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.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Theoretical Computer Science
- Computer Science Applications