An output feedback precompensator for nonlinear DAE systems with control-dependent state-space

• Published in: IEEE transactions on automatic control Vol. 50; no. 11; pp. 1831 - 1835
• Main Authors: Contou-Carrere, M.-N., Daoutidis, P.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.11.2005; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Chemical engineering; Circuit synthesis; Computer science; control theory; systems; Control system synthesis; Control systems; Control theory. Systems; Design engineering; Differential algebraic equations; Differential and algebraic equations (DAEs); Differential equations; Electric circuits; Exact sciences and technology; Invariants; Mathematical analysis; nonlinear control; Nonlinear control systems; Nonlinear dynamical systems; nonlinear electrical circuit; Nonlinear equations; Nonlinearity; Output feedback; singular systems; State-space methods; Invariant; Singularity; singular systems; nonlinear control; System realization; Differential equation; Control program; Non linear control; Feedback regulation; Control synthesis; State space method; Equations of state; nonlinear electrical circuit; Algebraic equation; Differential and algebraic equations (DAEs); State dependence; Output feedback
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2005.858650

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.