6EX1-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.
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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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