TY - CHAP

T1 - Robust Estimation of Linear-Switched Systems with Dwell Time

AU - Gershon, Eli

AU - Shaked, Uri

N1 - Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

PY - 2019

Y1 - 2019

N2 - In order to overcome the deficiencies of the standard approaches to robust filtering of systems with large parameter uncertainties, a new method of estimation for non-switched, exponentially stable, uncertain systems is presented. We divide the uncertainty region into several overlapping subregions where, for each of these subregions, a separate filter is assigned. The resulting system is then treated as a switched system that switches between the subregions. The theory developed is demonstrated by two simple examples. In the first, a filtering solution is obtained for a switched system with error variance that is very close to the best achievable result for a single subsystem. The second example demonstrates the benefit, from the estimation error point of view, of dividing the uncertainty polytope of an uncertain non-switched system into two overlapping sub-polytopes.

AB - In order to overcome the deficiencies of the standard approaches to robust filtering of systems with large parameter uncertainties, a new method of estimation for non-switched, exponentially stable, uncertain systems is presented. We divide the uncertainty region into several overlapping subregions where, for each of these subregions, a separate filter is assigned. The resulting system is then treated as a switched system that switches between the subregions. The theory developed is demonstrated by two simple examples. In the first, a filtering solution is obtained for a switched system with error variance that is very close to the best achievable result for a single subsystem. The second example demonstrates the benefit, from the estimation error point of view, of dividing the uncertainty polytope of an uncertain non-switched system into two overlapping sub-polytopes.

UR - http://www.scopus.com/inward/record.url?scp=85066751852&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-16008-1_5

DO - 10.1007/978-3-030-16008-1_5

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AN - SCOPUS:85066751852

T3 - Lecture Notes in Control and Information Sciences

SP - 61

EP - 73

BT - Lecture Notes in Control and Information Sciences

PB - Springer Verlag

ER -