Systematic observer design for bilinear systems

Observer design for bilinear systems using Ljapunov´s methods leads to systems of matrix equations and matrix inequalities to be satisfied. So far, no systematic approach has been implemented in order to attack this problem. The solution presented consists of two major steps. First the matrix equations and matrix inequalities are reduced to polynomial inequalities. Then Collins´ algorithm is applied to settle the solvability of the problem and to compute an observer. The efficiency of the new observer design is demonstrated for a continuous furnace process