Type-2 backstepping T-S fuzzy control of niche situation function factors

Niche dynamics reflect the competitive shifts of individual organisms within ecosystems and the overall operational status of ecosystems. However, higher-order niche situation systems exhibit complex nonlinearities and parameter uncertainties, rendering traditional Type-1 fuzzy control incapable of precisely handling inherent fuzziness and environmental disturbances in complex environments. To address this, this paper introduces a Backstepping control method based on Type-2 T-S fuzzy control. The ecological niche state function serves as the backend for constructing the inference layer of a type-II T-S fuzzy system, approximating the system’s unknown nonlinear functions and characterizing dual uncertainties. Building upon the fuzzy inference layer, backstepping control is introduced for hierarchical recursive design of high-order systems, progressively constructing virtual controllers and deriving actual control laws. For system stability assurance, the Type-II T-S fuzzy control reduces uncertainty disturbances through precise nonlinear approximation, laying the foundation for stable controller design. During the recursive process, the backstepping control constructs Lyapunov functions for each subsystem and derives parameter adaptation laws based on strictly negative definite derivative conditions, rigorously ensuring the global uniformly boundedness of all signals in the closed-loop system. Simulation results demonstrate that Type-2 Backstepping T-S fuzzy control significantly outperforms traditional Type-1 control and Type-2 T-S adaptive fuzzy control in handling the complexity and uncertainty of high-order niche situation systems. This not only validates the adaptive, self-developing capabilities and environmental utilization efficiency of biological organisms but also provides a robust physical foundation for this control approach.