This is an implementation of Linear Quadratic Regulator (LQR), Minimum Principle and Model Predictive Control(MPC) to stirred tank mixing process. The repository contains the MATLAB code and a detailed report explaining the implementation. This report was submitted to fulfill the course requirement of the course CHE 694: Optimal Control in the Department of Chemical and Materials Engineering, University of Alberta.
LQR: Contains the implimentation of Linear Quadratic Regulator(Implimentation) with lenearized system equation around a fix steady state.Nonlinear_LQR: Contains the implimentation of LQR with actual non-linear system equations.MINIMUM_PRINCIPLE: Contains the MATLAB code for implimentation of Minimum Principle with actual non-linear system equations with terminal time t_f = 8.MPC: It has two sub-folders, Approch1 - with long prediction horizon and Approch2 - with terminal constraint.
Please refer to Report.pdf for the detailed information.