06EC666 - MODERN CONTROL THEORY |
PART – A |
UNIT – I |
LINEAR SPACES AND LINEAR OPERATORS: Introduction, Fields,
Vectors and Vector Spaces, Linear Combinations and Bases, Linear
Transformations and Matrices, Scalar Product and Norms, Solution of
Linear Algebraic Equations, Eigen values, Eigen vectors and a Canonical-
Form, Functions of a Square Matrix. |
UNIT – II |
STATE VARIABLE DESCRIPTIONS: Introduction, The Concept of
State, State Equations for Dynamic Systems, Time-Invariance and Linearity,
Non uniqueness and State Model, State diagrams. |
UNIT – III |
PHYSICAL SYSTEMS AND STATE ASSIGNMENT: Introduction,
Linear Continuous-Time Models, Linear Discrete-Time Models, Nonlinear
Models, Local Linearization of Nonlinear Models, Plant Models of some
Illustrative Control Systems. |
UNIT – IV |
SOLUTIONS OF STATE EQUATIONS: Introduction, Existence and
Uniqueness of Solutions to Continuous –Time State Equations, Solution of
Nonlinear Continuous-Time Equations, Solution of Linear Time-Varying
Continuous –Time State Equations, Solution of Linear Time- Invariant continuous-Time State Equations, Solution of Linear Discrete-Time State
Equations, State Equations of Sampled –Data Systems. |
PART – B |
UNIT – V |
CONTROLLABILITY AND OBSERVABILITY: Introduction, General
Concept of Controllability, General Concept of Observability, Controllability
Tests for Continuous-Time Systems, Observability Tests for Continuous-
Time Systems, Controllability and Observability of Discrete-Time Systems,
Controllability and Observability of State Model in Jordan Canonical Form,
Loss of Controllability and Observability due to Sampling, Controllability
and Observability, Canonical Forms of State Model. |
UNIT – VI |
RELATIONSHIP BETWEEN STATE VARIABLE AND INPUTOUTPUT
DESCRIPTIONS: Introduction, Input-output Maps from State
Models, Output Controllability, Reducibility, State models from Input-Output
Maps. |
UNIT – VII |
STABILITY: Introduction, Stability Concepts and Definitions, Stability of
Linear Time-Invariant Systems, Equilibrium Stability of Nonlinear
Continuous-Time Autonomous Systems, The Direct Method of Lyapunov
and the Linear Continuous-Time Autonomous Systems, Aids to Finding
Lyapunov Functions for Nonlinear Continuous-Time Autonomous Systems,
Use of Lyapunov Functions to Estimate Transients, The Direct Method of
Lyapunov and the Discrete-Time Autonomous Systems. |
UNIT – VIII |
MODEL CONTROL: Introduction, Controllable and Observable
Companion Forms, The effect of State Feedback on Controllability and
Observability, Pole Placement by State Feedback, Full-Order Observers,
Reduced-Order Observers, Deadbeat Control by State Feedback, Deadbeat
Observers |
REFERENCE |
TEXT BOOKS: |
1. Modern Control System Theory - M. Gopal: 2nd Edition; New
Age Int (P) Ltd. 2007 |
Reference Books |
1. Modern Control System – Richard Dorf & Robert Bishop Pearson
Education/ PHI.
2. Modern Control Engineering - K. Ogata Pearson Education / PHI |
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