ISE-optimal nonminimum-phase compensation for nonlinear processes |
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Authors: | Costas Kravaris Dimitra Mousavere |
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Affiliation: | aDepartment of Chemical Engineering, University of Patras, 26500 Patras, Greece |
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Abstract: | This work concerns the optimal regulation of single-input–single-output nonminimum-phase nonlinear processes. The problem of calculation of an ISE-optimal, statically equivalent, minimum-phase output for nonminimum-phase compensation is formulated using Hamilton–Jacobi theory and the normal form representation of the nonlinear system. A Newton–Kantorovich iteration is developed for the solution of the pertinent Hamilton–Jacobi equations, which involves solving a Zubov equation at each step of the iteration. The method is applied to the problem of controlling a nonisothermal CSTR with Van de Vusse kinetics, which exhibits nonminimum-phase behaviour. |
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Keywords: | Process control Nonlinear control Nonlinear systems Nonminimum-phase systems Optimal control |
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