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- W2008542845 abstract "AbstractIn this paper, the adaptive disturbance attenuation via output feedback is investigated for a class of nonlinear systems with uncertain control coefficients. Notably, the considered systems depend on unmeasured states with polynomial-of-output growth rate, and hence the systems have severe unknowns. Due to the existence of both the virtual and actual uncertain control coefficients, we first introduce a suitable state transformation, such that the control design becomes convenient. Then, we construct an appropriate and simple state observer with two important gains, and one gain is large enough to handle the constants appeared in the design procedure, and the other is updated on-line to deal with the polynomial-of-output growth rate of the system. After that, an output feedback controller is proposed based on the observer in a step-by-step manner. Finally, it is shown that, by appropriate choice of the design parameters, the states of the closed-loop system are globally bounded, and the disturbance attenuation is achieved in the sense of -gain.Keywords: nonlinear systemuncertain control coefficientadaptive disturbance attenuationoutput feedbackpolynomial-of-output growth rate Notes1. Throughout this paper, I denotes the identity matrix with appropriate dimension; R denotes the set of all real numbers, Rn denotes the real n-dimensional space; for any vector or matrix X, XT denotes its transpose, and ‖X‖ (i.e.,‖X‖2) and ‖X‖∞ denote the Euclidean norm (or 2-norm), and the infinity norm for vectors, and the corresponding induced norms for matrices, respectively; denotes the space of square integrable functions on [t0, + ∞).Additional informationFundingThis work is supported by National Natural Science Foundation of China [grant number 61104069], [grant number 61273084], [grant number 61233014], [grant number 61174208]; the Natural Science Foundation for Distinguished Young Scholar of Shandong Province of China [grant number JQ200919]; the Independent Innovation Foundation of Shandong University [grant number 2012JC014]." @default.
- W2008542845 created "2016-06-24" @default.
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- W2008542845 date "2013-12-04" @default.
- W2008542845 modified "2023-10-05" @default.
- W2008542845 title "Adaptive disturbance attenuation via output feedback for nonlinear systems with polynomial-of-output growth rate" @default.
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- W2008542845 doi "https://doi.org/10.1080/00207179.2013.852248" @default.
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