tailieunhanh - Báo cáo hóa học: " Research Article Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011 Article ID 738285 13 pages doi 2011 738285 Research Article Stability Analysis and Intermittent Control Synthesis of a Class of Uncertain Nonlinear Systems Yali Dong 1 Shengwei Mei 2 and Jinying Liu1 1 School of Science Tianjin Polytechnic University Tianjin 300160 China 2 Department of Electrical Engineering Tsinghua University Beijing 100084 China Correspondence should be addressed to Yali Dong dongyl@ Received 4 November 2010 Revised 7 January 2011 Accepted 10 January 2011 Academic Editor Andrea Laforgia Copyright 2011 Yali Dong et al. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. This paper investigates the problem of exponential stabilization for a class of uncertain nonlinear systems by means of periodically intermittent control. Several sufficient conditions of exponential stabilization for this class of uncertain nonlinear systems are formulated in terms of a set of linear matrix inequalities by using quadratic Lyapunov function and inequality analysis technique. Also the synthesis of stabilization periodically intermittent state feedback controllers is present such that the close-loop system is exponentially stable. A simulation example is given to illustrate the effectiveness of the proposed approach. 1. Introduction In recent years significant interest in the study of stability analysis and control design of nonlinear systems has aroused 1-5 . In 4 the problem of the stabilization of affine nonlinear control systems via the center manifold approach was considered. In 5 a stabilizing output feedback model with a predictive control algorithm was proposed for linear systems with input constraints. Recently incontinuous control techniques such as impulsive control 6 and piecewise feedback .