Adaptive State Observers of Linear Time-varying Descriptor Systems: A Parameter Estimation-Based Approach

TL;DR

This paper introduces an adaptive observer design for linear time-varying descriptor systems with uncertain parameters, utilizing a generalized parameter estimation approach, and demonstrates its effectiveness through simulation results.

Contribution

It extends parameter estimation-based observer design to linear time-varying descriptor systems with uncertainties, providing a new adaptive observer methodology.

Findings

Effective state estimation demonstrated in benchmark simulations

Robustness to parameter uncertainties shown in results

Improved observer performance over existing methods

Abstract

In this paper, we apply the recently developed generalized parameter estimation-based observer design technique for state-affine systems to the practically important case of linear time-varying descriptor systems with uncertain parameters. We give simulation results of benchmark examples that illustrate the performance of the proposed adaptive observer.