Introduction; State-space representation; Different canonical forms: Controller canonical form, Observer canonical form, Diagonal canonical form, Jordan canonical form, Controllable canonical form, Observable canonical form; Decomposition of transfer functions into different canonical forms; Controllability and Observability; Stabilizability and Detectability; State feedback control; Full and reduced order observers: Observer based state feedback control, Separation principle; Optimal control: Linear Quadratic control, Linear Quadratic Gaussian control, Loop transfer recovery control; Internal stability, Well-posedness; Concept of uncertainties and robustness: Structured uncertainties, Unstructured uncertainties, Sensitivity, Complementary Sensitivity and their significance for performance and robustness study, Robust stability of structure, Kharitonov polynomial; H∞ control: Two block frame work, Four block frame work, mu-synthesis; Nonlinear Control: Approximate linearization, Input to state exact linearization, input to output exact linearization; Sliding mode control. |