Pole-placement for SISO linear systems by state-derivative feedback

被引:84
作者
Abdelaziz, THS [1 ]
Valásek, M [1 ]
机构
[1] Czech Tech Univ, Dept Mech, Fac Mech Engn, Prague 12135 2, Czech Republic
来源
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS | 2004年 / 151卷 / 04期
关键词
D O I
10.1049/ip-cta:20040660
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 procedure for solving the pole-placement problem for a linear single-input/single-output (SISO) systems by state-derivative feedback is described. This pole-placement problem is always solvable for controllable systems if all eigenvalues of the original system are nonzero. Then any arbitrary closed-loop poles can be placed to achieve the desired system performance. The solution procedure results in a formula similar to the Ackermann one. Its derivation is based on the transformation of a linear SISO system into Frobenius canonical form by co-ordinate transformation, then solving the pole-placement problem by state-derivative feedback and transforming the solution into the original co-ordinates. The solution is also extended to time-varying systems.
引用
收藏
页码:377 / 385
页数:9
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