Regular Perturbation Analysis for Trajectory Linearization Control
- 1 July 2007
- conference paper
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE) in American Control Conference (ACC)
- No. 07431619,p. 3053-3058
- https://doi.org/10.1109/acc.2007.4282935
Abstract
Trajectory linearization control (TLC) is a nonlinear control design method, which combines an open-loop nonlinear dynamic inversion and a linear time-varying feedback stabilization. TLC achieves exponential stability along the nominal trajectory, therefore it provides robust stability and performance. In this paper, stability analysis of TLC with regular perturbation is presented. By integrating the Lyapunov second method with the linear time-varying (LTV) system spectra theory, which is a first method of Lyapunov. The analysis assesses stability robustness of TLC and identifies its relationship with the closed-loop PD-eigenvalues. Thus the analysis provides a guideline to design and real-time tuning of the time-varying closed-loop PD-eigenvalues.Keywords
This publication has 23 references indexed in Scilit:
- Robust linear time-varying control for trajectory tracking: computation and an experimental applicationInternational Journal of Control, 2006
- Well-defined series and parallel D-spectra for linear time-varying systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- A necessary and sufficient stability criterion for linear time-varying systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- A unified eigenvalue theory for time-varying linear circuits and systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- PD-spectral theory for multivariable linear time-varying systemsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Decoupling and tracking control using eigenstructure assignment for linear time-varying systemsInternational Journal of Control, 2001
- Asymptotic tracking of a nonminimum phase nonlinear system with nonhyperbolic zero dynamicsIEEE Transactions on Automatic Control, 2000
- Nonlinear inversion-based output trackingIEEE Transactions on Automatic Control, 1996
- A note on extension of the eigenvalue conceptIEEE Control Systems, 1993
- Canonical forms for multiple-input time-variable systemsIEEE Transactions on Automatic Control, 1969