Abstract
In this chapter, the results of Chap. 3 are applied to the discrete model of a multidimensional sampled-data (SD) system with delays at the input and output of a continuous process. The solution is based on the discrete backward model of the system, expressed by the inverse shift operator \(\zeta \). Necessary and sufficient conditions for modal controllability and stabilization are given. At the end of the chapter, the construction of a minimal realization of the considered system in the state space is considered with the forward shift operator z, since the method traditionally used to solve this problem does not always lead to the desired results.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
K.J. Åström, B. Wittenmark, Computer Controlled Systems: Theory and Design, 3rd edn. (Prentice-Hall, Englewood Cliffs, 1997)
E.N. Rosenwasser, B.P. Lampe, Digitale Regelung in kontinuierlicher Zeit - Analyse und Entwurf im Frequenzbereich (B.G. Teubner, Stuttgart, 1997)
E.N. Rosenwasser, B.P. Lampe, Computer Controlled Systems: Analysis and Design with Process-orientated Models (Springer, Berlin, 2000)
W.B. Cleveland, First-order-hold interpolation dogital-to-analog converter with application to aircraft simulation, NASA technical note, NASA TN D-8331 (1982) Washington, D.C
E.N. Rosenwasser, B.P. Lampe, Multivariable Computer-controlled Systems–A Transfer Function Approach (Springer, London, 2006)
B.P. Lampe, E.N. Rosenwasser, Controllability and observability of discrete-time models for sampled continuous-time processes with higher order holds and delay. Autom. Remote Control 68(4), 593–609 (2007)
B.P. Lampe, E.N. Rosenwasser, Polynomial modal control for sampled-data systems with delay. Autom. Remote Control 69(6), 953–967 (2008)
H. Kwakernaak, R. Sivan, Linear Optimal Control Systems (Wiley-Interscience, New York, 1972)
E.G. Gilbert, Controllability and observability in multivariable control systems. SIAM J. Control A(1), 128–151 (1963)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Rosenwasser, E.N., Lampe, B.P., Jeinsch, T. (2019). Modal Control and Stabilization of Multivariable Sampled-Data Systems with Delay. In: Computer-Controlled Systems with Delay. Springer, Cham. https://doi.org/10.1007/978-3-030-15042-6_4
Download citation
DOI: https://doi.org/10.1007/978-3-030-15042-6_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-15041-9
Online ISBN: 978-3-030-15042-6
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)