Fixed-order controller design for LTI-SISO polytopic systems is investigated using rank deficiency constraint on the controller Sylvester resultant matrix. It is shown that the non-convexity of fixed-order controller design problem can be contracted in a rank deficiency constraint on Sylvester resultant matrix of the controller. Then, an improved convex approximation of the rank deficiency cons...

in recent years, there has been a fast growth in wind energy conversion system (wecs). there are two general types of wind turbines in wecs: fixed speed wind turbines and varying speed wind turbines.permanent magnet synchronous generator (pmsg) is one of the most attractive generators for the varying speed turbine wecs.in this paper, a fuzzy controller is proposed to control the current source ...

A reduction procedure based on semidefinite programming duality is applied to LMI conditions for fixed-order scalar linear controller design in the polynomial framework. It is namely shown that the number of variables in the reduced design LMI is equal to the difference between the open-loop plant order and the desired controller order. A standard linear system of equations must then be solved ...

We report on our experience with strong stabilization using HIFOO, a toolbox for H∞ fixed-order controller design. We applied HIFOO to 21 fixed-order stable H∞ controller design problems in the literature, comparing the results with those published for other methods. The results show that HIFOO often achieves good H∞ performance with low-order stable controllers, unlike other methods in the lit...

In this paper, the problem of designing fixed-order robustH∞ controllers is considered for linear systems affected by polytopic uncertainty. A polynomial method is employed to design a fixed-order controller that guarantees that all the closed-loop poles reside within a given region of the complex plane. In order to utilise the freedom of the controller design, an H∞ performance specification i...