In order to analyze the convergence rate of tracking errors in each sliding mode plane, the control parameters for each surface are set as: TSMC: \(\alpha = 0.6\), NTSMC: \(\beta = {1}{\text{.6}}\), while \(c = 5\) is chosen as the same for all the surfaces. It can be...
algorithm: name: crc32c hash length: bits: 32 bytes: 4 nibbles: 8 CRC parameters: width (in bits): 32 polynomial [hex]: 1edc6f41 init [hex]: ffffffff refIn: true refOut: true xorOut [hex]: ffffffff Polynomial representations: mathematical: x^32 + x^28 + x^27 + x^26 + x^25...
This paper investigates the attitude tracking issue of the fixed-wing unmanned aerial vehicle (UAV) with model uncertainty and external disturbance using c
Mathematical preliminaries Some preliminaries needed for the main contribution of this work such as the notation used throughout this paper, basic definitions and results, and the predefined-time stabilisation of a class of first-order systems are introduced in this section. Predefined-time stabilisation...
A single hidden layer feed-forward neural network based on the extreme learning machine is used in this work to approximate the unknown nonlinear functions in the control laws. Two simulation examples, including a mathematical one and a practical one, are given to verify the effectiveness of the...
In the application of nonlinear dynamics, such as in the mathematical modeling of man-made or real-world problems, uncertainty or fuzziness is unavoidable. In order to consider vagueness, the so-called fuzzy cellular neural networks (FCNNs) was further introduced by Yang and Yang in 1996 [7]...
Section 2 introduces the essential mathematical background and important definitions. The problem statement is explained in Section 3. Then, the proposed scheme, including its proof of stability, is developed in Section 4. Section 5 discusses the validity of the proposed scheme through several ...
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Thus, sufficient condition (iii) in Corollary 2 becomes d V d t ≤ − 1 k p T c V 1 − p , ∀ x ≠ 0 . 𝑑𝑉𝑑𝑡≤−1𝑘𝑝𝑇𝑐𝑉1−𝑝,∀𝒙≠𝟎. (14) Using Corollary 2, system (1) is finite-time stable when T > ( k V 0 p ) T c ...
algorithm: name: crc32c hash length: bits: 32 bytes: 4 nibbles: 8 CRC parameters: width (in bits): 32 polynomial [hex]: 1edc6f41 init [hex]: ffffffff refIn: true refOut: true xorOut [hex]: ffffffff Polynomial representations: mathematical: x^32 + x^28 + x^27 + x^26 + x^25...