—This paper proposes a full-order state observer
design of nonlinear control systems approximated by piecewise
bilinear (PB) models. We construct PB model of nonlinear
control systems. The approximated system is found to be fully
parametric. The input-output (I/O) feedback linearization is
applied to stabilize PB control systems. The design method is
capable of designing the state observer and the servo controller
of nonlinear systems separately. Although the controller is
simpler than the conventional I/O feedback linearization
controller, the control performance based on PB model is the
same as the conventional one. We present the PB modeling
combined with the conventional feedback linearization as a
very powerful tool for the analysis and synthesis of nonlinear
control systems. An illustrative example confirms the
feasibility of our proposals.
—Nonlinear control, piecewise bilinear model,
input-output linearization, state observer.
T. Taniguchi is with IT Education Center, Tokai University, Hiratsuka,
Kanagawa, 2591292 JAPAN (email: firstname.lastname@example.org).
L. Eciolaza and M. Sugeno are with European Centre for Soft
Computing, (e-mail: email@example.com,
Cite: Tadanari Taniguchi, Luka Eciolaza, and Michio Sugeno, "Full-Order State Observer Design for Nonlinear Systems
Based on Piecewise Bilinear Models," International Journal of Modeling and Optimization vol. 4, no. 2, pp. 120-125, 2014.