A new approach for simplification and control of linear time invariant systems

This study presents a new approach for system simplification and control. This approach is based on the behaviour of growth and reproduction of weed plants namely Invasive Weed Optimization (IWO). The micro system/simplified model of large scale single-input single-output (SISO) continuous time system is attained by optimizing a predefined objective/fitness function by weed optimization algorithm. Performance of the proposed approach is analysed in terms of transient and frequency response parameters such as rise time, peak time, maximum overshoot, gain margin and phase margin, etc. This analysis reveals that the results of this proposed approach are commensurable with other available approaches. Additionally, the application of proposed approach is explored in control of a micro system based on system simplification. The control action is obtained by achieving the unknown parameters of the proportional integral derivative (PID) controller using IWO. Further, the concept of error minimization is being utilised to obtain parameters of PID controller. The simulation results reveal that the PID controller designed by proposed approach has no affect on change of the system. The PID controller for a micro system (second order) exhibits satisfactory performance on the first order simplified system, therefore changing the system does not affect the performance of PID controller. As the proposed approach is being utilised for both micro system’s simplification as well as in controller design, therefore it may be applied in various applications of Microsystems’s analysis and design.

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