Parameter convergence in adaptive feedback linearizing control of limit cycling systems with input saturation |
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Authors: | Narayan Ananthkrishnan Rashi Bansal Himani Jain Nitin Gupta |
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Affiliation: | (1) Department of Mechanical Engineering, POSTECH, San 31 Hyojading, 790-784 Pohang, Korea;(2) Department of Electrical Engineering, National Taiwan University, 106 Taipei, Taiwan, R.O.C. |
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Abstract: | Adaptive feedback linearizing control schemes are used to suppress limit cycle oscillations in nonlinear systems where the
system parameters are either unknown or uncertain. Parameter convergence is desirable in these schemes as it provides a measure
of robustness of the scheme and also permits the unknown/uncertain system parameters to be estimated. In recent work, we have
shown how using a persistently exciting forcing it is possible to achieve parameter convergence in nonlinear limit cycling
systems. In practice, however, limits on the control input to the plant due to saturation must be considered, and the main
goal of this work is to analyze the effect of input saturation on parameter convergence in an adaptive feedback linearization
framework. In particular, a technique known as control hedging is incorporated and the effectiveness of this method for very
severe saturation constraints has been evaluated. Results are presented for a single degree-of-freedom wing rock dynamics
model and a multi degree-of-freedom combustion acoustics model showing successful parameter convergence even in the presence
of input saturation. |
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Keywords: | |
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