Stability radius optimization and loop transfer recovery for uncertain dynamical systems

The difficult problem of robust stabilization and performance of dynamic systems under structured uncertainty motivates one to look into alternative solutions. Due to the consavstism and limitation d a t e d with two lines of research; namely, robust recovery of LQR in LQG design and quadratic stabilization, we introduce a new feasible solution to this problem. The main idea is t o design controllers for robust stabilization of nncertaiu systems such that the resulting dosed-loop systems are structurally constraint to certain classes of systems with desirable properties. The special dasw of systems considered in this paper are nonnegative and metzlerian. We make use of previously reported results for these dassea of systems and introduce a new design approach called stability radius optimization loop transfer recovery, SRO/LTR, which can be regarded as a two step procedure similar to the LQG/LTR method. However, the flexibility offered by the SRO allows constraints to be imposed on the structure of the resulting dosed-loop target feedback loop.