Implementing nonlinear controllers using observer-form via kernel representations

Abstract

We propose a connection between the state-space realization and ‘observer-like’ property of a nonlinear feedback system, consisting of an linear time-invariant (LTI) plant and a nonlinear controller by utilizing ‘kernel representation’ of dynamical systems. This connection is advanced by noticing that the kernel representation shares many properties with and is indeed a generalization of left fractional representations for nonlinear systems.