Derivation method of optimal solution on output feedback control

This paper presents a modified version of the output feedback control problem. The conventional output feedback control methods are semi-optimization methods that need to calculate repeatedly when derive an optimal output feedback gain because the Riccati equation includes a non-linear part. We considered a solvability condition that output feedback control has a unique solution. As a result, we obtained the stationary condition depending on sensors and including the same form of the Riccati equation as the well-known optimal regulator.