Sequential Geometric Programming Method for Parameter Estimation of a Nonlinear System in Microbial Continuous Fermentation

Algorithm 2

Modified SGP algorithm.

	Step 0. Choose the initial values , , , , and () of optimization variables , , , , and . Given the solution accuracy and initial weighting coefficient , select (). Set .
	Step 1. For the given , , , , and (), construct the monomials and (, ) using (52).
	Step 2. Solve problem (54)-(55) to attain , , , , and () with the weighting coefficient .
	Step 3. If , then go to Step 4. Else, go to Step 5.
	Step 4. Choose with . Set and continue from Step 1.
	Step 5. Set , and go to Step 6.
	Step 6. For the given , , , , and (), construct the monomials and (, ) using (52).
	Step 7. Solve problem (56)-(57) to attain , , , , and () with the weighting coefficient .
	Step 8. If , then stop. Else, go to Step 9.
	Step 9. Choose with . Set and continue from Step 6.