The Control of a Nonlinear Plant with Constraints on Control Actions from Differential Games Point of View

Abstract

In some situations, it is possible to synthesize control actions for nonlinear systems using the theoretical underpinnings of solving linear-quadratic issues. A technique based on the application of the Riccati equation, the parameters of which depend on the state of the object, is one of the promising and quickly emerging approaches for creating nonlinear regulators. Inconsistent universal algorithms for solving the Riccati equation, whose parameters also rely on the state, as well as the ambiguity of representing a nonlinear system in the form of a linear structural system with state-dependent parameters, lead to a variety of potential inferior solutions. In the paper, a technique for synthesizing guaranteed control for a nonlinear indefinite object with state-dependent characteristics is proposed.