A novel immune feedback control algorithm and its applications

Abstract

This paper first analyzes the feedback principle of nature immune system and then the immune process is imitated by virtue of nonlinear molecular dynamics. Then the mathematic model of immune system is founded. The model implicates two important processes in immune system. One is that antibodies (Ab) and killer T cells (Tkill) rapidly respond to the change of the number of antigens (Ag). Another is that suppressor T cells (Tsup) inhibit and adjust the number of Ab and Tkill. The model manifests the good performance that immune system can respond to foreign materials rapidly and stabilize itself simultaneously. In this paper, foreign disturbances, input errors and measurement noises are regarded as Ag. The process in which creature presents immune response, produces antibodies and removes antigens is regarded as the control process of disturbances eliminating and differences adjusting. So, we designed a novel control algorithm based on immune feedback principle (IFC). The results of simulation show that the IFC algorithm can make the system respond quickly and get to steady state rapidly, and has good noise-proof feature. Its performance is superior to that of ordinary controllers. It also shows that the IFC algorithm suits for controlling the large time-delay system especially. © Springer-Verlag Berlin Heidelberg 2004.