Disturbance decoupled estimation for linear differential-algebraic systems. (English) Zbl 1414.93098
Summary: We study the disturbance decoupled estimation problem for linear differential-algebraic systems which are not necessarily regular. We introduce the notion of partial state observers following a recent approach to observer design motivated by considerations for behavioural systems. In our framework, a partial state observer is itself a differential-algebraic system. We derive a characterisation for the existence of (asymptotic) partial state observers. Exploiting the freedom in the proposed observer design, we derive a solution of the disturbance decoupled estimation problem. The characterisation of solvability is obtained via geometric conditions in terms of the generalised Wong sequences.
MSC:
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93C05 | Linear systems in control theory |
| 93B51 | Design techniques (robust design, computer-aided design, etc.) |
Keywords:
differential-algebraic systems; descriptor systems; disturbance decoupled estimation; observer design; Wong sequencesReferences:
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