Control system design

This unit introduces core methods for the analysis and design of feedback controllers for dynamical systems. Linear time-invariant models of dynamical systems, and their representations based on differential equations, transfer functions, state space models, and time and frequency response are covered. The concepts of poles and zeros, forward transfer functions, and PID control will be developed. Stability of feedback systems, and classical root locus and frequency-response design approaches will be covered. Discrete-time/sampled data control systems are introduced, along with emulation design methods. The unit concludes with design methods based on state-space models, along with the concepts of canonical state-space representations, controllability and observability.