In order to control a single quadcopter with a cable-suspended payload to follow the desired trajectory, a mixed H2/H∞ controller with constraints is developed. Firstly, the EulerLagrange dynamic model is built and linearized. Then the extended model for path tracking problem is designed. Based on linear matrix inequality (LMI), state feedback controller H2 and H∞ with constraints is illustrate...

On the basis of a parameterization of the span of a multivariate matrix polynomial, a sufficient condition is derived in this paper for a multi-dimensional multi-input multi-output (MIMO) IIR system being upper bounded over a cuboid frequency domain. This condition is expressed through a linear matrix inequality (LMI) and can be computationally verified. Moreover, by means of parameter dependen...

We consider a frequency localized Bernstein inequality for the fractional Laplacian operator, which has wide applications in fluid dynamics such as dissipative surface quasi-geostrophic equations. We use a heat flow reformulation and prove the inequality for the full range of parameters and in all dimensions. A crucial observation is that after frequency projection the zeroth frequency part of ...

a frequency domain dynamic analysis is needed to obtain the response of structures constructed on a system of base isolators on flexible soil when subjected to earthquake ground motion. in such systems, the lateral stiffness of the base isolators is so small, compared to the structural stiffness, that in an earthquake attack the fundamental vibration mode dominates the response. with this in mi...

The analysis of geochemical data in frequency domain, as indicated in this research study, can provide new exploratory informationthat may not be exposed in spatial domain. To identify deep geochemical anomalies, sulfide zone and geochemical noises in Dalli Cu–Au porphyry deposit, a new approach based on coupling Fourier transform (FT) and principal component analysis (PCA) has beenused. The re...

For any simply connected domain Ω, we prove that a Littlewood type inequality is necessary for boundedness of composition operators on Hp(Ω), 1 ≤ p < ∞, whenever the symbols are finitely-valent. Moreover, the corresponding “little-oh” condition is also necessary for the compactness. Nevertheless, it is shown that such an inequality is not sufficient for characterizing bounded composition operat...

This article presents a fuzzy robust Mixed - Sensitivity Gain - Scheduled H controller based on the Loop -Shaping methodology for a class of MIMO uncertain nonlinear Time - Varying systems. In order to design this controller, the nonlinear parameter - dependent plant is first modeled as a set of linear subsystems by Takagi and Sugeno’s (T - S) fuzzy approach. Both Loop - Shaping methodology and...