Biological Control and State Feedback Control for Nonlinear Singular System

With respect to the control of the nonlinear singular system whose state-space realization is nonminimum-phase, an effective method for solving the problem is presented. Firstly, derive the state-space realization of the nonlinear singular system. Real analytic functions which can arbitrarily assign the zero dynamics of the state-space realization is obtained, the mathematical formulation of the problem is realized via a PDEs (partial difference equations). Then, the calculated outputs are used to construct a state feedback controlled. The proposed method is applied to SIR epidemic model with Logistic growth control problem; the ultimate aim is to eliminate the disease.