Feedback Control for Quadratic Nonlinear Systems
作者单位：Department of Electrical and Computer Engineering Louisiana State UniversityBaton Rouge Louisiana USA.
会议名称：《第24届中国控制与决策会议》
会议日期：2012年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程]
基 金：supported by the National Science Foundation underIGERT Grant No. 0504507 the generous support from NSF IGERT program under Grant No. 0504507
关 键 词：nonlinear systems quadratic stability flow control LMI
摘 要：We propose two state feedback control strategies based on quadratic stability for quadratic nonlinear systems, specifically reduced order fluid flow models. Stabilizing linear controllers are designed at each operating point, but unlike traditional linear designs, the nonlinear dynamics are taken into account during the design process by representing them as elements of a bounding set. By solving a set of linear matrix inequalities an estimate of the region of attraction at each operating point of the closed loop system is presented. The overall design consists of a sequence of linear controllers that regionally stabilize and enlarge the region of attraction of the desired operating points. Under the assumption that the system admits a centered- -cover, a switching strategy is proposed that achieves semiglobal stabilization of the nonlinear system.