State equations and input-output description of continuous-time systems

STATE EQUATIONS AND INPUT-OUTPUT DESCRIPTION OF CONTINUOUS-TIME SYSTEMS (M. Sc Thesis) Ibrahim KOLD ANCA GAZİ UNIVERSITY INSTITUTE OF SCIENCE AND TECHNOLOGY In this work, the response of linear continuous-time systems and transfer functions were investigated by considering state equations of linear continuous- time systems. In addition, by using state equations of linear discrete-time systems the response of this systems» transfer function, ir transform and sampied-data systems were investigated. La linear systems, subject of controllability and observability was researched and the relationship between reachability-controllability and observability-constructibility was observed. By using the mathematical model of DC motor state equations, state diagram of a DC motor, block diagram of a DC motor was made. After that, the control of PID was considered. The general characteristicis of PCD controls, and the laws of Ziegler-Nichols were investigated. The finally, by using the MATLAB program, the controllability and observability of a DC motor was researchted and after that the PI and PD3 controllers were applied. Science Cade : 626.01.00 Key Words : Continuous time, state equations, controllability, observability