Exponential Feedback Passivity of Switched Polynomial Nonlinear Systems

Abstract

The exponential feedback passivity problem of switched polynomial nonlinear systems is studied. To obtain this aim, a method of parameterization of controller is presented and parameter solution algorithm is described. Then, the addressed method is utilized to solve the robust stabilization for a class of switched polynomial nonlinear systems with parameter uncertainties and external disturbance. This result extends the previous results on exponential feedback passivity from the case of nonlinear systems to switched nonlinear systems. A numerical example is given to demonstrate the effectiveness of the proposed result.

Robust H ∞ Control for the Nonlinear Cascade Systems with Passive and Nonpassive Subsystems

“…However, these methods usually bring a difficulty that needs to solve the Hamilton-Jacobi equation. e passivity, from the electrical network, becomes an extremely useful property in switched systems, and many results about the passivity of switched systems have been published [3][4][5][6][7][8][9][10][11]. Storage functions that characterize passivity can be used as Lyapunov functions to analyze stabilization problems [3].…”