MATLAB Routines for Optimal Control

This resource provides MATLAB routines for implementing optimal control, which will benefit readers working in this domain. Optimal control is an optimization technique focused on determining operations that maximize system performance metrics under specified constraints. This methodology finds applications across various fields including engineering, economics, and biology. The MATLAB implementation facilitates efficient system design and control for engineers and researchers, thereby enhancing system efficiency and performance. The routines demonstrate practical implementations using key MATLAB functions such as ode45 for system dynamics integration, fmincon for constrained optimization problems, and custom cost function formulations. Algorithms covered may include Linear Quadratic Regulator (LQR) design, Pontryagin's Maximum Principle applications, and dynamic programming approaches. Each routine contains commented code sections explaining the optimization formulation, constraint handling methods, and result interpretation techniques. For those interested in optimal control, these routines provide hands-on learning opportunities through practical examples showcasing control law derivation, stability analysis, and performance validation steps.