Review of Concepts of State Space : Canoncial forms, Similarity transformations, time response; Concepts of Controllability, Observability and Stability;
Control Design Philosophy, State Feedback Controller Design, Observer Design; Full and Reduced Order Observers
Optimality, Quadratic Optimization, Optimal Regulator Problem in Linear Systems, The Riccati Equation, Solution to the Ricatti Equation, Optimal State Reconstruction, Duality between Optimal Observer and Optimal Regulator
Control Design in MIMO Systems : Representation and parameterization of MIMO systems - Transfer Functions, Frequency Reponse, Relative Gain Array; Control of multivariable systems, RHP poles in MIMO systems, Robustness in MIMO systems, Limitations on performance.