Abstract
The paper deals with design of a robust controller via algebraic μ-synthesis for a two tank system, which is a well known benchmark problem. The controller is obtained by decoupling two-input two-output system into two identical SISO (Single-Input Single-Output) plants. The task of robust controller design is then performed by finding a suitable pole placement for the SISO systems. The robustness is measured by the structured singular value denoted μ. The final controller is verified through simulation for plants perturbed by worst case perturbations.
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
Preview
Unable to display preview. Download preview PDF.
References
Balas, G.J., Doyle, J.C., Glover, K., Packard, A., Smith, R.: μ- Analysis and Synthesis Toolbox for Use with MATLAB. The MathWorks, Inc. (1998)
Dlapa, M., Prokop, R.: μ-Synthesis: Simple Controllers for Time Delay Systems. In: Proceedings of 11th Mediterranean Conference on Control and Automation, Rhodes, Greece (2003)
Dlapa, M., Prokop, R.: Differential Migration: a new algorithm for global optimization. In: Proceedings of the 6th Asian Control Conference, pp. 618–626 (2006)
Dlapa, M., Prokop, R.: Control of the HIMAT Aircraft via Algebraic μ-Synthesis. In: Proceedings of the 7th Portuguese Conference on Automatic Control (2006)
Doyle, J.C.: Analysis of Feedback Systems with Structured Uncertainties. Proceedings of IEEE, Part-D 129, 242–250 (1982)
Doyle, J.C.: Structure Uncertainty in Control System Design. In: Proceedings of 24th IEEE Conference on Decision and Control, pp. 260–265 (1985)
Kučera, V.: Discrete Linear Control: The Polynomial Equation Approach. Wiley, New York (1972)
Smith, R.S., Doyle, J., Morari, M., Skjellum, A.: A case study using μ: Laboratory process control problem. In: Proc. Int. Fed. Auto. Control, vol. 8, pp. 403–415 (1987)
Smith, R.S., Doyle, J.: The two tank experiment: A benchmark control problem. In: Proc. Amer. Control Conf., vol. 3, pp. 403–415 (1988)
Stein, G., Doyle, J.: Beyond Singular Values and Loopshapes. AIAA Journal of Guidance and Control 14(1), 5–16 (1991)
Vidyasagar, M.: Control Systems Synthesis: A Factorization Approach. MIT Press, Cambridge (1985)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Dlapa, M., Prokop, R., Bakosova, M. (2009). Robust Control of a Two Tank System Using Algebraic Approach. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory - EUROCAST 2009. EUROCAST 2009. Lecture Notes in Computer Science, vol 5717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04772-5_78
Download citation
DOI: https://doi.org/10.1007/978-3-642-04772-5_78
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04771-8
Online ISBN: 978-3-642-04772-5
eBook Packages: Computer ScienceComputer Science (R0)