High-gain observer based decentralised output feedback control for interconnected nonlinear systems with unknown hysteresis input. (English) Zbl 1278.93125
Summary: In this paper, an adaptive dynamic surface control is proposed for a class of interconnected nonlinear systems with inputs preceded by unknown saturated PI hysteresis. By using the proposed dynamic surface control scheme, the explosion of complexity problem when the hysteresis is fused with backstepping design can be eliminated which, together with the estimation of vector norm of the unknown parameters, greatly simplifies the control law and reduces the computational burden. Moreover, by introducing an initialisation technique, the \(\mathcal L_\infty\) tracking performance of each subsystem can be guaranteed, which, for the first time, establishes the relationship between \(\mathcal L_\infty\) tracking performance and design parameters in the interconnected system.
MSC:
| 93B52 | Feedback control |
| 93A14 | Decentralized systems |
| 93C10 | Nonlinear systems in control theory |
| 93C15 | Control/observation systems governed by ordinary differential equations |
Keywords:
dynamic surface control; output feedback; Prandtl-Ishilinskii (PI) hysteresis; high-gain observer; \(\mathcal L_\infty\) tracking performanceReferences:
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