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The bound of the tracking error can be derived as begin{aligned} lim_{trightarrowinfty}biglVert z(t bigrVert leq sqrt{frac{2B}{A}+frac{2 Lambda}{1-e^{-AT^{flat}}}}.
Moreover, a complementary sliding-mode control (CSMC) system is adopted to reduce the guaranteed ultimate bound of the tracking error by half while using the saturation function as compared with the SMC.
This value became the lower bound of the tracking algorithm during the main experiment (floor RT).
In the presence of disturbance and measurement noises, we estimate the upper bound of the tracking error.
The ultimate bound of the tracking error can be made arbitrarily small by proper choice of controller parameters.
Next, a continuous distributed controller is further proposed to eliminate the undesirable chattering phenomenon of the discontinuous controller, where the upper bound of the tracking error is uniformly bounded and can be made small enough by choosing the parameters appropriately.
Similar(52)
A general method for calculating the upper bound on the tracking capability of a space-based AIS system has been developed and the results from the algorithm applied to AISSat-1 and the NORAIS Receiver individually.
Then, based on the estimation information for the unknown upper bound of the compounded disturbance, an adaptive fuzzy tracking controller with the corresponding parameter updating laws is designed to eliminate the effect of the compounded disturbance.
A bound for the tracking error is explicitly established in terms of L2 norm, which helps improve the transient performance by selecting the control parameters.
The proposed algorithm aims to track the response of an optimally controlled structure, by having knowledge of the bound of the nonlinear parasitic force.
On the basis of Lyapunov stability theory, a bound of tracking errors of the closed-loop control system is derived.
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Justyna Jupowicz-Kozak
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