Title :
Stabilizing a class of nonlinear systems by applying large gain theorem
Author :
Vasegh, Nastaran ; Ghaderi, Ali
Author_Institution :
Fac. of Electr. & Comput. Eng., Shahid Rajaee Teacher Training Univ., Tehran, Iran
Abstract :
This paper is addressed the stability of feedback interconnected nonlinear systems based on large gain theorem. First a linear matrix inequality-based framework is proved to find minimum gain of linear systems. Then by applying large gain theorem and the idea of zero assignment, a method is proposed to stabilize Lur´e form systems. This method can be applied to MIMO systems. Two examples are given to show stabilizing procedure.
Keywords :
MIMO systems; feedback; interconnected systems; linear matrix inequalities; linear systems; nonlinear control systems; stability; zero assignment; Lur´e form system stabilization; MIMO systems; feedback interconnected nonlinear system stability; large gain theorem; linear matrix inequality-based framework; multiinput multioutput systems; zero assignment; Feedforward neural networks; Gain; Linear systems; MIMO; Nonlinear systems; Numerical stability; Stability analysis;
Conference_Titel :
System Theory, Control and Computing (ICSTCC), 2012 16th International Conference on
Conference_Location :
Sinaia
Print_ISBN :
978-1-4673-4534-7
