Abstract
The results of efforts to extend the Direct Principle of Lyapunov to stability analysis in controlled output space are described. The motivation is to apply the DPL in the space of the actual variables of concern in the system performance, thus avoiding conservatism and in some cases gaining other advantages. The details of the application of the procedure are developed, and an example is presented.
Preview
Unable to display preview. Download preview PDF.
References
Barmish, B. R. (1985). “Necessary and sufficient conditions for quadratic stabilizability of an uncertain system,” J. Opt. Theory and Applic., vol. 46, no. 4, pp. 399–408.
Barmish, B. R., and G. Leitmann (1982). “On ultimate boundedness control of uncertain systems in the absence of matching conditions,” IEEE Trans. Auto. Cont., vol. AC-27, no. 1, pp. 153–159.
Black, K. W. (1990). “A relaxed mismatch condition for reduced conservatism in Lyapunov stability analysis,” Proc. 1990 American Automatic Control Conf., San Diego, California, May 23–25.
Blackwell, C. C. (1990). “Synthesis of disturbance attenuating, noise rejecting regulator control via the matrix Riccati Equation,” Proc. 1990 American Control Conf., San Diego, California. May 23–25.
Corless, M., and G. Leitmann (1981). “Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems,” IEEE Trans. Auto. Cont., vol. AC-26, no. 5, pp. 1139–1144.
Doyle, J. C., and G. Stein (1981). “Multivariable feedback design: concepts for a classical/modern synthesis,” IEEE Trans. Auto. Con., vol. AC-26, no. 1, pp. 4–16.
Francis, B. A. (1988). A Course in H ∞ Control Theory. Springer-Verlag, New York.
Kalman, R. E., and J. E. Bertram (1960a). “Control system analysis and design via the “Second Method of Lyapunov”: I. continuous-time systems,” ASME J. Basic Engr., vol. 82, no. 2, pp. 371–393.
Leitmann, G. (1981). “On the efficacy of nonlinear control in uncertain linear systems,” ASME J. Dynam. Syst., Meas., and Contr., vol. 102, pp. 95–102.
Šiljak, D. D. (1987). “Stability of reduced-order models via vector Liapunov functions,” Proceedings of the 1987 American Automatic Control Conference, Minneapolis, Minnesota, June 10–12, vol. 1, pp. 482–489.
Takahashi, Y., M. J. Rabins, and D. M. Auslander (1970). Control and Dynamic Systems, Addison-Wesley Publishing Company. Reading, Massachussetts.
Yedavalli, R. K. (1989). “Robust control design for aerospace applications,” IEEE Trans. Aerosp. and Electronic Sys., vol. 25, no. 3, pp. 314–324.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag
About this paper
Cite this paper
Blackwell, C.C. (1991). Robustness analysis in the time domain and output space. In: Skowronski, J.M., Flashner, H., Guttalu, R.S. (eds) Mechanics and Control. Lecture Notes in Control and Information Sciences, vol 151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006715
Download citation
DOI: https://doi.org/10.1007/BFb0006715
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53517-1
Online ISBN: 978-3-540-46752-6
eBook Packages: Springer Book Archive