Reduced-order interval observer design for continuous-time descriptor LPV systems with uncertainties

Abstract

In this paper, a reduced-order interval observer (R-IO) design technique is developed for continuous-time descriptor linear-parameter-varying systems with unknown-but-bounded uncertainties. First, by introducing an intermediate variable, the R-IO design amounts to estimating the linear functional of the system states. Then, with a parameter-dependent Luenberger-like structure, the R-IO existence condition is eventually formulated into a set of differential-algebraic equations, not involving any linear transformation process. Further, a parametric solution to such an R-IO is derived through solving the equation set, which clearly shows the design degrees of freedom. Finally, the correctness of the proposed results is verified by a numerical system and an electrical circuit system.

Keywords:

• Interval estimation
• reduced-order observer
• descriptor LPV system
• parametric method

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by National Natural Science Foundation of China [grant numbers 61973125, 61803161], Department of Education of Guangdong Province [grant number 2020KTSCX008], Natural Science Foundation of Guangdong Province for Distinguished Young Scholars [grant number 2017A030313385] and Key-Area Research and Development Program of Foshan City [grant number 2020001006812].