This paper addresses the design of robust controllers for interval systems. For that, the H∞-standard approach is combined with interval techniques in order to derive controllers that ensure robust performances. The main advantages of the proposed approach are: 1) the natural and ease of modeling of the uncertain parameters thanks to intervals, 2) the low order of the controller since it can be...

Design of fractional order PID (FOPID) controller for DC motor is proposed in this paper. A FOPID (PID) is a PID controller whose derivative and integral orders are fractional numbers rather than integers. Design stage of such controller consists of determining six parameters – proportional constant (Kp), integral constant (Ki), derivative constant (Kd), filter time constant (τd), integral orde...

In this paper a recently reported four-quadrant nonlinear thrust controller for marine propellers is applied to the velocity control of an underwater vehicle. The controller, designed for fixed pitch electrically driven propellers, is based on a shaft speed control and employs an estimate of the propeller torque loss. A simulation study is performed in order to compare the presented approach wi...

In this paper, a search method for a fixed-order controller that satisfies the standard H∞ control problem is proposed. This is a descent method that gives a sequence of the stabilizing controllers so that the H∞ performance function may be monotonically non-increasing. A frequency-dependent LMI(linear matrix inequality) with respect to the coefficient matrices of the controller is derived from...

A new approach for robust fixed-order H∞ controller design by convex optimization is proposed. Linear timeinvariant single-input single-output systems represented by a finite set of complex values in the frequency domain are considered. It is shown that the H∞ robust performance condition can be approximated by a set of linear or convex constraints with respect to the parameters of a linearly p...

Robust controller designed by H∞ loop shaping is complicated and its order is much higher than that of the plant. It is not easy to implement this controller in practical engineering applications. To overcome this problem, we propose an algorithm, GA based fixed-structure H∞ loop shaping control, to design a robust controller. Genetic algorithm is used to solve the H∞ loop shaping design proble...

A Review of Rules: Short History What We Live By. By Lorraine Daston.

This paper proposes a reinforcement learning based SVC controller to improve the damping of power systems in the presence of load model parameters uncertainty. The proposed method is trained over a wide range of typical load parameters in order to adapt the gains of the SVC stabilizer. The simulation results show that the tuned gains of the SVC stabilizer using Reinforcement Learning can provid...

Abstract : Let be a 2nd order ODE. By Cartan equivalence method, we will study the local equivalence problem under the transformations group of time-fixed coordinates. We are going to solve this problem by an applicable method which has been recognized by R. Gardner, and classify them.