EE2022 ADVANCED CONTROL SYSTEM
To gain knowledge in state variable analysis, non-linear systems and optimal control.
OBJECTIVES
To study the state variable analysis
To provide adequate knowledge in the phase plane analysis.
To give a basic knowledge in describing function analysis.
To analyze the stability of the systems using different techniques.
To study the design of optimal controller.
UNIT I STATE VARIABLE ANALYSIS 9
Concept of state – State Variable and State Model – State models for linear and
continuous time systems – Solution of state and output equation – controllability and
observability - Pole Placement – State observer Design of Control Systems with
observers.
UNIT II PHASE PLANE ANALYSIS 9
Features of linear and non-linear systems - Common physical non-linearities – Methods
of linearising non-linear systems - Concept of phase portraits – Singular points – Limit
cycles – Construction of phase portraits – Phase plane analysis of linear and non-linear
systems – Isocline method.
UNIT III DESCRIBING FUNCTION ANALYSIS 9
Basic concepts, derivation of describing functions for common non-linearities –
Describing function analysis of non-linear systems – Conditions for stability – Stability of
oscillations.
UNIT IV STABILITY ANALYSIS 9
Introduction – Liapunov’s stability concept – Liapunov’s direct method – Lure’s
transformation – Aizerman’s and Kalman’s conjecture – Popov’s criterion – Circle
criterion.
UNIT V OPTIMAL CONTROL 9
Introduction -Decoupling - Time varying optimal control – LQR steady state optimal
control – Optimal estimation – Multivariable control design.
TOTAL : 45 PERIODS
TEXT BOOKS
1. I.J. Nagrath and M. Gopal, ‘Control Systems Engineering’, New Age International
Publishers, 2003.
2. Ashish Tewari, ‘Modern control Design with Matlab and Simulink’, John Wiley, New
Delhi, 2002.
REFERENCES
1. George J. Thaler, ‘Automatic Control Systems’, Jaico Publishers, 1993.
2. M.Gopal, Modern control system theory, New Age International Publishers, 2002.
3. Gene F. Franklin, J. David Powell and Abbasemami-Naeini, “ Feedback Control of
Dynamic Systems”, Fourth edition, Pearson Education, Low price edition. 2002.
To gain knowledge in state variable analysis, non-linear systems and optimal control.
OBJECTIVES
To study the state variable analysis
To provide adequate knowledge in the phase plane analysis.
To give a basic knowledge in describing function analysis.
To analyze the stability of the systems using different techniques.
To study the design of optimal controller.
UNIT I STATE VARIABLE ANALYSIS 9
Concept of state – State Variable and State Model – State models for linear and
continuous time systems – Solution of state and output equation – controllability and
observability - Pole Placement – State observer Design of Control Systems with
observers.
UNIT II PHASE PLANE ANALYSIS 9
Features of linear and non-linear systems - Common physical non-linearities – Methods
of linearising non-linear systems - Concept of phase portraits – Singular points – Limit
cycles – Construction of phase portraits – Phase plane analysis of linear and non-linear
systems – Isocline method.
UNIT III DESCRIBING FUNCTION ANALYSIS 9
Basic concepts, derivation of describing functions for common non-linearities –
Describing function analysis of non-linear systems – Conditions for stability – Stability of
oscillations.
UNIT IV STABILITY ANALYSIS 9
Introduction – Liapunov’s stability concept – Liapunov’s direct method – Lure’s
transformation – Aizerman’s and Kalman’s conjecture – Popov’s criterion – Circle
criterion.
UNIT V OPTIMAL CONTROL 9
Introduction -Decoupling - Time varying optimal control – LQR steady state optimal
control – Optimal estimation – Multivariable control design.
TOTAL : 45 PERIODS
TEXT BOOKS
1. I.J. Nagrath and M. Gopal, ‘Control Systems Engineering’, New Age International
Publishers, 2003.
2. Ashish Tewari, ‘Modern control Design with Matlab and Simulink’, John Wiley, New
Delhi, 2002.
REFERENCES
1. George J. Thaler, ‘Automatic Control Systems’, Jaico Publishers, 1993.
2. M.Gopal, Modern control system theory, New Age International Publishers, 2002.
3. Gene F. Franklin, J. David Powell and Abbasemami-Naeini, “ Feedback Control of
Dynamic Systems”, Fourth edition, Pearson Education, Low price edition. 2002.
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