Positive Observers Revisited
This work addresses stabilization issues in control theory for positive linear systems, offering a novel approach that broadens the applicability of observer designs, though it appears incremental in expanding existing methods.
The paper tackled the problem of stabilizing positive linear systems using positive Luenberger-type observers, showing that this is possible by structuring the observer as monotonically converging upper and lower bounds on the state, which contradicts previous conclusions. The results were applied to nonpositive systems and expanded to include stochastic noise, giving conditions for convergence in expectation.
The paper shows that positive linear systems can be stabilized using positive Luenberger-type observers, contradicting previous conclusions. This is achieved by structuring the observer as monotonically converging upper and lower bounds on the state. Analysis of the closed-loop properties under linear observer feedback gives conditions that cover a larger class than previous observer designs. The results are applied to nonpositive systems by enforcing positivity of the dynamics using feedback from the upper bound observer. The setting is expanded to include stochastic noise, giving conditions for convergence in expectation using feedback from positive observers.