Passivity analysis and passification of discrete-time hybrid systems

被引：63

作者：

Bemporad, Alberto ^{[1
]}

Bianchini, Gianni ^{[1
]}

Brogi, Filippo ^{[1
]}

机构：

[1] Univ Siena, Dept Informat Engn, I-55 Siena, Italy

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2008年 / 53卷 / 04期

关键词：

discrete-time systems; hybrid systems; linear matrix inequalities; passivity; piecewise affine systems;

D O I：

10.1109/TAC.2008.919564

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For discrete-time hybrid systems in piecewise affine or piecewise polynomial (PWP) form, this note proposes sufficient passivity analysis and synthesis criteria based on the computation of piecewise quadratic or PWP storage functions. By exploiting linear matrix inequality techniques and sum of squares decomposition methods, passivity analysis and synthesis of passifying controllers can be carried out through standard semidefinite programming packages, providing a tool particularly important for stability of interconnected heterogenous dynamical systems.

引用

页码：1004 / 1009

页数：6

共 23 条

[1]

Barbagli F, 2002, IEEE DECIS CONTR P, P917, DOI 10.1109/CDC.2002.1184625

[2] Efficient conversion of mixed logical dynamical systems into an equivalent piecewise affine form [J].