This paper proposes the event-triggered control of positive systems with state saturation both in discretetime and continuous-time cases. A 1-norm based event-triggered mechanism is established for positive systems. Under the event-triggered mechanism, the error term between actual and sample states is transformed into intervaluncertain form. Together with the properties of saturation, the systems with state saturation are transformed intointerval uncertain systems and the corresponding lower and upper bounds of the system matrices are obtained,respectively. Using a linear co-positive Lyapunov function, the event-triggered controller and the auxiliary gainmatrix of the domain of attraction are designed in terms of linear programming, respectively. Then, the systemswith state and input saturation are also described via interval uncertain systems. An event-triggered controller isdesigned and thus the closed-loop systems are positive and stable under the designed controller. Furthermore, thepresented event-triggered control approach is extended to the continuous-time case. Compared to existing controlapproaches, the event-triggered control can reduce energy consumption and increase the practicability. Finally,several numerical examples are given to illustrate the effectiveness of the proposed design
This paper proposes the event-triggered control of positive systems with state saturation both in discretetime and continuous-time cases. A 1-norm based event-triggered mechanism is established for positive systems. Under the event-triggered mechanism, the error term between actual and sample states is transformed into intervaluncertain form. Together with the properties of saturation, the systems with state saturation are transformed intointerval uncertain systems and the corresponding lower and upper bounds of the system matrices are obtained,respectively. Using a linear co-positive Lyapunov function, the event-triggered controller and the auxiliary gainmatrix of the domain of attraction are designed in terms of linear programming, respectively. Then, the systemswith state and input saturation are also described via interval uncertain systems. An event-triggered controller isdesigned and thus the closed-loop systems are positive and stable under the designed controller. Furthermore, thepresented event-triggered control approach is extended to the continuous-time case. Compared to existing controlapproaches, the event-triggered control can reduce energy consumption and increase the practicability. Finally,several numerical examples are given to illustrate the effectiveness of the proposed design