Designing Stabilizing Controllers for Uncertain Systems Using the Riccati Equation Approach

摘要

A useful technique for determining a linear feedback control law which stabilizes an uncertain system is the Riccati Equation approach, It considers systems with time varying uncertainty in the system matrix and obtain the constant feedback gains for the linear stabilizing controller in terms of the solution of a Riccati equation. This technique is extended to include problems with time varying uncertainty in the input connection matrix. Several examples are included to demonstrate the efficacy of this result.