Abstract
Feedback is the main tool for control systems. Stability and robustness are two key issues associated with any feedback design, and are the topics of this chapter. Section 1 addresses internal stability of general interconnected systems and derives a powerful stability condition which is applicable to systems with any feedback and/or feedforward combinations. Section 2 focuses on the conventional unity output feedback configuration and gives the simplifying conditions and Nyquest-like criteria. The plant uncertainties and feedback system robustness to them are discussed in Section 3, both structured and unstructured perturbations are introduced. A special attention is paid to the case where the phase perturbation is limited, a realistic situation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
3.4 Notes and References
Callier, F.M. and C.A. Desoer (1982). Multivariable feedback systems.
Chen, C.-T. (1984). Linear System Theory and Design. Holt, Rinehart and Winston. New York.
Maciejowski, J. M. (1989). Multivariable Feedback Design. Addison-Wesley. Reading, MA.
Morari, M. and E. Zafiriou (1989). Robust Process Control. Prentice Hall. Englewood Cliffs, NJ.
Rosenbrock, H. H. (1974). Computer-aided Control System Design. Academic Press. NY.
Wang, Q. G., T. H. Lee and J. B. He (1999b). Internal stability of interconnected systems. IEEE Trans. Automatic Control 44, 593–597.
Wang, Q. G., C.C Hang and Y.S. Yang (2002). Robust stability analysis and pid controller design. IEE Part D, Control Theory and Applications.
Zhou, K., J. C. Doyle and K Glover (1996). Robust and optimal control. Prentice Hall. New York, N.Y.
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(2003). Stability and Robustness of Feedback Systems. In: Decoupling Control. Lecture Notes in Control and Information Sciences, vol 285. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46151-5_3
Download citation
DOI: https://doi.org/10.1007/3-540-46151-5_3
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44128-1
Online ISBN: 978-3-540-46151-7
eBook Packages: Springer Book Archive