Bumpless transfer control for switched positive linear systems with \(L_1\)-gain property. (English) Zbl 1429.93167
Summary: This study concentrates on the problem of bumpless transfer control for a category of switched positive linear systems with \(L_1\)-gain property. The objective is to reduce the control bumps at switching instants and to maintain the \(L_1\)-gain property as well. For a system in this category with pre-designed controllers, a controller gain interpolation technique is employed to realize the bumpless transfer control. Under the bumpless transfer controllers, the system can satisfy the \(L_1\)-gain property for any switching rules with a dwell time restraint. For the general case, that is, the controllers are to be designed, the bumpless transfer performance is described by a magnitude constraint on the control signal. By co-design of the controllers and switching scheme, we solve the issue of bumpless transfer control for the system with \(L_1\)-gain property, even if the problem of the subsystems is unsolvable. Also, a sufficient condition ensuring the bumpless transfer performance and the \(L_1\)-gain property is obtained. Finally, via controlling a turbofan model, we illustrate the effectiveness of the presented control strategies.
MSC:
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93C28 | Positive control/observation systems |
| 93C05 | Linear systems in control theory |
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