CONTROL OF LINEAR-TIME VARYING SYSTEMS USING FORWARD RICCATI EQUATION

This paper presents a new state feedback control design for linear tim e-varying systems. Iii conventional control designs such as the LQ opt imal control, the stare feedback gain is calculated off-line by solvin g a Differential Riccati Equation (DRE) backwards with the boundary co ndition set at some future time. The apparent disadvantage of using a backward DRE is that future information of the system matrices is requ ired to find the stare feedback gain at every time instant. In this pa per an inversion state transformation is applied to the system so that the DRE associated with the transformed system becomes forward in the sense that its boundary condition is set at the initial rime of opera tion (t = t(0)). As a result, the forward DRE can be calculated on-lin e without using Suture information of the system matrices.