Computational method for constrained optimal control of switched affine systems

An optimal control problem of switched affine systems with continuous-time inequality constraints is considered in this paper. By introducing auxiliary piecewise constant function, Fischer-Burmeister function, control parametrization enhancing transform (CPET) and smoothing technique, the optimal control problem is transformed into a parameter optimization problem with a single linear equality constraint and simple bounds on the variables. Then, the original problem can be solved using any gradient-based method. Finally, a flying capacitor converter is solved to illustrate the efficiency of our method.