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| Global output feedback control of feedforward nonlinear time-delay systems with unknown growth rate and unknown measurement sensitivity |
| WeiyongYu1,KeaoGao1,HongbingZhou2,QiangLiu1 |
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| (1 Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing 102617, China;;2 School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, Henan, China.) |
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| 摘要: |
| This paper discusses the problem of global state regulation via output feedback for a class of feedforward nonlinear time-delay
systems with unknown measurement sensitivity. Different from previous works, the nonlinear terms are dominated by upper
triangular linear unmeasured (delayed) states multiplied by unknown growth rate. The unknown growth rate is composed of
an unknown constant, a power function of output, and an input function. Furthermore, due to the measurement uncertainty
of the system output, it is more difficult to solve this problem. It is proved that the presented output feedback controller can
globally regulate all states of the nonlinear systems using the dynamic gain scaling technique and choosing the appropriate
Lyapunov–Krasovskii functionals. |
| 关键词: Adaptive control · Dynamic gain controllers · Feedforward time-delay systems · Measurement sensitivity · Output feedback |
| DOI：https://doi.org/10.1007/s11768-023-00180-9 |
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| 基金项目:This work was supported by the fund of Beijing Municipal Commission of Education (Nos. 22019821001 and KM202210017001), and the Natural Science Foundation of Henan Province (No. 222300420253). |
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| Global output feedback control of feedforward nonlinear time-delay systems with unknown growth rate and unknown measurement sensitivity |
| Weiyong Yu1,Keao Gao1,Hongbing Zhou2,Qiang Liu1 |
| (1 Academy of Artificial Intelligence, Beijing Institute of Petrochemical Technology, Beijing 102617, China;;2 School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, Henan, China.) |
| Abstract: |
| This paper discusses the problem of global state regulation via output feedback for a class of feedforward nonlinear time-delay
systems with unknown measurement sensitivity. Different from previous works, the nonlinear terms are dominated by upper
triangular linear unmeasured (delayed) states multiplied by unknown growth rate. The unknown growth rate is composed of
an unknown constant, a power function of output, and an input function. Furthermore, due to the measurement uncertainty
of the system output, it is more difficult to solve this problem. It is proved that the presented output feedback controller can
globally regulate all states of the nonlinear systems using the dynamic gain scaling technique and choosing the appropriate
Lyapunov–Krasovskii functionals. |
| Key words: Adaptive control · Dynamic gain controllers · Feedforward time-delay systems · Measurement sensitivity · Output feedback |
