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Treatment for prostate cancer can be determined based on nonlinear feedback control. In fixed-time feedback control, the bound of settling time can be pre-specified regardless of an initial condition. This control method has been successfully employed in various applications as seen in past literature. The synergetic control method is capable of controlling nonlinear systems under chattering free control inputs. Thus, studying the application of fixed-time synergetic control to synthesize the treatment for a prostate cancer patient was investigated in this study. The control prostate system was simulated to show the capability of the proposed treatment. Apparently, the state variables of the control system were driven to the required level within the pre-defined bound of the convergence time of the corresponding macro variables by the chattering-free control treatments. According to the proposed control treatment, the control prostate cancer system is fixed-time stable without chattering in the control treatment.
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