Negative Imaginary State Feedback Equivalence for a Class of Nonlinear Systems

In this paper, we investigate the necessary and sufficient conditions under which a class of nonlinear systems are state feedback equivalent to negative imaginary (NI) with positive definite storage functions. The interest have normal form relative degree less than or equal two. nonlinearity system is restricted respect subset variables, variables that external dynamics. Under mild assumptions, such NI output strictly (OSNI) if only they weakly minimum phase. Such control approach can also asymptotically stabilize in question against OSNI uncertainties. A numerical example provided show process equivalence stabilization uncertain systems.