Stability and stabilization for switched positive systems under a weighted MDADT method. (English) Zbl 1489.93099
Summary: The stability and stabilization synthesis problems of the switched positive systems (SPSs) with external disturbances are studied in this paper. For the studied SPSs, a weighted mode-dependent average dwell time (WMDADT) switched strategy has been adopted to analyze the above-mentioned issue, based on which the deficiencies of the existing ADT and MDADT switching techniques can be overcome. By using the adopted strategy, some improved stability conditions that have less conservativeness are presented for the systems under investigation. Moreover, based on the developed stability conditions, an efficient controller design method avoiding computational complexity and eliminating the rank requirement of the controller is presented. In the end, the effectiveness of the method is verified by two numerical examples.
MSC:
| 93D23 | Exponential stability |
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C28 | Positive control/observation systems |
| 93C73 | Perturbations in control/observation systems |
Keywords:
witched positive systems; external disturbance; exponential stability; stabilization controllerReferences:
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