TY - CHAP

T1 - Moth-flame optimization algorithm

T2 - Theory, literature review, and application in optimal nonlinear feedback control design

AU - Mehne, Seyed Hamed Hashemi

AU - Mirjalili, Seyedali

PY - 2020/1/1

Y1 - 2020/1/1

N2 - A direct numerical method for optimal feedback control design of general nonlinear systems is presented in this chapter. The problem is generally infinite dimensional. In order to convert it to a finite dimensional optimization problem, a collocation type method is proposed. The collocation approach is based on approximating the control input function as a series of given base functions with unknown coefficients. Then, the optimal control problem is converted to the problem of finding a finite set of coefficients. To solve the resulting optimization problem, a new nature-inspired optimization paradigm known as Moth Flame Optimizer (MFO) is used. Validation and evaluating of accuracy of the method are performed via implementing it on some well known benchmark problems. Investigations presented in this chapter reveals the efficiency of the method and its benefits with respect to other numerical approaches. The chapter also consideres an in-depth literratur review and analysis of MFO.

AB - A direct numerical method for optimal feedback control design of general nonlinear systems is presented in this chapter. The problem is generally infinite dimensional. In order to convert it to a finite dimensional optimization problem, a collocation type method is proposed. The collocation approach is based on approximating the control input function as a series of given base functions with unknown coefficients. Then, the optimal control problem is converted to the problem of finding a finite set of coefficients. To solve the resulting optimization problem, a new nature-inspired optimization paradigm known as Moth Flame Optimizer (MFO) is used. Validation and evaluating of accuracy of the method are performed via implementing it on some well known benchmark problems. Investigations presented in this chapter reveals the efficiency of the method and its benefits with respect to other numerical approaches. The chapter also consideres an in-depth literratur review and analysis of MFO.

UR - http://www.scopus.com/inward/record.url?scp=85061307015&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-12127-3_9

DO - 10.1007/978-3-030-12127-3_9

M3 - Chapter

AN - SCOPUS:85061307015

T3 - Studies in Computational Intelligence

SP - 143

EP - 166

BT - Studies in Computational Intelligence

PB - Springer Verlag

ER -