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Abstract
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Thermodynamic system dynamics exhibit strong nonlinearity and high uncertainty. If a simple control law can be employed to regulate the thermodynamicsystem, it will effectively reduce the complexity of engineering implementation, debugging, and maintenance. For mechanical, electrical, and electromagneticsystems, whose energy function is a convex function of the state, the system’s energy can be used as a storage function to design a simple and effective control lawby applying passivity-based control (PBC). Since the energy of a thermodynamic system is a non-convex function of the state, it is necessary to develop suitable PBCby appropriately selecting storage functions based on its characteristics. Based on the principle of irreversible thermodynamics that entropy production reaches aminimum at the steady state, this paper defines entropy production metric, proposes the port-Hamilton realization of the thermodynamic system dynamics withentropy production metric as the storage function, and correspondingly develops the extended state PBC method. Sufficient conditions for closed-loop systemasymptotic stability are given, and the method is applied to design the power control law for a High-temperature Gas-cooled Reactor. Numerical simulation resultsvalidate the control method’s effectiveness and reveal the impact of control gain on control performance
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