Parametric Solutions to Fully-actuated Generalized Sylvester Equations-The Homogeneous Case
Inspired by the concept of fully-actuation for second-order mechanical systems,in this paper we introduce the definition of fully-actuated generalized Sylvester equations,which are closely related with the various control designs of fully-actuated systems.It is shown that when a general high-order generalized Sylvester equation is fully-actuated,its complete parametric solution can be obtained extremely simply,yet which possesses a very neat explicit closed form.The primary feature of this solution is that the matrix F does not need to be in any canonical form,or may be even unknown a priori,and thus may be set undetermined and used as degrees of freedom beyond the completely free parameter matrix Z.The results provide great convenience to the computation and analysis of the solutions to this class of equations,and can perform important functions in many control systems analysis and design problems involving second-order dynamical systems.
Fully-actuated generalized Sylvester equations Smith form reduction general solutions degree of freedom F-coprimeness
DUAN Guang-Ren
Harbin Institute of Technology,Harbin 150001,P.R.China
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
3863-3868
2014-07-28（万方平台首次上网日期，不代表论文的发表时间）