In this paper, the design of fractional-order PID controller is considered in order to minimize certain performance indices such as integral absolute error, integral square error and integral time absolute error. The design-construction leads to a high-dimensional, multi-modal, complex optimization problem which is difficult to solve analytically. We show that it can be solved heuristically using an artificial bee colony (ABC) algorithm, which is a recently emerged 'stochastic' technique inspired from the intelligent foraging behavior of honey bee swarm. For the numerical examples under consideration, we further compare the performance of ABC with a 'deterministic' Nelder-Mead simplex algorithm.
A mixed method for reducing a higher order uncertain system to a stable reduced order one is proposed. Interval arithmetic is used to construct a generalized Routh table for determining the denominator polynomial of the reduced system. The reduced numerator polynomial is obtained using factor division method and the steady state error is minimized using gain correction factor. The proposed method is illustrated using a numerical example
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.