Brief paper: Adaptive output control of uncertain nonlinear systems with non-symmetric dead-zone input

Authors:
Hong-Jun Ma;Guang-Hong Yang
Affiliations:
College of Information Science and Engineering, Northeastern University, Shenyang, 110004, PR China and Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northea ...;College of Information Science and Engineering, Northeastern University, Shenyang, 110004, PR China and Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northea ...
Venue:
Automatica (Journal of IFAC)
Year:
2010

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Abstract

This paper deals with the adaptive output feedback control problem of a class of uncertain nonlinear systems with an unknown non-symmetric dead-zone nonlinearity. The nonlinear system considered here is dominated by a triangular system without zero dynamics satisfying polynomial growth in the unmeasurable states. An adaptive control scheme is developed without constructing the dead-zone inverse. The proposed adaptive control scheme requires only the information of bounds of the slopes and the breakpoint of dead-zone nonlinearity. The novelty of this paper is that a universal-type adaptive output feedback controller is numerically constructed by using a sum of squares (SOS) optimization algorithm, which ensures the boundedness of all the signals in the adaptive closed-loop without knowing the growth rate of the uncertainties. An example is presented to show the effectiveness of the proposed approach.