Adaptive Control for Systems with Output Constraints Using an Online Optimization Method

Jiaxing Che (), Michael Santone () and Chengyu Cao ()
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Jiaxing Che: University of Connecticut
Michael Santone: University of Connecticut
Chengyu Cao: University of Connecticut

Journal of Optimization Theory and Applications, 2015, vol. 165, issue 2, No 9, 480-506

Abstract: Abstract In this paper, a new controller framework incorporating an L1 adaptive control and an online optimization scheme is presented. This framework provides a method for maintaining output constraints in the presence of non-linear time-varying matched uncertainties by predicting future output trajectories within a finite time horizon. The stability conditions of the system are derived, and the prediction error is characterized. The online optimization is formulated into a linear program problem for which many efficient algorithms exist. Simulation results demonstrate the effectiveness of the controller framework.

Keywords: Adaptive control; Output constraints; Online optimization; Non-linear time-varying matched uncertainties; L1 adaptive controller; 62P30; 93C40; 90C05 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-014-0615-6

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