Method of Parametric Optimization of Nonlinear Continuous Systems of Joint Estimation and Control

Abstract

A synthesis problem for the optimal control on average of a bunch of trajectories of a nonlinear deterministic dynamic system that originates from the given set of initial states is considered, and the control is performed using the results of estimation of the state vector generated by a nonlinear state observer using the incoming measurements. The control laws for the model of the control plant and for the observer are found simultaneously by solving the parametric optimization problem by one of the metaheuristic algorithms. The proposed algorithm for solving the problem is illustrated by two examples of control of the three-dimensional chaotic nonlinear dynamic systems.