‐gain control on positive impulsive system via a hybrid proportional plus integral algorithm
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Bibliographic record
Abstract
In this study, the ‐gain control issues on positive system are investigated. A hybrid proportional impulsive with integral (PII) control scheme is proposed. This impulse‐time‐dependent control algorithm uses the proportional control action at impulse instants for stabilising, and applies the integral control strategy between impulse time intervals for improving the state convergence, respectively. The average impulsive interval approach and co‐positive Lyapunov function method are employed to derive the sufficient conditions. Then ‐gain performance of the impulsive positive system can be guaranteed by solving the linear programming problem. In addition, iterative convex optimisation algorithm is presented for the design of PII control gain matrices. Numerical examples illustrate the expected results of this design.
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| Category | Codex | Gemma |
|---|---|---|
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| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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