The Controller Generated from Noise Can Be Lyapunuov Stable: A Controller Stabilized Method

TL;DR

This paper introduces a Lyapunov-based controller strategy that ensures stability across various control methods, demonstrated through simulations on different system models.

Contribution

It proposes a novel Lyapunov stability-based control approach applicable to diverse control methods, enhancing stability analysis in practical systems.

Findings

Effective control on different system models

Demonstrated stability with Lyapunov functions

Superior control performance in simulations

Abstract

Aiming at the difficulty of stability analysis in practical application of existing control methods, a controller strategy based on lyapunov stability theory is proposed to realize stable control for any control method. In order to illustrate the effectiveness of this control scheme, this paper lists two different lyapunov functions to test the control effect of different system models in tracking the target function. The simulation results show that the proposed method has excellent control effect on different types of systems and is advanced.