Optimization of nonlinear systems using the interval linearization method

The optimization problem of nonlinear autonomous systems is considered. The proposed methodology for synthesis of a suboptimal control is based on an interval model of a nonlinear object that is constructed using the tools of interval analysis. The synthesized control allows one to ensure the stabil ity and suboptimality of the closed-loop system in the mode of large deviat ions from stationary states. An example of using the interval linearization in the control synthesis of an aircraft is presented.