Feedback Linearization of Dynamical Systems with Modulated States for Harnessing Water Wave Power

In this work, a set of analyses concerning the deep water wave power of the whole Mediterranean Sea has been carried out. These analyses cover the period from July 2009 to March 2012. Processes affecting waves as they propagate towards the coasts can modify the wave power, leading to reductions or, sometime, local enhancements due to focusing mechanisms. To quantify these processes, and thus to select the most energetic locations, numerical simulations were used to propagate the offshore time series into four selected near-shore areas. Monthly and yearly mean wave power maps are presented. Moreover some hot-spots, located at water depths in the range of 50 m to 15 m, are highlighted.

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Non-smooth Modeling and Variable Structure Control of a Class of Hybrid Dynamical Systems

Journal of Physics Conference Series ◽

10.1088/1742-6596/2090/1/012108 ◽

2021 ◽

Vol 2090 (1) ◽

pp. 012108

Author(s):

Yasser A. Bin Salamah

Keyword(s):

Dynamical System ◽

Dynamical Systems ◽

Feedback Linearization ◽

Controller Design ◽

Sliding Mode ◽

Variable Structure ◽

Hybrid Dynamical Systems ◽

Structure Control ◽

Output Tracking ◽

Output Tracking Control

Abstract In this work, we propose a modeling formulation and controller design for a class of hybrid dynamical systems. In this formulation, a switching dynamical system is modeled as a dynamical system with discontinuous right hand side. More specifically, the system is transformed to a nonlinear system with discontinuous nonlinearities. Then, a synthesis of feedback linearization and sliding mode control is employed for output tracking control problem. Application and implementation of this approach is illustrated via a chemical process example.

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An Eclectic Approach to the State Feedback Control of Nonlinear Dynamical Systems

Journal of Dynamic Systems Measurement and Control ◽

10.1115/1.3153106 ◽

1989 ◽

Vol 111 (4) ◽

pp. 631-640 ◽

Cited By ~ 10

Author(s):

S. H. Z˙ak

Keyword(s):

Dynamical Systems ◽

Feedback Linearization ◽

State Feedback ◽

Nonlinear Dynamical Systems ◽

Sliding Mode ◽

Design Method ◽

Variable Structure ◽

High Gain ◽

Feedback Stabilization ◽

State Feedback Control

This paper examines the problem of robust state-feedback stabilization of a class of nonlinear multi-input dynamical systems. Four approaches to the problem are investigated: the variable structure control (VSC) method, the high-gain feedback technique, the feedback linearization algorithm, and finally the deterministic approach to the control of uncertain systems. It is shown that each design method can lead to a controller such that the closed-loop system exhibits a sliding mode property. The sliding mode is a desirable property since it results in a robust control. The analysis is illustrated by means of a simple numerical example.

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Exploration of the algebraic traveling wave solutions of a higher order model

Engineering Computations ◽

10.1108/ec-07-2019-0303 ◽

2020 ◽

Vol ahead-of-print (ahead-of-print) ◽

Cited By ~ 1

Author(s):

Jian-Gen Liu ◽

Yi-Ying Feng ◽

Hong-Yi Zhang

Keyword(s):

Dynamical Systems ◽

Shallow Water ◽

Traveling Wave ◽

Water Wave ◽

Traveling Wave Solutions ◽

Content Type ◽

Shallow Water Wave ◽

Wave Solutions ◽

Wave Phenomena ◽

Planar Dynamical Systems

Purpose The purpose of this paper is to construct the algebraic traveling wave solutions of the (3 + 1)-dimensional modified KdV-Zakharov-Kuznetsve (KdV-Z-K) equation, which can be usually used to express shallow water wave phenomena. Design/methodology/approach The authors apply the planar dynamical systems and invariant algebraic cure approach to find the algebraic traveling wave solutions and rational solutions of the (3 + 1)-dimensional modified KdV-Z-K equation. Also, the planar dynamical systems and invariant algebraic cure approach is applied to considered equation for finding algebraic traveling wave solutions. Findings As a result, the authors can find that the integral constant is zero and non-zero, the algebraic traveling wave solutions have different evolutionary processes. These results help to better reveal the evolutionary mechanism of shallow water wave phenomena and find internal connections. Research limitations/implications The paper presents that the implemented methods as a powerful mathematical tool deal with (3 + 1)-dimensional modified KdV-Z-K equation by using the planar dynamical systems and invariant algebraic cure. Practical implications By considering important characteristics of algebraic traveling wave solutions, one can understand the evolutionary mechanism of shallow water wave phenomena and find internal connections. Originality/value To the best of the authors’ knowledge, the algebraic traveling wave solutions have not been reported in other places. Finally, the algebraic traveling wave solutions nonlinear dynamics behavior was shown.

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