Fuzzy Adaptive Command-Filter Control of Incommensurate Fractional-Order Nonlinear Systems

This paper focuses on the command-filter control of nonstrict-feedback incommensurate fractional-order systems. We utilized fuzzy systems to approximate nonlinear systems, and designed an adaptive update law to estimate the approximation errors. To overcome the dimension explosion phenomenon in the backstepping process, we designed a fractional-order filter and applied the command filter control technique. The closed-loop system was semiglobally stable, and the tracking error converged to a small neighbourhood of equilibrium points under the proposed control approach. Lastly, the validity of the developed controller is verified with simulation examples.

Automated summary

This paper focuses on the command-filter control of nonstrict-feedback incommensurate fractional-order systems. Fuzzy systems were used to approximate nonlinear systems, and an adaptive update law was designed to estimate the approximation errors. To address the dimension explosion phenomenon in the backstepping process, a fractional-order filter was designed and the command filter control technique was applied. The proposed control approach ensured semiglobal stability of the closed-loop system and convergence of the tracking error to a small neighbourhood of equilibrium points. Finally, the developed controller was validated through simulation examples.