ADVANCED CONTROL SYSTEMS

Dr. C.Vimal Raj
Assoc. Professor
M.E, Ph.D Qualification
09 Years  of Experience

SYLLABUS COPY 

UNIT-I
STATE SPACE ANALYSIS: Review of State Space Representation - Canonical Forms: Controllable Canonical Form - Observable Canonical Form - Jordan Canonical Form.

UNIT-II
CONTROLLABILITY AND OBSERVABILITY:  Tests for controllability and observability for continuous time systems – Controllable Phase Variable form and Observable Phase Variable form - Design of State Feedback Control through Pole placement - Full order observer and reduced order observer.

UNIT-III
ANALYSIS OF NON-LINEAR SYSTEMS: Introduction to nonlinear systems - Types of nonlinearities - Describing functions - Describing function analysis of nonlinear control systems - Introduction to phase-plane analysis - Method of Isoclines & Delta for Constructing Trajectories - singular points - phase-plane analysis of nonlinear control systems.

UNIT-IV
STABILITY ANALYSIS: Stability in the sense of Lyapunov - Lyapunov’s stability and Lypanov’s instability theorems - Direct method of Lyapunov for the Linear and Nonlinear continuous time autonomous systems.

UNIT-V
OPTIMAL CONTROL: Introduction to optimal control, formulation of optimal control problems, calculus of variations, minimization of functional of single function, functional involving n independent functions, constrained minimization.