Conversion From Unstructured LTI Controllers to Observer-Structured Ones for LPV Systems

This paper considers the conversion problem from unstructured linear time-invariant (LTI) controllers to observer-structured LTI , whose structure is similar but not exactly same as so-called “Luenberger observer–based controllers,” for parameter-varying (LPV) plant systems. In contrast Luenberger controllers, can be defined and constructed even if systems are given LPV problem, state-space matrices of controller parameterized with those controller, one free matrix, a state transformation matrix. We also show method obtain optimal matrix respect convergence discrepancy between stochastically non-zero initial state. Several toy examples included illustrate effectiveness usefulness utility proposed parametrization.