6EE1-MODERN CONTROL THEORY |
Units: I-Introduction: |
Concept of Linear vector space Linear Independence, Bases & Representation,
domain and range. Concept of Linearity, relaxedness, time invariance, causality.
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Units: II-State Space Approach of Control System Analysis: |
Modern Vs conventional control theory,
concept of state, state variable state vector, state space, state space equations, Writing statespace
equations of mechanical, Electrical systems, Analogous systems. |
Units: III |
State Space Representation using physical and phase variables, comparison form of system
representation. Block diagram representation of state model. Signal flow graph representation.
State space representation using canonical variables. Diagonal matrix. Jordan canonical form,
Derivation of transfer function from state-model.
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Units: IV-Solution of State Equations: |
Diagonalization, Eigenvalues and eigen vectors. Matrix
exponential, State transition matrix, Properties of state transition matrix. Computation of State
transition matrix concepts of controllability & observability. Pole placement by state
feedback, Ackerman’s formula
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Units: V-Digital Control Systems: |
Introduction, sampled data control systems, signal reconstruction,
difference equations. The z-transform, Z-Transfer Function. Block diagram analysis of
sampled data systems, z and s domain relationship, digital PID controller
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