L2-stabilization of continuous-time linear systems with saturating actuators

被引:26
作者
Castelan, E. B.
Tarbouriech, S.
Gomes da Silva, J. M., Jr.
Queinnec, I.
机构
[1] Univ Fed Santa Catarina, DAS, BR-88040900 Florianopolis, SC, Brazil
[2] CNRS, LAAS, F-31077 Toulouse 4, France
[3] Univ Fed Rio Grande do Sul, DELET, BR-90035190 Porto Alegre, RS, Brazil
关键词
saturations; L-2-disturbances; state feedback; input-to-state stability; LMIs;
D O I
10.1002/rnc.1118
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 [计算机科学与技术];
摘要
This paper addresses the problem of controlling a linear system subject to actuator saturations and to L-2-bounded disturbances. Linear matrix inequality (LMI) conditions are proposed to design a state feedback gain in order to satisfy the closed-loop input-to-state stability (ISS) and the closed-loop finite gain L-2 stability. By considering a quadratic candidate Lyapunov function, two particular tools are used to derive the LMI conditions: a modified sector condition, which encompasses the classical sector-nonlinearity condition considered in some previous works, and Finsler's Lemma, which allows to derive stabilization conditions which are adapted to treat multiple objective control optimization problems in a potentially less conservative framework. Copyright (C) 2006 John Wiley & Sons, Ltd.
引用
收藏
页码:935 / 944
页数:10
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