Introduction to Control Systems Design Using Matlab

Abstract

Control systems theory is a wide area covering a range of artificial and physical phenomena. Control systems are systems that are designed to operate under strict specifications, to satisfy certain aims, like safety regulations in the industry, optimal production of goods, disturbance rejection in vehicles, smooth movement and placement of objects in warehousing, regulation of drug administration in medical operations, level control in chemical processes and many more. The present work provides an introduction to the fundamental principles of control system's analysis and design through the programming environment of Matlab and Simulink. Analysis of transfer function models is carried out though multiple examples in Matlab and Simulink, analyzing the dynamics of 1st and 2nd order systems, the role of the poles and zeros in the system's dynamic response, the effects of delay and the possibility to approximate higher order systems by lower order ones. In addition, examples are given from the fields of mechanical systems, medically induced anesthesia, neuroprosthetics and water level control, showcasing the use of controllers that satisfy certain design specifications.

Dynamic Performances of the Automatic Flight Control System

“…Stability requirements specified as gain and phase margins are convenient because they can be measured in a closed loop control system by artificially introducing variations in the loop gain or the phase delay until instability is observed, [1][2][3]. These stability margins can be found analitically by examinating the open-loop tranfer function, Bode diagram, the Nichols Chart gain and the phase cross plot, or the Nyquist plot of real vs. imaginary parts, [6][7][8][9].…”

Design of Air Traffic Control Operation System

“…ℎ̇= sinθ − cosθsin∅ − cosθcos∅ The rotational kinematic equations, which relate Euler angular rates to body-axis angular rates, are given by ( [4][5][6]…”

“…Then, a preprogrammed pitch profile for the flare is commanded. Flying aircraft are controlled by autopilots to follow commanded trajectories, [4][5][6]: The engine used in the B-737 linear Autoland model is Pratt and Whitney JT8D-7. It is an example of the turbofan type of jet engine.…”

Automated Conflict Resolution in Air Traffic Management

“…The aircraft involved in the conflict are assumed to be flying at constant velocity during a resolution maneuver. [1], [3][4] Now, let's define for aircraft i and aircraft j: [2], [5][6], [7][8][9], [15] …”

“…The key to the JPDA algorithm is the evaluation of the conditional probabilities of the following joint events: [3][4], [5][6], [15] = ⋂ =1 , = 1, … , ; = 0,1, … ,…”