On global stabilization of nonlinear dynamical systems
The global stabilization of nonlinear minimum phase systems with partially linear strict nonminimum phase composite dynamics is discussed in this chapter using only the state variables of the linear composite part. The concept of the terminal sliding mode is employed for the control design. The advantage of the approach is that the finite time convergence of the proposed control strategy enables elimination of the effect of asymptotic convergence on the nonlinear systems, hence the peaking phenomenon does not occur. The global stabilization of the nonlinear systems under the developed controller is guaranteed.
KeywordsFinite Time Global Stabilization Zero Dynamic Linear Feedback Control Finite Time Convergence
Unable to display preview. Download preview PDF.
- 4.Byrnes, C. I. and A. Isidori, “A Frequency Domain Philosophy for Nonlinear Systems with Application to Stabilization and to Adaptive control,” 23rd IEEE Conference on Decision and Control, pp. 1031–1037, 1985.Google Scholar
- 5.Carr, J., Application of Centre Manifold Theory, New York: Springer-Verlag, 1981.Google Scholar
- 16.Saberi, A., P. V. Kokotovic and H. J. Sussmann, “Global Stabilization of Partially Linear Composite Systems,” SIAM Journal of Control and Optimization, Vol. 28, pp.1491–1503, 1990. Tsinias, J., “Sufficient Lyapunov-like Conditions for Stabilization,” Mathematics Control, Signals Systems, Vol. 2, pp.343–357, 1989.zbMATHCrossRefMathSciNetGoogle Scholar