Title: CONTROL SYSTEM ANALYSIS I
Coordinator: Sam Burden, Assistant Professor, Electrical & Computer Engineering
Goals: For students to acquire the necessary tools for the analysis and design of linear feedback control systems.
At the end of this course students will be able to:
N. S. Nise, Control Systems Engineering, John Wiley & Sons, 6th edition, 2010.
K. J. Astrom and R. M. Murray, Feedback Systems, Princeton University Press, Version v3.0i (2018-09-30).
Prerequisites by Topic:
Course Structure: The class meets for two lectures a week (TuTh). There is weekly homework due; Grading is based on homework, one midterm exam, a final exam, and a project. The grading percentages and nature of the exams are left to the discretion of the instructor.
Computer Resources: The course uses Python for homework problems. The students complete an average of 2 hours of computer work per week.
(1) Problems — An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics. (H) This course builds on the students' foundations in signal processing, differential equations, and linear algebra to derive and apply techniques for feedback control of linear systems to solve the following types of problems: (i) construct mathematical models of physical systems (differential / difference equations, transfer functions); (ii) analyze stability and parametric sensitivity properties of the mathematical models (eigenvalues / roots of characteristic polynomials, Routh-Hurwitz stability criteria); (iii) synthesize feedback controllers that achieve specified performance objectives in time- and/or frequency-domain (rise time, settling time, crossover frequency).
(2) Experiment — An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions. (M) Students learn to apply computational tools to conduct the following types of experiments with mathematical models of physical systems: (i) evaluate open-loop system response in time- and/or frequency-domain (step response, Nyquist diagram); (ii) evaluate closed-loop system response in time- and/or frequency-domain (step response, Nyquist diagram, Bode plot); (iii) simulate the effect of disturbances, perturbations, and real-world implementation (discretization, delay, linearization).
Prepared By: Sam Burden
Last revised: 2019/05/20