Lmis and Polynomial Methods in Control: Illustrative Examples
نویسندگان
چکیده
Linear Matrix Inequalities (LMIs) are now widely used as a convenient tool for solving a signiicant number of control problems. Probably for historical reasons, LMIs have mainly been used conjointly with state-space methods. Several recent works however tend to prove that polynomial (or algebraic) methods can also rely on LMIs. With the help of simple illustrative examples, the purpose of this paper is to show how the simultaneous use of LMIs and polynomial methods can shed new insights into several important control problems. The algorithms described in this paper will be part of the next version of the Polynomial Toolbox for Matlab, to be released soon 5 .
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