Week - 1 |
Introduction to linear control systems. Linearization of nonlinear systems. |
Week - 2 |
Frequency response of linear systems. |
Week - 3 |
Nyquist stability criterion. Relative stability. |
Week - 4 |
Stability (phase and gain) margins. Steady-state errors. Compensation by static gain controllers. |
Week - 5 |
Compensation by dynamic controllers. Phase-lead and phase-lag controllers. Transient response performance criteria in the frequency domain. Nichols charts. |
Week - 6 |
Midterm Exam No. I. |
Week - 7 |
Proportional, proportional-integral, proportional-derivative, and proportional-integral-derivative controllers. Sensitivity analysis. |
Week - 8 |
Introduction to the time-domain analysis of control systems. Response of linear time-varying systems. Introduction to controllability and observability. |
Week - 9 |
Controllability and observability of linear time-invariant systems. (Un)controllable and (un)observable modes. Stabilizability and detectability. Kalman decomposition. |
Week - 10 |
Mode assignment by state feedback. Asymptotic observers. Observer-based output feedback for mode placement. |
Week - 11 |
Direct design of dynamic output feedback controllers for mode placement. The robust servomechanism problem. |
Week - 12 |
Midterm Exam No. II. |
Week - 13 |
An introduction to optimal control. Linear-quadratic regulator problem. |
Week - 14 |
An indroduction to decentralized control. Decentralized fixed modes. Decentralized robust servomechanism problem. |