Numerical LMI solutions for State Feedback with Polynomial Lyapunov Functions
Published: 22 March 2021| Version 1 | DOI: 10.17632/wphgmsdp9f.1
Contributors:
Leandro José ELIAS, Flavio A. Faria, Rafael F. Q. Magossi, Vilma A. OliveiraDescription
Simulation and LMI codes for the problem of state feedback design for nonlinear systems using polynomial Lyapunov functions. The LMIs are solved with MATLAB toolboxes, Sedumi and Yalmip. We provide the LMI conditions, the programs and simulation schemes to make it easier to reproduce two numerical problems.
Files
Steps to reproduce
Main_example1.m Execute the routines necessary to reproduce an example to check the feasible region obtained by two compared results. Main_example2.m Execute the routines necessary to simulate a magnetic suspension system.
Institutions
Universidade Estadual Paulista Julio de Mesquita Filho, Universidade de Sao Paulo Escola de Engenharia de Sao Carlos, Centro Federal de Educacao Tecnologica Celso Suckow da Fonseca, Instituto Federal de Educacao Ciencia e Tecnologia de Sao Paulo
Categories
Control Theory, Linear Matrix Inequality, Fuzzy Control