In this paper, the stability of nonlinear time-varying feedback systems is studied using a "passive operator" technique. The feedback system is assumed to consist of a linear time-invariant operator G(s) in the forward path and a nonlinear time-varying gain function f( โข )K(t) in the feedback path.
Time-varying feedback control of nonaffine nonlinear systems without drift
โ Scribed by Wei Lin
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 570 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0167-6911
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โฆ Synopsis
Sufficient conditions are presented under which a general nonlinear system without drift is globally asymptotically stabilizable by time-varying state feedback. A novel approach is developed for the design of a time-varying smooth state feedback controller. The controller is explicitly constructed by using the I~ounded state feedback strategy (Lin, 1995(Lin, , 1996) ) combined with Lyapunov technique as well as lossless systems theory. This work incorporates earlier global stabilization results (Coron, 1992;Pomet, 1992) for controllable affine systems without drift, which are known not to be smoothly stabilizable via any time-invariant state feedback.
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