Current Research
- Dynamics
We are studying discontinuous dynamical systems that
exhibit the property of sliding.? A large number of systems, including large industrial
polymer reactors and modelled by differential algebraic equations (DAEs) have been shown
to exhibit this behaviour. The concept of equivalent dynamics has been shown to speed up
sliding DAE systems by 10,000 times.
- Control
We are looking at the control of chemical processes,
especially reactors. We have effectively controlled reactors that exhibit nonlinearities
and modelled by DAEs through simple controllers, such as, lead and PID.
We have also successfully applied control techniques
in network related applications.? We have shown that a combination of ARX modelling strategy
and an adaptively detuned proportional controller chould help reduce the network traffic
substantially without affecting the fidelity. We have also looked at control of systems,
such as, aninverted pendulum through internet. Handling of performance deterioration through
network delays is being studied.
- Simulation
We have worked on the topic of simulation methodologies
and simulation environments through modern computing tools.? This approach hasbeen applied
to simulation of neuro transmission in muscle cells.Automatic model derivation from first
principles and data driven modelgeneration are some focus areas.
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Selected Publications
- K. M. Moudgalya and V. Ryali,"A class of discontinuous
dynamical systems I. An ideal gas-liquid system", Chemical Engineering Science, Vol. 56,
3595-3609, 2001.
- K. M. Moudgalya, S. K. Singh, K. P. Madhavan and G. Jain),
"A class of discontinuous dynamical systems IV. A laboratory air-water system",
Chemical Engineering Science, Vol. 58, 3973-3983, 2003.
- N. M. Rao, P. Vora and K. M. Moudgalya, "PID control
of DAE systems", I&EC Research, Vol. 42, pp. 4599-4610, 2003.
- S. A. V. Manickam, K. M. Moudgalya and A. K. Pani,
"Higher order fully discrete scheme combined with H^1-Galerkin mixed finite element method
for semilinear reaction-diffusion equations", Journal of Applied Mathematics and Computing,
In Print.
- R. K. Majumdar, K. M. Moudgalya and K. Ramamritham,
"Adaptive Coherency Maintenance Techniques for Time-Varying Data", The 24th IEEE International
Real-Time Systems Symposium (RTSS), Cancun, 3-5, December 2003.
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