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This technical note proposes local exponential observers for systems on linear Lie groups. We study two classes of systems. In the first class, the full state of the system evolves on a linear Lie group and is available for measurement. In the second class, only part of the system's state evolves on a linear Lie group and this portion of the state is available for measurement. In each case, we propose...
This paper proposes two local exponential observers for left-invariant systems on linear Lie groups, where the full state of the system is available for measurement. We show that, depending on the observer chosen, local exponential stability of one of the two estimation error dynamics, left or right invariant error dynamics, is obtained. Our proposed observers are noteworthy because their estimation...
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