Adaptive regulation of a class of uncertain nonlinear systems by output feedback
This paper studies the problem of global stabilization by output feedback for a family of uncertain nonlinear systems without zero dynamics. The class of uncertain systems under consideration is assumed to be dominated by a bounding system, which is of polynomial growth in the unmeasurable states and can be a polynomial function of the system output, with unknown growth rate. To achieve global state regulation in the presence of parametric uncertainty, we propose a nonidenti fier based output feedback control scheme by employing the idea of universal control integrated with the design of a linear high-gain observer, whose gains are composed of two components, both of them are not constant and need to be dynamically updated. 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 can globally regulate all the states of the uncertain systems while maintaining global boundedness of the closed-loop system. An example is presented to show the effectiveness of this methodology.
Nonlinear systems output feedback universal adaptive control sum of squares.
Liang Dong Hongjun Ma Lin Li
College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110004, College of Information Science and Engineering, Northeastern University, Shenyang, 110004
国际会议
2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)
四川绵阳
英文
2452-2457
2011-05-23（万方平台首次上网日期，不代表论文的发表时间）