Syllabus ,ACS Question papers, Answers, important Question Advanced Control Systems, R13 Regulation, B.Tech , JNTUK,Syllabus, download,
State space analysis State Space Representation – Solution of state equation – State transition matrix, –Canonical forms – Controllable canonical form – Observable canonical form, Jordan Canonical Form
Controllability, observability and design of pole placement Tests for controllability and observability for continuous time systems – Time varying case – Minimum energy control – Time invariant case – Principle of duality – Controllability and observability form Jordan canonical form and other canonical forms – Effect of state feedback on controllability and observability – Design of state feedback control through pole placement
Describing function analysis Introduction to nonlinear systems, Types of nonlinearities, describing functions, Introduction to phase–plane analysis.
Stability analysis Stability in the sense of Lyapunov – Lyapunov’s stability and Lypanov’s instability theorems – Direct method of Lypanov for the linear and nonlinear continuous time autonomous systems.
Calculus of variations Minimization of functional of single function – Constrained minimization – Minimum principle – Control variable inequality constraints – Control and state variable inequality constraints – Euler lagrangine equation.
Optimal control Linear quadratic optimal regulator (LQR) problem formulation – Optimal regulator design by parameter adjustment (Lyapunov method) – Optimal regulator design by continuous time algebraic riccatti equation (CARE) - Optimal controller design using LQG framework.