The proposed composite controller improves output stabilization and disturbance rejection in positive linear systems, highlighting its robustness without full-state measurement.
This article addresses the disturbance rejection and output stabilization control of positive linear systems. First, two disturbance observers (DOs) are proposed to estimate actuator‐channel and sensor‐channel disturbances, while a positive state observer is designed for state estimation. Subsequently, a state observer‐based controller is constructed, integrated with a static output feedback controller and the outputs of the two DOs, to form a composite controller. Without relying on the full‐state measurement, this design ensures that disturbances are compensated, and the positivity and stability of the closed‐loop system are guaranteed. Finally, a linear programming‐based iterative optimization algorithm is developed to compute feasible gains for the controller and observers, and its effectiveness is verified through two numerical simulations.
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Zhou et al. (2025) studied this question.
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