Optimal control approach with block pulse functions

This paper presents the direct numerical approach used to develop an optimal feedback control law of linear quadratic systems via the block pulse functions (BPFs) parameterization technique. This tool transforms the optimal control problem to a mathematical programming problem solved numerically. An illustrative example is included to demonstrate the effectiveness of this method and compare the developed results to those obtained by the application of the optimal control technique based on the resolution of the classical Riccati equation.