Application of the Terminal Synergetic Control for Biological Control of Sugarcane Borer

Sugarcane is an important agricultural commodity in economics that has been harmed by the invasion of sugarcane borer. Establishing a biological pest control strategy for sugarcane using their natural enemies can both protect agricultural products from pest invasion and the environment from chemical toxicity. In this regard, feedback control emerges as a practical and feasible approach to effectively implement the biological control strategy for managing the sugarcane borer. In this work, the terminal synergetic controller (TSC) was designed to develop a control strategy containing multiple inputs. The controller design was conducted based on the pest-parasitoid model. In the design procedure, the auxiliary system was employed to compensate for the input saturation effects. The control stability was conducted through the Lyapunov stability theorem. To confirm the capability and performance of the proposed strategy, the simulation results demonstrate that it can effectively regulate pest population densities at the desired level, comparable to both the conventional sliding mode control (SMC) and verticum-type control (VC) strategies. However, what sets it apart is that the terminal synergetic controller provides the preferable characteristics for controlling the sugarcane borer population which are the finite-time convergence of the control system, and the absence of chattering phenomena in the control inputs.