Many physical systems can be modelled using linear 2 × 2 hyperbolic partial differential equations. The act of stabilizing systems of this type has therefore been subject to extensive research, and a number of techniques and feedback laws have been proposed in the literature. In this thesis, a full state feedback law for disturbance attenuation in such systems is derived, with actuation limited...

The frequency regulation has become one of the major subjects in microgrid power system due to the complexity structure of microgrid. In order to solve this problem, this paper proposes an improved linear active disturbance rejection control algorithm (ILADRC) that can significantly improve system performances through changing feedback control law to reduce the disturbance estimation error of e...

Repetitive processes are a distinct class of two-dimensional systems (i.e., information propagation in two independent directions) of both systems theoretic and applications interest. A systems theory for them cannot be obtained by direct extension of existing techniques from standard (termed 1-D here) or, in many cases, two-dimensional (2-D) systems theory. Here, we give new results towards th...

T he major reason for monitoring intraoperative temperature is for detection of fever, malignant hyperthermia, and hypothermia. Inadvertent hypothermia-defined by an absolute core temperature <36”C-is by far the most common perioperative thermal disturbance. However, hypothermia may be difficult to evaluate using liquid-crystal thermography, because skin temperatures are l-4°C less than core te...

In this paper we study the response to external disturbances of a double integrator with saturating feedback. For a class of disturbances that have bounded integrals over all intervals, we show that a linear static feedback law can always be designed to ensure boundedness of the states. Moreover, boundedness can be preserved if the disturbance is biased by a small DC signal. In the special case...

Abstract: This paper considers the problemof persistent bounded disturbance rejection for a class of time-delay systems with parametric uncertainty by Lyapunov function and positively invariant set analysis method. Sufficient conditions for internal stability and L1−performance analysis are given in terms of linear matrix inequalities (LMIs). Based on the results, a simple approach to the desig...

In this paper, we use the theory of L2 disturbance attenuation for linear (H1) and nonlinear systems to obtain solutions to the Nonlinear Benchmark Problem (NLBP) proposed in the paper by Bupp et. al.1. By considering a series expansion solution to the Hamilton-Jacobi-Isaacs Equation associated with the nonlinear disturbance attenuation problem, we obtain a series expansion solution for a nonli...

A nonlinear PID (NPID) controller for a class of linear plants with output feedback is studied. The controller gains are modulated by the control error and error rate to yield a closed-loop system for improved disturbance rejection. An optimization problem involving constraints written as linear matrix inequalities (LMIs) is solved to compute the controller parameters. A hard disk drive (HDD) c...

A new approach to short-term electrical load forecasting is investigated in this paper. As electrical load data are highly non-linear in nature, in the proposed approach, we first separate out the linear and the non-linear parts, and then forecast using the non-linear part only. Semi-parametric spectral estimation method is used to decompose a load data signal into a harmonic linear signal mode...

A modified four-dimensional linear active disturbance rejection control (LADRC) strategy is proposed for a dual three-phase permanent magnet synchronous generator (DTP-PMSG) system to reduce cross-coupling between the d and q axis currents in d-q subspace harmonic x-y subspace. In subspace, uses model-based LADRC enhance decoupling effect axes ability against parameter variation. 5th 7th curren...