Title
Analysis and LQOptimal Control of Distributed Parameter Systems: Application to convectionreaction processes,Used
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This thesis deals with the synthesis of optimal control laws with a view to regulate the temperature and the reactant concentration of a nonisothermal plug flow reactor model. Several tools of linear and semilinear infinitedimensional system theory are extended and/or developed, and applied to this model. On the one hand, the concept of asymptotic stability is studied for a class of infinitedimensional semilinear Banach state space systems. Asymptotic stability criteria are established, which are based on the concept of strictly mdissipative operator. This theory is applied to a nonisothermal plug flow reactor. On the other hand, the concept of optimal LinearQuadratic (LQ) feedback is studied for class of infinitedimensional linear systems. This theory is applied to a linearized plug flow reactor model in order to design an LQ optimal feedback controller. Then the resulting nonlinear closedloop system performances are analyzed. Finally this control design strategy is extended to a large class of firstorder hyperbolic PDEs systems.
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