The first stage studies of U-state space control system design

Liu, Xin; Zhu, Quanmin; Narayan, Pritesh Praneet; Yang, Ye

Abstract

In this study, a basic idea of U-state feedback control system design method is proposed based on U-model principle. Compared with U-model based nonlinear polynomial systems, the U-state space design is to determine the desired state variable equation xd(t), therefore to find the controller output u(t-1). The desired state equation can be designed/specified and
transformed into the U-state space expression easily. The controller output can be obtained from resolving the equation. The desired state variables are updated by the corresponding state variables x(t). Assume that the state variables are measurable or obtained by a proper observer in this study. In case studies, two nonlinear discrete time state space models are selected to test the proposed approach. Computational experiments, that is, simulation studies, are used to demonstrate the procedure effectiveness.

Citation

Liu, X., Zhu, Q., Narayan, P. P., & Yang, Y. (2015, July). The first stage studies of U-state space control system design. Paper presented at 2015 34th Chinese Control Conference (CCC)

• Presentation Conference Type: Conference Paper (unpublished)
• Conference Name: 2015 34th Chinese Control Conference (CCC)
• Start Date: Jul 28, 2015
• End Date: Jul 30, 2015
• Acceptance Date: Apr 1, 2015
• Publication Date: Jul 31, 2015
• Peer Reviewed: Peer Reviewed
• Pages: 946-951
• Keywords: control system synthesis, discrete time systems, nonlinear control systems, observers, polynomials, state feedback, state-space methods, U-model based nonlinear polynomial systems, U-model principle, U-state feedback control system design method, U-state
• Publisher URL: http://dx.doi.org/10.1109/ChiCC.2015.7259761
• Additional Information: Additional Information : © 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.; Title of Conference or Conference Proceedings : 2015 34th Chinese Control Conference (CCC)