Stability and Performance Attainment with Fixed Order Controller Using Frequency Response

Recently, a new data driven controller synthesis is presented for calculating the family of stabilizing first, second and fixed order controllers using frequency respons. However, this method is applicablejust for plants that can guarantee some smoothness at the boundary of the resulted high dimensionLMI. This paper solve that issue and extends the approach to fixed order controllers guaranteeing some performance criteria which are applicable for the more general types of plants. It is shown thatknowing the frequency response of plant is sufficient to calculate the stabilizing fixed order controllersfrom a set of convex linear inequalities. The H¥ norm on sensitivity and complementary sensitivity functions are satisfied from some frequency domain inequalities (FDI) that could be examined fromfrequency response data. The usefulness of the proposed approach is illustrated by an academicexample.

Keywords:

Fixed Order Controller , Linear Matrix Inequality , Frequency Domain Inequality , Performance Attainement ,