Control of nonlinear plants with state-dependent coefficients

The theoretical fundamentals for solving the linear quadratic problems may be sometimes used to design the control actions for the nonlinear systems. The method relying on the Riccati equation with state-dependent coefficients is one of the promising and rapidly developing tools for design of the nonlinear controllers. The set of possible suboptimal solutions is generated by the ambiguous representation of the nonlinear system as a linearly structured system with state-dependent coefficients and the lack of sufficiently universal algorithms to solve the Riccati equation also having state-dependent coefficients. The paper proposed a method to design a guaranteed control for the uncertain nonlinear plant with state-dependent parameters. An example of designing the controller for an uncertain nonlinear system was presented.