Abstract
This paper discusses the design of observer-based reduced order controllers for the stabilization of large scale linear discrete-time control systems. This design is carried out via deriving a reduced-order model for the given linear plant using the dominant state of the linear plant. Using this reduced-order linear model, sufficient conditions are derived for the design of observer-based reduced order controllers. A separation principle has been established in this paper which demonstrates that the observer poles and controller poles can be separated and hence the pole-placement problem and observer design are independent of each other.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cumming, S.D.: Design of observers of reduced dynamics. Electronics Letters 5, 213–214 (1969)
Fortman, T.E., Williamson, D.: Design of low-order observers for linear feedback control laws. IEEE Trans. Automat. Control 17, 301–308 (1972)
Litz, L., Roth, H.: State decomposition for singular perturbation order reduction – a modal approach. International J. Control 34, 937–954 (1981)
Lastman, G.J., Sinha, N.K., Rozsa, P.: On the selection of states to be retained in a reduced-order model. IEEE Proceedings – Control Theory 131, 15–24 (1984)
Anderson, B.D.O., Liu, Y.: Controller reduction: concepts and approaches. IEEE Trans. Automat. Control 34, 802–812 (1989)
Mustafa, D., Glover, K.: Controller reduction by H  ∞  balanced truncation. IEEE Trans. Automat. Control 36, 668–692 (1991)
Aldeen, M.: Interaction modelling approach to distributed control with application to power systems. International J. Control 53, 1035–1044 (1991)
Aldeen, M., Trinh, H.: Observing a subset of the states of linear systems. IEE Proceedings – Control Theory 141, 137–144 (1994)
Sundarapandian, V.: Distributed control schemes for large-scale interconnected discrete-time linear systems. Mathematical and Computer Modelling 41, 313–319 (2005)
Ogata, K.: Discrete-Time Control System. Prentice Hall, New Jersey (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Madhavan, K., Vaidyanathan, S. (2012). A Novel Design of Reduced Order Controllers Using Exponential Observers for Large-Scale Linear Discrete-Time Control Systems. In: Mathew, J., Patra, P., Pradhan, D.K., Kuttyamma, A.J. (eds) Eco-friendly Computing and Communication Systems. ICECCS 2012. Communications in Computer and Information Science, vol 305. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32112-2_12
Download citation
DOI: https://doi.org/10.1007/978-3-642-32112-2_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32111-5
Online ISBN: 978-3-642-32112-2
eBook Packages: Computer ScienceComputer Science (R0)