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The problem of robustly stabilizing a nonlinear system is revisited through a re-examination of the separation theorem, whereby a nonlinear system can be stabilized by a combination of an asymptotic observer and a state feedback controller. The main emphasis is on the notion of strict asymptotic observers — asymptotic observers designed to tolerate uncertainty. It is shown that strict asymptotic observers...
In this paper, a sufficient condition for robust exponential stability with respect to small delays is obtained. As applications, an example is discussed.
The robust servomechanism problem, which is to design a stabilizing controller such that the system output robustly tracks a given reference signal in the presence of certain disturbances, is considered for linear time-invariant time-delay systems of retarded type with discrete delays. The reference and the disturbance are assumed to satisfy a constant-coefficient linear delay-differential equation...
In this paper, we present a case study on spacecraft attitude control. The plant (spacecraft attitude model) is a second order, nonlinear, multi-input-multi-output system defined by Euler's equations of rotational motion and the kinematic differential equations. The modified Rodrigues parameter (MRP) is used for kinematic parametrization and is the only measurable variable at the plant output. It...
This paper deals with the problem of exponential stability for a class of discrete-time recurrent neural networks with time-varying delay by employing an improved free-weighting matrix approach. The relationship among the time-varying delay, its upper bound and their difference is taken into account. As a result, a new and less conservative delay-dependent stability criterion is obtained without ignoring...
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