State Variable Analysis of Linear Dynamic Systems, State variables, state equations, State variable representation of electrical and mechanical systems, Dynamic equations, merits for higher order differential equations and solution, Transfer function from State Variable Representation, Solutions of the state equations, state transition matrix, Concept of controllability and observability and techniques to test them - Kalman’s Test, Simulation
Topics covered
Introduction to state space analysis in control systems
Advantages of state space analysis
Topics covered
Introduction to state model
state equation
state model of linear system
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Introduction to state transition matrix
representation of state transition matrix
Topics covered
Q1) Determine the state transition matrix of given model
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Q2) Determine the state transition matrix of given model
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Q) Obtain the state model of the electrical network shown in figure by choosing V1(t) and V2(t) as state variable
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Q) Construct the state model of mechanical system shown in figure
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Concept of controllability and observability
Kalman's test of controllability
Kalman's test for observability
Topics covered
00:00 - State equation representation of block diagram
08:37 - Controllability and observability testing using Kalman's testing