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System Dynamics and Control, Modeling systems using simultaneous differential equations, System input and output relationships, Concept of state and state-space modeling of dynamic systems, System Order and relationship to energy storage elements, Classical system inputs/commands/disturbances: step, ramp, impulse, random, Classical system responses.
Single Input-Single Output Systems, State-Space Models of Systems, The Role of the Laplace Transform, Transfer Functions, Frequency response of systems, Open and Closed Loop Feedback, Feedback Control: Proportional, PI, PD, and PID Controllers, Effects of Disturbances on Control Systems, Stability of Systems, Least square estimation, Least square solutions of linear problems.
Singular values, Dynamical systems, State-space models, Solutions of state-space models, Transfer functions, I/O stability, Bode's sensitivity integral, Robust stability, Reachability and observability, Minimal realizations, Balanced realization, Feedback stabilization, H2 optimization, H∞ optimization, Laplace Transform and Transfer Functions, Modeling Mechanical Systems, Continued, Modeling Electrical Systems, Linearization, First Order Time Response, First Order Frequency Response, Second Order Time Response, Second Order Frequency Response, Higher Order Systems, Block Diagrams and PD Control, Integral Control and Root Locus.