Abstract
The local disturbance decoupling problem with stability is the problem of finding a regular state feedback such that for the feedback system the outputs are decoupled from the disturbances and the equilibrium xe is locally exponentially stabilized. A crucial role in the solution of this problem is played by a distribution that is in some sense the smallest locally controlled invariant distribution containing the disturbance vector fields. Essential in order that the problem is solvable is that the drift dynamics restricted to the leaf of this distribution through xe is locally exponentially stabilizable. Conditions for solvability of the local disturbance decoupling problem with stability for a nonlinear system are given in terms of conditions for the linearization of such a system around xe.
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van der Wegen, L. (1990). Another Approach to the Local Disturbance Decoupling Problem with Stability for Nonlinear Systems. In: Kaashoek, M.A., van Schuppen, J.H., Ran, A.C.M. (eds) Robust Control of Linear Systems and Nonlinear Control. Progress in Systems and Control Theory, vol 4. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4484-4_45
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DOI: https://doi.org/10.1007/978-1-4612-4484-4_45
Publisher Name: Birkhäuser Boston
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Online ISBN: 978-1-4612-4484-4
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