Output regulation for switched singular systems based on a reduced-order error feedback controller. (English) Zbl 1528.93093
Summary: This paper studies the output regulation problem for switched singular systems based on an error feedback controller, where the system is influenced by a switched external system. Through the state coordinate transformation, the issue is transformed into the asymptotic stability problem of switched singular systems with autonomous subsystems. By introducing slack variables, solvable conditions including regulator equations and matrix inequalities are developed under average dwell time switching. It is worth mentioning that the solutions of the regulator equations are represented under some basic assumptions. Based on that and by utilizing the Finsler’s lemma, less-conservative linear matrix inequality (LMI) conditions for the existence of the reduced-order controllers are obtained and the controller design methods are proposed. Finally, two examples are provided to test the correctness of the approaches we propose.
{© 2022 John Wiley & Sons Ltd.}
{© 2022 John Wiley & Sons Ltd.}
MSC:
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93B52 | Feedback control |
| 93D20 | Asymptotic stability in control theory |
Keywords:
average dwell time; error feedback; output regulation; solutions of the regulator equations; switched singular systemReferences:
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