access icon free Estimator design of switched linear systems under unknown persistent excitation

In this study, the robust estimation problem is investigated for discrete-time switched linear systems with unknown persistent excitation. The robust current estimator is proposed to estimate the real state of the switched systems without the stability restriction. The estimator input is constructed based on the current and previous information of a switching signal and output measurement. Owing to the reference system and its estimator, the exponential stability of the estimation error systems is presented under the average dwell time switching and arbitrary switching. The upper bound or the property of attenuation is unnecessary for the unknown input considered here. In addition, neither the conventional decoupling principle nor non-singular transformation is employed. At last, the effectiveness of established results is illustrated by a numerical example and a DC–DC boost converter.

Inspec keywords: robust control; linear systems; state estimation; switching systems (control); discrete time systems; asymptotic stability; control system synthesis; DC-DC power convertors

Other keywords: robust current estimator; estimation error systems; output measurement; DC-DC boost converter; stability restriction; state estimation; arbitrary switching; upper bound; unknown input; average dwell time switching; discrete-time switched linear systems; exponential stability; attenuation property; estimator design; reference system; switching signal; unknown persistent excitation

Subjects: Time-varying control systems; Discrete control systems; Simulation, modelling and identification; Stability in control theory; Control system analysis and synthesis methods; Linear control systems

http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2017.0985
Loading

Related content

content/journals/10.1049/iet-cta.2017.0985
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading