Observer-based control of positive polynomial fuzzy systems with unknown time delay

TY - JOUR

T1 - Observer-based control of positive polynomial fuzzy systems with unknown time delay

AU - Han, Meng

AU - Lam, H. K.

AU - Li, Yuandi

AU - Liu, Fucai

AU - Zhang, Changzhu

PY - 2019/7/15

Y1 - 2019/7/15

N2 - This paper presents a methodology to investigate the observer-based control for positive nonlinear systems with unknown time delay through analyzing the stability and positivity of positive polynomial fuzzy-model-based (PPFMB) observer-control systems with unknown time delay and unmeasurable premise variables. In order to widen the application of research results and relax the research results, the polynomial fuzzy observer-controller employs a membership function depending on estimated premise variables and the observer system matrix is treated as decision variable. This scenario will lead to non-convex stability and positivity conditions when the stability and positivity are analyzed based on the Lyapunov stability theory. To overcome this issue, some transformation techniques and matrix decoupling techniques (MDT) are adopted to turn the non-convex stability/positivity conditions into convex ones so that they can be handled by convex programming techniques. Finally, two simulation examples are presented to demonstrate the feasibility and validity of the analysis results.

AB - This paper presents a methodology to investigate the observer-based control for positive nonlinear systems with unknown time delay through analyzing the stability and positivity of positive polynomial fuzzy-model-based (PPFMB) observer-control systems with unknown time delay and unmeasurable premise variables. In order to widen the application of research results and relax the research results, the polynomial fuzzy observer-controller employs a membership function depending on estimated premise variables and the observer system matrix is treated as decision variable. This scenario will lead to non-convex stability and positivity conditions when the stability and positivity are analyzed based on the Lyapunov stability theory. To overcome this issue, some transformation techniques and matrix decoupling techniques (MDT) are adopted to turn the non-convex stability/positivity conditions into convex ones so that they can be handled by convex programming techniques. Finally, two simulation examples are presented to demonstrate the feasibility and validity of the analysis results.

KW - Polynomial fuzzy controller

KW - Polynomial fuzzy observer

KW - Positive polynomial fuzzy-model-based (PPFMB) systems

KW - Unknown time delay

KW - Unmeasurable premise variables

UR - http://www.scopus.com/inward/record.url?scp=85064438858&partnerID=8YFLogxK

U2 - 10.1016/j.neucom.2019.04.016

DO - 10.1016/j.neucom.2019.04.016

M3 - Article

AN - SCOPUS:85064438858

SN - 0925-2312

VL - 349

SP - 77

EP - 90

JO - Neurocomputing

JF - Neurocomputing

ER -