On Hamilton-Jacobi Approaches to State Reconstruction for Dynamic Systems
Abstract
We investigate the use of Hamilton-Jacobi approaches for the purpose of state reconstruction of dynamic systems. First, the classical formulation based on the minimization of an estimation functional is analyzed. Second, the structure of the resulting estimator is taken into account to study the global stability properties of the estimation error by relying on the notion of input-to-state stability. A condition based on the satisfaction of a Hamilton-Jacobi inequality is proposed to construct estimators with input-to-state stable dynamics of the estimation error, where the disturbances affecting such dynamics are regarded as input. Third, the so-developed general framework is applied to the special case of high-gain observers for a class of nonlinear systems.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Feb 26, 2020
- Source ID
- 10.1155/2020/9643291
Entities
People
- Angelo Alessandri
Organizations
- Air Force Office of Scientific Research
- University of Genoa