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.