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On an algorithm for the problem of tracking a trajectory of a parabolic equation

Blizorukova M., Maksimov V.

International Journal of Applied Mathematics and Computer Science

2017

Vol. 27, no. 3

457--465

In this paper, we consider the problem of tracking a solution of a reference parabolic equation by a solution of another equation. A stable algorithm based on the extremal shift method is proposed for this problem. The algorithm is designed to work on a sufficiently large time interval where both equations operate.

Intelligent PI controller and its application to dissolved oxygen tracking problem

Zubowicz T., Brdys M. A., Piotrowski R.

Journal of Automation Mobile Robotics and Intelligent Systems

2010

Vol. 4, No. 3

16-24

The paper addresses design, calibration, implementation and simulation of the intelligent PI controller used for dissolved oxygen (DO) tracking at wastewater treatment plant (WWTP). The calibration process presented in this paper utilizes both engineering and scientific methods. Verification of the control system design method was obtained via simulation experiments.

The use of backstepping method to ship course controller

Witkowska A., Smierzchalski R.

TransNav : International Journal on Marine Navigation and Safety of Sea Transportation

2007

Vol. 1, no. 3

313--318

The article systematises and perform approaches the new concept of the ship autopilot in which control rules are derived for nonlinear controllers designed with the aid of the backstepping method and used for controlling the ship’s motion on its course. The objectives, approaches and problems were described. The design is very interesting has goals to create closed-loop systems with desirable stability properties in the regulation and tracking problems with a uniform asymptotic stability, rather than analyze the properties of a given system. The symulation were performed on the tanker model and were comparised in the system with PD controller.