Nonlinear controller design via approximate solution of Hamilton-Jacobi equations Conference Paper uri icon

abstract

  • This work develops a numerical algorithm for the calculation of an optimal nonlinear state feedback law for nonlinear systems. A quadratic performance index is used which contains quadratic error terms, and quadratic input penalty terms. The optimization problem is solved using the Hamilton-Jacobi equations, which determine the optimal nonlinear state feedback law. A Newton-Kantorovich iteration is developed for the solution of the pertinent Hamilton-Jacobi equations, which involves solving a Zubov partial differential equation, at each step of the iteration, using a power series method. At step N of the iteration, the method generates the (N+1)-th order truncation of the Taylor series expansion of the optimal state feedback function. The method is also applied to the problem of ISE-optimal nonminimum-phase compensation for nonlinear systems. Finally, the results are applied to the problem of controlling a nonisothermal continuous stirred tank reactor with van de Vusse kinetics.

published proceedings

  • 2005 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL & 13TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1 AND 2

author list (cited authors)

  • Mousavere, D., & Kravaris, C.

complete list of authors

  • Mousavere, D||Kravaris, C

publication date

  • December 2005