Observer Design Using Potential Based Realizations. Issue 8 (2015)

• Record Type: Journal Article
• Authors: Guay, Martin; Bennett, Ryan; Hudon, Nicolas
• Is Part Of: IFAC-PapersOnLine. Volume 48:Issue 8(2015)
• Page Start: 141
• Page End: 146
• Publication Date: 2015
• Subjects: Nonlinear observer -- potential-based realization -- nonlinear systems; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2015.08.171
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: This paper considers observer design for nonlinear dynamical systems which can be approximated by a dissipative Hamiltonian realization. The design approach decomposes the system associated one-form of a given dynamical system over an indeterminate metric using the Homotopy operator to generate exact (potential driven) and anti-exact parts. Then the convexity of the potential system given by the exact part is assessed and we propose a metric equation which yields a Lyapunov function for the potential driven observer system. An application of this method is demonstrated for a two-dimensional van der Pol oscillator.