Control System Design

ABOUT THE COURSE:The course exposes students to control design for continuous-time linear time-invariant (LTI) systems. The course focuses primarily on using Laplace and frequency-domain techniques. It discusses design of 1-degree of freedom (i.e., single controller) and 2-degree of freedom control systems for Single Input-Single Output (SISO) plants, using a range of tools including Nyquist plots, Bode plots, Evans plots (root locus), and Nichols plots. It also discusses the fundamental limits associated with control design and the related trade-offs that need to be made during design. INTENDED AUDIENCE:Aerospace, Electrical and Electronics, Mechanical and Chemical EngineeringPREREQUISITES: One undergraduate-level course exposing students either to Laplace transforms or control systems

Week 1 : Linear system theory, Fourier and Laplace transforms, Transfer functions
Week 2 : Fundamentals of feedback control, Nyquist stability theory
Week 3 :Bode plots, Design of 1-degree of freedom control systems (part 1)
Week 4 : Design of 1-degree of freedom control systems (part 2)
Week 5 :Robust control (2 parts)
Week 6 :Quantitative Feedback Theory (Parts 1 and 2)
Week 7 :Quantitative Feedback Theory (Part 3), Bode sensitivity integral
Week 8 :Bode Gain-Phase relationship, Ideal Bode Characteristic
Week 9 :Control of non-minimum phase systems (2 parts)
Week 10 :Control of unstable systems (2 parts)
Week 11 :Describing functions, Solved examples
Week 12 :Solved examples