Journal
INTERNATIONAL JOURNAL OF CONTROL
Volume 87, Issue 3, Pages 600-611Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2013.852248
Keywords
nonlinear system; uncertain control coefficient; adaptive disturbance attenuation; output feedback; polynomial-of-output growth rate
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Funding
- National Natural Science Foundation of China [61104069, 61273084, 61233014, 61174208]
- Natural Science Foundation for Distinguished Young Scholar of Shandong Province of China [JQ200919]
- Independent Innovation Foundation of Shandong University [2012JC014]
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In 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 L-2-gain.
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