Multiobjective Optimal Control of FOPID Controller for Hydraulic Turbine Governing Systems Based on Reinforced Multiobjective Harris Hawks Optimization Coupling with Hybrid Strategies

Algorithm 1

Pseudocode of HMOHHO algorithm.

	Inputs: Population size N, maximum iterations T and archive size S
	Initialize: Latin hypercube sampling initialize population
	Calculate f1(·) and f2(·)
	Find the non-dominated solutions
	while < T
	if the archive is full
	Crowded area of the archive is deleted by roulette wheel method
	Add new solutions to the archive
	end if
	Select Xrabbit(t) in the archive
	for each hawk
	if abs (E) < 1
	X(t) is updated by (14)
	else
	X(t) is updated by (15)–(24)
	end if
	Xr1 is updated by (27)
	if f(Xr1) dominate f(X(t))
	X(t) = Xr1
	end if
	Xr2 is updated by (28)
	if f(Xr2) dominate f(X(t))
	X(t) = Xr2
	end if
	end for
	Calculate f1(·) and f2(·)
	Find the non-dominated solutions
	=  + 1
	end while
	return archive