Controller design by time-domain objective functions using cuckoo search

Abstract

In this research, a new optimization algorithm, called the cuckoo search algorithm, is introduced for design controller. A large proportion of industrial systems are represented by linear time-invariant transfer functions. The proportional-integral-derivative (PID) controller is one of the most widely used functions. The lead-lag controller is a more practical alternative. Traditionally, time-domain or frequency-domain methods have been used to design a lead-lag controller to design specifications. This chapter focused on the design of controller both PID and lead-lag controller, by optimization of the time-domain objective function. The proposed objective function includes time-domain specifications, including the rise time, peak time, maximum overshoot, setting time, and steady- state error. In the chapter, Cuckoo Search algorithm is chosen to finding the optimal solutions. Cuckoo Search is metaheuristic optimization method recently developed. That is a type of population-based algorithm inspired by the behavior of some Cuckoo species in combination with the Lévy flight behavior. Given that the plant is modeled according to a linear time-invariant transfer function, the proposed method designs the controller capable of approaching the specifications.