Abstract
For SISO control, eigenvalue assignment is performed in frequency domain, additionally subject to one or several conditions on performance, robustness or stability margin. This can be achieved by implementing the controller with enhanced order, i.e., higher than the order of the plant. Incremental learning is used for obtaining a given H∞ norm.
Zusammenfassung
Für Eingrößenregelungen wird die Eigenwertvorgabe im Frequenzbereich besorgt, und zwar zusätzlich unter einer oder mehrerer Bedingungen über Regelgüte, Robustheit oder Stabilitätsrand. Erreicht wird dies, indem der Regler mit erhöhter Ordnung ausgeführt wird, einer Ordnung, die höher ist als die der Regelstrecke. Für die H∞-Norm kommt ein inkrementeller Lernvorgang zum Einsatz.
Similar content being viewed by others
References
Chen, B. M., Saberi, A., Sannuti, P., Shamash, Y. (1992): Loop transfer recovery for general nonminimum-phase discrete-time systems, Part 2. Proc. American Control Conf. 4: 3108–3112.
Chu, E. K., Datta, B. N. (1996): Numerically robust pole assignment for second-order systems. Int. J. Control 64: 1113–1127.
Chu, E. K. (2002): Pole assignment for second-order systems. Mechanical Systems and Signal Processing 16: 39–59.
Doyle, J. C., Stein, G. (1981): Multivariable feedback design: Concepts for a classical/modern synthesis. IEEE-Trans. AC-26: 4–16.
Juang, J. N., Maghami, P. G. (1990): Robust eigensystem assignment for second-order dynamic systems. AIAA Dynamics Specialist Conf., Long Beach, CA, pp. 10–18.
Korn, U., Wilfert, H.-H. (1982): Mehrgrößenregelungen. WienNew York: Springer.
Lam, J., Yan, Wei-Yong, Hu, Tingshu (1999): Pole assignment with eigenvalue and stability robustness. Int. J. Control 72: 1165–1174.
Lohsoonthorn, P., Jonckheere, E., Dalzell, S. (2001): Eigenstructure vs constrained H∞ design for hypersonic winged cone. J. Guidance Control Dynamics 24: 648–658.
Preuss, H. P. (1979): Zustandsregler-Entwurf durch näherungsweise Lösung der multilinearen Bestimmungsgleichungen des Polvorgabeproblems. Regelungstechnik 27: 326–332.
Verde, C., Ortiz-Martello, A. (1991): Eigenvalues assignment with sensitivity miminization. Proc. American Automatic Control Conference 1: 128–129.
Weinmann, A. (1991): Uncertain models and robust control. WienNew York: Springer.
Weinmann, A. (1995): Regelungen, Bd. 2. WienNew York: Springer.
Weinmann, A. (2002): Robust dynamics and control. Int. J. Automation Austria 10: 1–65.
Weinmann, A. (2003): Multi-Lagrange-multiplier problems: Desensitized pole assignment with minimial controller matrix norm for networked control systems and constraints in high-order mechatronics. Math. Comp. Model. Dyn. Sys. 9: 345–362. Swets & Zeitlinger Publishers.
Weinmann, A. (2004): Robustified enhanced-order controllers satisfying additional conditions. Int. J. Automation Austria (submitted).
Zhang, D., Wu, J. (2002): Multi-objective robust H∞ filtering for delta operator formulated uncertain discrete-time systems. Proc. 2nd Int. Symp. on Instrumentation Science and Technology 3: 810–815.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Weinmann, A. Eigenvalue assignment for robust controllers of enhanced order. Elektrotech. Inftech. 121, 268–274 (2004). https://doi.org/10.1007/BF03055375
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03055375
Keywords
- incremental learning
- controller design
- performance
- disturbance attenuation
- reduction of noise influence
- minimum controller parameters
- pole assignment
- sensitivity
- stability radius