Analysis and control of nonlinear systems with stationary sets

Аннотация

Control theory has been well developed in the last 80 years ever since the establishment of the Nyquist criterion in the 1930s. , A central issue in control science is to analyze the stability of specific motions and to design controllers to realize those motions even when the systems are subject to uncertainties or perturbations. Using a simple algebraic technique, the aforementioned problem can be transformed into the stability problem of a system at its equilibrium, and the design of a controller is to make the corresponding close-loop system stable.