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Keywords
(14)
Chemical Reactors
Dynamic Simulation
Energy Balance
Equilibrium Point
Feedback Control
Interconnected System
Kinetic Energy
lyapunov function
Mechanical Systems
Potential Energy
Process Control
Singular Perturbation
Stability Analysis
Second Order
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Energy shaping plus damping injection control for a class of chemical reactors
Energy shaping plus damping injection control for a class of chemical reactors,10.1016/j.ces.2011.09.002,Chemical Engineering Science,Jesus Alvarez,Jo
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Energy shaping plus damping injection control for a class of chemical reactors
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Jesus Alvarez
,
Jose Alvarez-Ramirez
,
Gerardo Espinosa-Perez
,
Alexander Schaum
Traditionally, stabilization of chemical reacting systems has been achieved with linear P or PD compensation schemes. Practical and numerical results have showed that classical linear compensation can yield acceptable performance. On the other hand, recent years have witnessed the emergence of systematic
feedback control
strategies based on energy and port-interconnected systems. These approaches exploit the physical structure of the chemical reactor to construct compensation schemes with physical appealing. The aim of this work is to show that traditional PD compensation for CSTRs can be interpreted in terms of mechanical system analogies. In the line of energy shaping plus damping injection for robotic systems, it is shown that proportional feedback is a type of
potential energy
shaping to accommodate a unique equilibrium point. On the other hand, derivative control acts as a damping injector for the
energy balance
within the chemical reactor. The stability proof uses a novel approach to convert the temperature dynamics into a second-order systems where the mechanical analogies become more evident. In this way, the
stability analysis
can be performed with
singular perturbation
methods with a
Lyapunov function
for the
energy balance
derived from a “potential plus kinetics” energy construction.
Journal:
Chemical Engineering Science - CHEM ENG SCI
, vol. 66, no. 23, pp. 6280-6286, 2011
DOI:
10.1016/j.ces.2011.09.002
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