Extended ackermann formula for multivariable control systems

Huann Keng Chiang, Jason S.H. Tsai, York Yih Sun

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


The matrix Cayley-Hamilton theorem is first derived to show that Ackermann's formula for the pole-placement problem of SISO systems can be extended to the case of a class of MIMO systems. Moreover, the extended Ackermann formula newly developed by the authors is employed for fast determination of the desired feedback gain matrix for a general MIMO system with an appropriate artificial input. The proposed method will enhance the application of state-space pole-placement concepts to a general class of multivariable control systems.

Original languageEnglish
Pages (from-to)2113-2127
Number of pages15
JournalInternational Journal of Systems Science
Issue number11
Publication statusPublished - 1990 Nov

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications

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