摘要
In this paper, we are concerned with the output regulation of an unstable reaction-diffusion PDE with regulator delay and unmatched disturbances, which are generated by an exosystem. A backstepping regulator design procedure is presented by mapping the reaction-diffusion PDE cascaded with a transport equation into an error system, which is shown to be exponentially stable with a prescribed rate in a suitable Hilbert space. The output regulation is then verified by solving cascaded regulator equations. The solvability condition of the cascaded regulator equations is characterized by a transfer function and eigenvalues of the exosystem. Finally, the numerical simulations are provided to illustrate the effect of the regulator.
源语言 | 英语 |
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页(从-至) | 651-656 |
页数 | 6 |
期刊 | IFAC-PapersOnLine |
卷 | 50 |
期 | 1 |
DOI | |
出版状态 | 已出版 - 7月 2017 |