Robust quadratic stabilization applied to design of continuous-time and discrete-time observers

In this paper, an application of a robust quadratic stabilization algorithm (RQSA) to continuous-time and discrete-time observers is presented. The RQSA is based on checking end points of a bounding hyperpolyhedron. The RQSA applied to observers is introduced, and implemented for a simplified car model, in both continuous-time and discrete-time case. The paper concludes that the RQSA is feasible to estimate unavailable states, even though there are structured uncertainties in the system matrix and in the measurement matrix.