CHAINED EIGENSTRUCTURE ASSIGNMENT FOR STRONGLY CONTROLLABLE SINGULAR SYSTEMS

This paper deals with chained eigenstructure assignment for strongly controllable singular systems of the form Ex (t) = A x(t) + B u(t) with state feedback control of the form u(t) = Kx(t) + w(t). The development of our method depends crucially on the properties of standard form singular systems. The closed-loop system will satisfy the following requirements: regularity, impulse-free response and rank E arbitrary eigenvalues assignment. This parametric characterization conveniently organizes the nonunique gain matrix K to modify the dynamic response of the systems. The result can be used for discrete-time descriptor systems, in which a zero-value eigenvalue may well be a desired closed-loop eigenvalue. One illustrative example is included.