Symmetry-based observers for ODE systems
In this paper we introduce an observer design framework for ordinary differential equation (ODE) systems based on various types of existing or even novel one-parameter symmetries (exact, asymptotic and variational) ending up with a certain number of semi-global and global observers, with bounded or unbounded system's solutions and with infinite- or finite-time convergence. We compare some of these symmetry-based observers with existing observers, recovering for instance the same performances of high-gain semiglobal observers and the finite-time convergence capabilities of sliding mode observers, while obtaining novel global observers where existing techniques are not able to provide any.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
The lack of asymmetry of the Maxwell centroids, and of ocular dominance, in persons with dyslexia
While the existence of an asymmetry between the two Maxwell centroids at the centre of the two foveas recorded using a foveascope, leads to the ocular dominance in good readers, the lack of asymmetry in most of the obser…
Observer Design for Nonlinear Systems with Equivariance
Equivariance is a common and natural property of many nonlinear control systems, especially those associated with models of mechatronic and navigation systems. Such systems admit a symmetry, associated with the equivaria…
Human Symmetry Uncertainty Detected by a Self-Organizing Neural Network Map
Symmetry in biological and physical systems is a product of self organization driven by evolutionary processes, or mechanical systems under constraints. Symmetry based feature extrac-tion or representation by neural netw…
QuantizationAdaptive Cooperative Tracking and Parameter Estimation of an Uncertain Leader over General Directed Graphs
This paper studies cooperative tracking problem of heterogeneous Euler-Lagrange systems with an uncertain leader. Different from most existing works, system dynamic knowledge of the leader node is unaccessible to any fol…
parameter estimationBeyond Planar Symmetry: Modeling human perception of reflection and rotation symmetries in the wild
Humans take advantage of real world symmetries for various tasks, yet capturing their superb symmetry perception mechanism with a computational model remains elusive. Motivated by a new study demonstrating the extremely …
Symmetry Detection