Realization of a bounded feedback in a nonlinear control problem

  • Authors:

  • R. Gabasov;F. M. Kirillova;E. A. Ruzhitskaya

  • Affiliations:

  • Belarus State University, Minsk, Belarus;Institute of Mathematics, National Academy of Sciences of Belarus, Minsk, Belarus;Francisk Skorina Gomel State University, Gomel, Belarus

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2009

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Abstract

We substantiate a method for design of a limited feedback to control a system whose mathematical model includes a nonlinear state function. Designing such a feedback is based on a positional solution of auxiliary optimal control problems which provides the transition from the vicinity of one equilibrium state to the vicinity of a new equilibrium state and stabilization of the system in the new state. Preassigned additional constrains on the trajectory of the control system are satisfied.