Solution to the LQR problem of variable coefficients singular 2-D systems using the wave advanced model

The optimal control problem of variable coefficients singular 2-D systems is under study. To extend the results developed in Shafee (1995) to singular case, the singular wave advanced model (SWAM) is introduced. In particular, two dimensional LQR problems of fixed final stage, with free and fixed final states, are considered and their equivalent 1-D settings are formulated using SWAM. Optimal control laws are obtained and numerical examples are illustrated for each case