Abstract
This chapter analyzes performance limitations and stability robustness of the unity feedback configuration of Figure 12.2 considered in Chapter 12. We use the material on nonlinear operator theory developed in §12.1.1 of Chapter 12.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Notes and References
Sensitivity Limitations
The results on nonlinear Lipschitz sensitivity limitations are based on Seron & Goodwin (1996), Seron (1995) and Goodwin & Seron (1995).
The nonlinear extension of the water-bed effect is due to Shamma (1991).
Stability Robustness
§13.5 is based on Seron & Goodwin (1996). Robustness tests similar to those given in §13.5 were obtained by Astolfi & Guzzella (1993) using the L2-gain (or “nonlinear H∞ norm”) in lieu of the Lipschitz constant. Astolfi & Guzzella, however, used a state-space approach. Other results on robustness for nonlinear feedback systems are the works of Georgiou & Smith (1995a, 1995b, 1995c), who use a nonlinear generalization of the gap metric.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer-Verlag London Limited
About this chapter
Cite this chapter
Seron, M.M., Braslavsky, J.H., Goodwin, G.C. (1997). Nonlinear Control. In: Fundamental Limitations in Filtering and Control. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0965-5_13
Download citation
DOI: https://doi.org/10.1007/978-1-4471-0965-5_13
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1244-0
Online ISBN: 978-1-4471-0965-5
eBook Packages: Springer Book Archive