Non-local stabilization of nonlinear systems using switching manifolds

Date

2000-02-01

Author

Banks, SP
Salamci, MU
McCaffrey, D

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

141
views

0
downloads

The stabilization of nonlinear systems is considered by reducing the problem to a lower dimensional switching manifold which is made globally attracting. The switching manifold is designed using the stable manifold of the unforced system. The technique is first developed in local case and then in the global situation of nonlinear vector fields on manifolds. The method generalizes the standard Lyapunov approach.

Subject Keywords

Design, Feedback stabilization, Non-linear systems, Variable-structure control

URI

https://hdl.handle.net/11511/66352

Journal

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE

DOI

https://doi.org/10.1080/002077200291352

Collections

Department of Mechanical Engineering, Article

Suggestions

OpenMETU
Core

Adaptive output feedback control with reduced sensitivity to sensor noise Kutay, Ali Türker; Hovakimyan, N (2003-01-01) We address adaptive output feedback control of uncertain nonlinear systems with noisy output measurements, in which both the dynamics and the dimension of the regulated system may be unknown, and only the relative degree of the regulated output is assumed to be known. Given a smooth reference trajectory, the problem is to design a controller that forces the system measurement to track it with bounded errors. A recently developed method proposes the use of a linear error observer that estimates the tracking ...
Linear parameter varying control for autonomous systems: methods and application examples Çalış, Fatih; Schmidt, Klaus Verner; Department of Electrical and Electronics Engineering (2022-8-24) Linear parameter varying (LPV) systems are nonlinear systems which can be modelled as linear systems whose parameters change as a function of different "scheduling parameters". In other words, the dynamics of the LPV systems change during the operation hence they require a parameter dependent controller. Although classical gain-scheduling approaches satisfy some performance criteria for constant dynamics, they don't guarantee stability while the scheduling parameter is changing. On the other hand, H∞-norm b...
Non-linear filtering based on observations from Gaussian processes Gustafsson, Fredrik; Saha, Saikat; Orguner, Umut (2011-03-12) We consider a class of non-linear filtering problems, where the observation model is given by a Gaussian process rather than the common non-linear function of the state and measurement noise. The new observation model can be considered as a generalization of the standard one with correlated measurement noise in both time and space. We propose a particle filter based approach with a measurement update step that requires a memory of past observations which can be truncated using a moving window to obtain a fi...
Output feedback stabilization of nonlinear dual-rate sampled-data systems via an approximate discrete-time model Ustunturk, Ahmet (2012-08-01) The problem of output feedback stabilization of nonlinear sampled-data control systems is considered under the low measurement rate constraint. A dual-rate control scheme is proposed that utilizes a numerical integration scheme to approximately predict the missing output values between measured output samples. It is shown that if an observer-based output feedback controller that semiglobally practically asymptotically (SPA) stabilizes the single-rate sampled-data plant model is given, then the SPA stability...
Nonlinear mode coupling and sheared flow in a rotating plasma Uzun Kaymak, İlker Ümit; Choi, S.; Clary, M. R.; Ellis, R. F.; Hassam, A. B.; Teodorescu, C. (IOP Publishing, 2009-01-01) Shear flow is expected to stabilize the broad spectrum of interchange modes in rotating plasmas. However, residual fluctuations may still persist. To investigate the presence of such fluctuations, sixteen magnetic pickup coils equally spaced on a crown have been mounted inside the vacuum vessel, at the edge of a rotating plasma in mirror configuration. A comprehensive analysis of the magnetic fluctuations shows that very low spatial mode numbers survive under the imposed shear flow. Nevertheless, temporal F...

Citation Formats

S. Banks, M. Salamci, and D. McCaffrey, “Non-local stabilization of nonlinear systems using switching manifolds,” INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, pp. 243–254, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66352.