Disturbance rejection of left-invertible generalized state space systems

Disturbance rejection of left-invertible generalized state space systems

A new approach is presented for the study of the disturbance rejection of left-invertible generalized state space systems via pure proportional state feedback, reducing the problem to that of solving a linear algebraic system of equations. On the basis of this system of equations, the necessary and...

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Veröffentlicht in:IEEE transactions on automatic control 1994-01, Vol.39 (1), p.185-190
Hauptverfasser: Paraskevopoulos, P.N., Koumboulis, F.N., Tzierakis, K.G.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Chaos
Computer science
control theory
systems
Control system synthesis
Control systems
Control theory. Systems
Convergence
Delay effects
Distributed computing
Equations
Exact sciences and technology
Stability
State-space methods
Stochastic processes
Sufficient conditions
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Beschreibung
Zusammenfassung:A new approach is presented for the study of the disturbance rejection of left-invertible generalized state space systems via pure proportional state feedback, reducing the problem to that of solving a linear algebraic system of equations. On the basis of this system of equations, the necessary and sufficient conditions for the problem to have a solution are established in a form of simple algebraic criteria (thus reducing the computational effort over known results), and the general analytical expressions of the controller matrices are derived. The structural properties of the closed-loop system (feedback invariant poles, disturbance rejection with simultaneous elimination of the infinite poles) are studied.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.273365