Abstract
The trace of inverse coefficient matrix method in state space is used to implement and simplify an iterative design of a control system with main interest in increasing dynamical performance quality or to check if stability danger exists. The tau -locus is a helpful design element. Various applications and examples are presented for illustration.
Highlights
The term of holistic controller can be renamed in more detail by Trace of inverse matrix method, i.e., as specified in [3, 5], τ = − i(1/λi[A]) = −tr[A−1]
If the comparison of the factors is performed by replacing s by numerical values, there should be used more than three numerical values inserted. This is useful for applying pseudo inverse matrix
The τ -locus with the parameter μ valuates the magnitude of the controller norm for the purpose of direct control system design
Summary
The trace of inverse coefficient matrix method in state space is used to implement and simplify an iterative design of a control system with main interest in increasing dynamical performance quality or to check if stability danger exists. The τ -locus is a helpful design element. Various applications and examples are presented for illustration. Die Methode der Spur der inversen Koeffizientenmatrix im Zustandsraum wird verwendet, den inkrementalen Entwurf eines Regelkreises zu besorgen und zu vereinfachen. Hauptinteresse liegt dabei darin, die dynamische Übertragungsqualität zu verbessern oder Stabilitätsgefahren aufzuzeigen. Der geometrische τ -Ort der inversen Eigenwerte ist ein hilfreiches Entwurfselement. Verschiedene Anwendungen und Beispiele werden zur Veranschaulichung präsentiert. Schlüsselwörter: Reglerentwurf; Reglernorm; chordale Projektion; τ -Wurzelort; τ -Vorgabe
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