Design of regular positive and stable descriptor systems via state-feedbacks for descriptor continuous-time linear systems with singular pencils

被引:1
作者
Kaczorek, Tadeusz [1 ]
机构
[1] Bialystok Tech Univ, Fac Elect Engn, Wiejska 45D, PL-15351 Bialystok, Poland
来源
ARCHIVES OF CONTROL SCIENCES | 2014年 / 24卷 / 03期
关键词
design; positivity; descriptor; linear; system; singular pencil; STRUCTURAL-PROPERTIES;
D O I
10.2478/acsc-2014-0017
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A new method is proposed of design of regular positive and asymptotically stable descriptor systems by the use of state-feedbacks for descriptor continuous-time linear systems with singular pencils. The method is based on the reduction of the descriptor system by elementary row and column operations to special form. A procedure for the design of the state-feedbacks gain matrix is presented and illustrated by a numerical example
引用
收藏
页码:289 / 297
页数:9
相关论文
共 15 条
  • [1] [Anonymous], 1992, LINEAR CONTROL SYSTE
  • [2] [Anonymous], 1989, LECT NOTES CONTROL I
  • [3] [Anonymous], 2000, PUR AP M-WI
  • [4] Bru R, 2003, LECT NOTES CONTR INF, V294, P233
  • [5] Structural properties of positive linear time-invariant difference-algebraic equations
    Bru, R
    Coll, C
    Sánchez, E
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 349 (1-3) : 1 - 10
  • [6] Bru R., 2000, ELECT COMPUT ENG SER, P44
  • [7] Campbell S. L., 1980, Research Notes in Mathematics, V40
  • [8] APPLICATIONS OF DRAZIN INVERSE TO LINEAR-SYSTEMS OF DIFFERENTIAL EQUATIONS WITH SINGULAR CONSTANT COEFFICIENTS
    CAMPBELL, SL
    MEYER, CD
    ROSE, NJ
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1976, 31 (03) : 411 - 425
  • [9] COMMALUT C., 2006, LECT NOTES CONTROL I, V341
  • [10] Drazin M., 1958, AM MATH MONTHLY, V65, P506, DOI [DOI 10.2307/2308576.416, 10.1080/00029890.1958.11991949]