scholarly journals Control design and analysis for discrete time bilinear systems using Sum of Squares methods

2014 ◽  
Author(s):  
Mohsen Vatani ◽  
Morten Hovd ◽  
Sorin Olaru
Keyword(s):  
Discrete Time ◽  
Control Design ◽  
Sum Of Squares ◽  
Bilinear Systems

OBSERVER-BASED FUZZY CONTROL DESIGN FOR DISCRETE-TIME T-S FUZZY BILINEAR SYSTEMS

2013 ◽  
Vol 21 (03) ◽  
pp. 435-454 ◽  
Author(s):  
JIANGRONG LI ◽  
JUNMIN LI ◽  
ZHILE XIA
Keyword(s):  
Fuzzy Control ◽  
Discrete Time ◽  
Control Design ◽  
Bilinear System ◽  
Single Step ◽  
Bilinear Systems ◽  
Linear Matrix ◽  
Fuzzy Observer ◽  
Nonlinear Minimization ◽  
The Stability

This paper is concerned with the problem of observer-based fuzzy control design for discrete-time T-S fuzzy bilinear systems. Based on the piecewise quadratic Lyapunov function (PQLF), the piecewise fuzzy observer-based controllers are designed for T-S fuzzy bilinear systems. It is shown that the stability for discrete T-S fuzzy bilinear system can be established if there exists a PQLF can be constructed and the fuzzy observer-based controller can be obtained by solving a set of nonlinear minimization problem involving linear matrix inequalities(LMIs) constraints. An iterative algorithm making use of sequential linear programming matrix method (SLPMM) to derive a single-step LMI condition for fuzzy observer-based control design. Finally, an illustrative example is provided to demonstrate the effectiveness of the results proposed in this paper.

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