no limit for the system order is proposed. The type of the MCI standard transfer function is demonstrated to be determined via a simple algebraic operation. Dynamic performance simulations on the step and the ramp response have validated the superiority of the proposed standard transfer function. The inherent relation between the inertia time constant and the settling time is also discussed.