In this paper, we propose a new technique used to design a robust controller that is not as high-order and complicated as the ones designed by conventional Η∞ loop shaping method. To overcome the problem we proposed an algorithm called Genetic Algorithm (GA) based fixed-structure Η∞ loop shaping control. In the approach, GA is adopted to solve the Η∞ loop shaping design problem under a structur...

We propose an algorithm which combines multi-directional search (MDS) with nonsmooth optimization techniques to solve difficult problems in automatic control. Applications include static and fixed-order output feedback controller design, simultaneous stabilization, H2/H∞ synthesis and much else. We show how to combine direct search techniques with nonsmooth descent steps in order to obtain conv...

Recent improvements of semi-definite programming solvers and developments on polynomial optimization have resulted in a large increase of the research activity on the application of the so-called sum-of-squares (SOS) technique in control. In this approach non-convex polynomial optimization programs are approximated by a family of convex problems that are relaxations of the original program [4, ...

In this paper, a new approach to fixed-order H∞ and H2 output feedback control of MIMO discrete-time systems with polytopic uncertainty is proposed. The main idea of this approach is based on the definition of SPR-pair matrices and the use of some instrumental matrices which operates as a tool to overcome the original non-convexity of fixed-order controller design. Then, stability condition as ...

Differentiation is an important task in control, observation, and fault detection. Levant’s differentiator unique, since it able to estimate exactly robustly the derivatives of a signal with bounded high-order derivative. However, convergence time, although finite, grows unboundedly norm initial differentiation error, making uncertain when estimated derivative exact. In this article, we propose...

in this paper, a novel compensator based on magnetically controlled reactor with fixed capacitor banks (fc-mcr) is introduced and then power system stability in presence of this compensator is studied using an intelligent control method. the problem of robust fc-mcr-based damping controller design is formulated as a multi-objective optimization problem. the multi-objective problem is concocted ...