Abstract:
This paper describes a controller and observer parameter definition approach
in one input-one output (closed-loop) control systems using Lyapunov
gradient-velocity vector function. Construction of the vector function is
based on the gradient nature of the control systems and the parity of the
vector functions with the potential function from the theory of catastrophe.
Investigation of the closed-loop control system’s stability and solution of the
problem of controller (determining the coefficient of magnitude matrix) and
observer (calculation of the matrix elements of the observing equipment)
synthesis is based on the direct methods of Lyapunov. The approach allows
to select parameters based on the requested characteristics of the system.
