PDE control of heat exchangers by input-output linearization approach

Abstract

design of control laws is based on the concept of characteristic index in the framework of input-output linearization and the closed loop stability is demonstrated using some tools from semigroup theory. The control objective consists in controlling the outlet cold fluid temperature by manipulating the inlet hot fluid temperature. Then, robustness with respect to parameter uncertainty and practical implementation are discussed and a general control strategy is introduced. Both tracking and disturbance rejection performances of the developed control laws are assessed by numerical simulation.

A Concise Review of State Estimation Techniques for Partial Differential Equation Systems

“…DPS examples range from heating and cooling systems [1,2], fluid heat exchangers [3,4], biochemical reactors and similar processes [5][6][7][8], mechanical systems [9][10][11], resource recovery applications (such as under ground oil and water and coal reservoirs) [12,13] to the prediction and control of atmospheric pollution [14], epidemiological modeling [15,16] for the study of infectious diseases spread and the control of forest and meadow fires [17]. The time and space dependence makes the analysis of systems modeled by PDEs more complex than in the lumped-parameter case also depending on the type of boundary conditions.…”