A new synthetic output tracking scheme for non-minimum phase affine nonlinear systems. Issue 18 (December 2020)

• Record Type: Journal Article
• Authors: Foghahaayee, Hoda N.; Menhaj, Mohammad B.; Talebi, Heidar A.
• Is Part Of: Journal of the Franklin Institute. Volume 357:Issue 18(2020)
• Page Start: 13326
• Page End: 13361
• Publication Date: 2020-12
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2020.09.023
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper presents a nonlinear output tracking controller for non-minimum phase affine nonlinear systems. A new analytical method is given to find a proper synthetic output which makes the system minimum phase under a condition of static equivalence. This method is fully derived based on the closed form solution of the Hamilton-Jacobi-Bellman (HJB) equation associated with the cheap control problem. The new methodology employs an algebraic equation for any system with scalar internal dynamics and a differential equation for those with an internal dynamics of higher order. Furthermore, a numerical simulation is carried out to show how the results of the experiment are consistent with those of the theoretical analysis.