Decoupling of square singular systems via proportional state feedback. (English) Zbl 0726.93013

Ailon, Amit

IEEE Trans. Autom. Control 36, No. 1, 95-102 (1991).

The author presents necessary and sufficient conditions for the decoupling of a solvable square singular system \(E\dot x(t)=Ax(t)+Bu(t)\) with output \(y=Dx(t)\), via an admissible control law of the form \(u(t)=Kx(t)+Hr(t)\) (where H is a square nonsingular matrix). He shows that there exists a proportional state feedback for which the system’s transfer function is a diagonal, nonsingular and proper rational matrix. The proofs of the main results are constructive and provide a procedure for computing an appropriate proportional state feedback.

Reviewer: S.Anita (Iaşi)

MSC:

93B11	System structure simplification
93C05	Linear systems in control theory
93C15	Control/observation systems governed by ordinary differential equations
93C99	Model systems in control theory
34A09	Implicit ordinary differential equations, differential-algebraic equations

Keywords:

square singular system; state feedback; time-invariant