Mathematical Models of System and Control

This course presents and integrates the basic for both continuous-time and discrete-time signals and systems. Signals and Systems representations are developed for both time and frequency domains. These representations are related through the Fourier transform of its generalizations, which are explored and in detail. Filtering and filter design, modulation, and sampling for both analog and digital systems, as well as exposition and demonstration of the basic concepts of feedback systems for both analog and digital systems, are discussed and illustrated.

Upon the successful completion of this course, students should be able to:

• apply both continuous and discrete-time periodic signals as a Fourier series.
• apply the Fourier transform and the Laplace transform to analyze cotinuous-time signals and systems.
• apply the discrete-time Fourier transform and the z-transform to analyze discrete-time signals and systems.
• evaluate the impulse response, step response and frequency response of both continuous-time and discrete-time systems.
• evaluate the state space or state variable for both continuous-time and discrete-time systems.

Textbooks:

1. Introduction to Mathematical Modeling of Systems and Control, 3^rd Edition, Jan Willem Polderman & Jan C. Willems

References:

1. Signals and Systems, Hwei P. Hsu