IC1031 Advanced Control System Syllabus

IC 1031 ADVANCED CONTROL SYSTEM 3 0 0 100

AIM
To gain knowledge in analysis of non-linear system and digital control of linear system.

OBJECTIVES
i. To study the description and stability of non-linear system.
ii. To study the conventional technique of non-linear system analysis.
iii. To study the analysis discrete time systems using conventional techniques.
iv. To study the analysis of digital control system using state-space formulation.
v. To study the formulation and analysis of multi input multi output (MIMO) system.

1. NON-LINEAR SYSTEM – DESCRIPTION & STABILITY 9
Linear vs non-linear – Examples – Incidental and Intentional –
Mathematical description
- Equilibria and linearisation - Stability – Lyapunov function – Construction of Lyapunov
function.

2. PHASE PLANE AND DESCRIBING FUNCTION ANALYSIS 9
Construction of phase trajectory – Isocline method – Direct or numerical integration –
Describing function definition – Computation of amplitude and frequency of oscillation.

3. Z-TRANSFORM AND DIGITAL CONTROL SYSTEM 9
Z transfer function – Block diagram – Signal flow graph – Discrete root locus – Bode
plot.

4. STATE-SPACE DESIGN OF DIGITAL CONTROL SYSTEM 9
State equation – Solutions – Realization – Controllability – Observability – Stability –
Jury’s test.

5. MUTLI INPUT MULTI OUTPUT (MIMO) SYSTEM: 9
Models of MIMO system – Matrix representation – Transfer function representation – Poles and Zeros – Decoupling – Introduction to multivariable Nyquist plot and singular values analysis – Model predictive control.

L = 45 Total = 45
TEXT BOOKS
1. Benjamin C. Kuo, ‘Digital Control Systems’, Oxford University Press, 1992.

2. George J. Thaler, ‘Automatic Control Systems’, Jaico Publishers, 1993.

REFERENCE BOOKS
1. I.J. Nagrath and M. Gopal, ‘Control Systems Engineering’, New Age International Publishers, 2003.

2. Raymond T. Stefani & Co., ‘Design of feed back Control systems’, Oxford University, 2002.

3. William L. Luyben and Michael L. Luyben, ‘Essentials of Process Control’, McGraw Hill International Editions, Chemical Engineering Series, 1997.
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