We study the dynamical stability properties of a suitably defined approximation of the equivalent control in sliding manifold systems. For this, we use spectral theory to solve a problem of singularly perturbed dynamical systems, then apply the theory of twist maps. Simple examples of control systems which preserve dynamical stability properties are presented.
Johnson, R., Nistri, P. (1997). Dynamical stability of the approximate equivalent control in sliding manifold systems. In Proc. 36th IEEE Conference on Decision and Control (pp.4446-4450). New York : IEEE.
Dynamical stability of the approximate equivalent control in sliding manifold systems
NISTRI, PAOLO
1997-01-01
Abstract
We study the dynamical stability properties of a suitably defined approximation of the equivalent control in sliding manifold systems. For this, we use spectral theory to solve a problem of singularly perturbed dynamical systems, then apply the theory of twist maps. Simple examples of control systems which preserve dynamical stability properties are presented.
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https://hdl.handle.net/11365/30724
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