Simulation verification of virtual equivalent system theory

In recent years, virtual equivalent system (VES) theory for self-tuning control has been established. Based on VES concept and methodology, we have a unified understanding and judgment of the stability and convergence of a general self-tuning control (STC) system. The necessary conditions for global stability and convergence are relaxed, i.e., the convergence of parameter estimates is removed. This paper presents a simulation verification of the input-output equivalence between the original STC and its VES. The simulation results support the VES theory.