Unfalsified adaptive control of bilinear systems

A variety of dynamical systems are bilinear in state and control and have a specific canonical form which is presented. Examples include kinematic steering (S. Sastry, 1999), surface morphology and growth of thin films (D.D. Vvedensky et al., 1993; R.L. Kosut et al., 1999),and quantum control of atomic and molecular motion (H. Rabitz, 2000). The article focuses on systems of the latter two types under run-to-run control, i.e., the control is constant, during the i-th interval, Because modeling is extremely difficult, there is motivation to construct a direct adaptive run-to-run control. An approach based on the unfalsified control concepts described by M.G. Safonov and T.C. Tsao (1997), and R.L. Kosut (2001) is presented