Dynamic Inversion for Nonaffine-in-Control Systems via Time-Scale Separation. Part I Article
First Online: 04 October 2007 Received: 29 March 2006 Revised: 08 November 2006 DOI :
10.1007/s10883-007-9029-1
Cite this article as: Hovakimyan, N., Lavretsky, E. & Sasane, A. J Dyn Control Syst (2007) 13: 451. doi:10.1007/s10883-007-9029-1
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Abstract This paper presents a new method for approximate dynamic inversion of nonaffine-in-control systems via time-scale separation. The control signal is sought as a solution of the “fast” dynamics and is shown to asymptotically stabilize the original nonaffine system. Sufficient conditions are formulated, which satisfy the assumptions of the Tikhonov theorem in the theory of singular perturbations. Several examples illustrate the theoretical results.
Key words and phrases Nonaffine-in-control dynamical systems time-scale separation tracking
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Authors and Affiliations 1. Aerospace & Ocean Engineering Virginia Polytechnic Institute & State University Blacksburg USA 2. The Boeing Company Huntington Beach USA 3. Department of Mathematics London School of Economics London United Kingdom