This note considers singular systems of nonlinear differential and algebraic equations (DAEs) whose constrained state space depends on the control inputs. A state-space realization of such systems cannot be derived independently of the controller design. An output feedback precompensator is derived, which results in a modified DAE system whose state-space is invariant under any feedback control law and can be used for output feedback controller synthesis. Its application is illustrated by a nonlinear electrical circuit example.
Bibliographical noteFunding Information:
Manuscript received April 24, 2003; revised June 2, 2004 and April 26, 2005. Recommended by Associate Editor J. M. A. Scherpen. This work was supported in part by Grants NSF/CTS-0234440 and ACS/PRF-38114-AC9. The authors are with the Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455 USA (e-mail: firstname.lastname@example.org). Digital Object Identifier 10.1109/TAC.2005.858650
- Differential and algebraic equations (DAEs)
- Nonlinear control
- Nonlinear electrical circuit
- Singular systems