IJCAS

This study delves into a robust model predictive control method for impulsive positive system, incorporating control input/state constraints and interval uncertain. Initially, a state feedback controller is devised, and sufficient conditions for ensuring positivity and stability of the closed-loop impulsive positive system with interval uncertain are obtained utilizing the linear copositive Lyapunov function and the linear cost function. Subsequently, linear programming techniques are applied to solve the optimization problem, yielding optimal control inputs. This designed control strategy ensures the system’s positivity and stability while meeting control input/state constraints. Lastly, the validity of the approach is proved using numerical simulation examples.

Keywords: Impulsive positive system, interval uncertain, linear programming, robust model predictive control.