Control System Engineering II
Module I: Nonlinear Control Systems
Introduction to Nonlinear systems and their properties, Common Non-linearities, Describing functions, Phase plane method, Lyapounov’s method for stability study, concept of Limit Cycle.
Optimal Control Theory: Introduction, Optimal control problems, Mathematical procedures for optimal control design: Calculus of variations, Pontryagin’s optimum
policy, Bang-Bang Control, Hamilton-Jacobi Principle.
Module II: z-Plane Analysis of Discrete-Time Control Systems
Introduction, Impulse sampling and data hold, Reconstructing original signal from sampled signals, concept of pulse transfer function, Realization of digital controllers.
Module III: Design of Discrete-time Control Systems
Introduction, Stability analysis of closed-loop systems in the z-plane, Transient and steady state response analysis, Design based on the rootlocus method, Design based on the frequency-response method.
Module IV: State-Space Analysis
Introduction, State-space representations of discrete-time systems, Solving discrete-time state-space equations, Pulse transfer function matrix, Discretization of continuous time state space equations, Lyapunov stability analysis, Controllability and Observability, Design via pole placement, State observer design.