Gain Scheduling Controller Synthesis with Spline-Type Parameter-Dependent Quadratic Forms via Dilated Linear Matrix Inequalities

2006 ◽  
Author(s):  
Y. Hamada ◽  
I. Yamaguchi ◽  
T. Kida
Keyword(s):  
Linear Matrix Inequalities ◽  
Quadratic Forms ◽  
Gain Scheduling ◽  
Controller Synthesis ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Parameter Dependent ◽  
Type Parameter

Robust controller synthesis via non-linear matrix inequalities

1999 ◽  
Vol 72 (11) ◽  
pp. 971-980 ◽  
Author(s):  
Emmanuel G. Collins ◽  
Debashis Sadhukhan ◽  
Layne T. Watson
Keyword(s):  
Linear Matrix Inequalities ◽  
Controller Synthesis ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Robust Controller ◽  
Non Linear

scholarly journals Linear Matrix Inequalities in multivariable ship’s steering

2012 ◽  
Vol 19 (Special) ◽  
pp. 37-44 ◽  
Author(s):  
Monika Rybczak
Keyword(s):  
Linear Matrix Inequalities ◽  
Controller Synthesis ◽  
Pid Controllers ◽  
Linear Matrix ◽  
Programming Environment ◽  
Matrix Inequalities ◽  
Matlab Simulink ◽  
Ship Model ◽  
Ship Control

ABSTRACT This paper explains the basics of the Linear Matrix Inequalities (LMI), with examples of simulations and calculations created in Matlab/Simulink programming environment where the controlled plant is the “Blue Lady” ship model. First chapter of this paper gives a short overview of publications describing the use of Linear Matrix Inequalities method. Second chapter contains basic definitions and equations for the LMI method. Chapter three presents the use of LMI method for ship control by describing controller synthesis for the “Blue Lady”. Chapter four compares the operation of two controllers, the first one consisting of three independent proper adjusted PID controllers and the second one being a multivariable LMI controller. Finally conclusions from the above comparison are drawn.

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