Sliding mode dynamics on a prey–predator system with intermittent harvesting policy

2019 ◽  
Vol 98 (2) ◽  
pp. 1299-1314
Author(s):  
Joydeb Bhattacharyya ◽  
Daniel L. Roelke ◽  
Samares Pal ◽  
Soumitro Banerjee
Keyword(s):  
Sliding Mode ◽  
Sliding Mode Dynamics ◽  
Predator System

Event-triggered-based adaptive sliding mode control for networked linear control systems

2022 ◽  
pp. 014233122110689
Author(s):  
Guiling Li ◽  
Chen Peng
Keyword(s):  
Sliding Mode Control ◽  
Sliding Mode ◽  
Linear Control Systems ◽  
Adaptive Sliding Mode Control ◽  
Reduced Order ◽  
Adaptive Sliding Mode ◽  
Mode Control ◽  
Mode Function ◽  
Sliding Mode Dynamics ◽  
Event Triggered

This paper investigates the robust stabilization of the adaptive sliding mode control for a class of linear systems subjected to external disturbance via event-triggered communication (ETC) scheme. First, in order to reduce the bandwidth utilization, a discrete ETC scheme is proposed and the networked sliding mode function is derived using the ETC scheme. Based on the derived sliding mode function, a reduced-order networked sliding mode dynamics with communication delay is established. Second, by constructing a Lyapunov–Krasovskii functional (LKF), asymptotic stability and stabilization criteria of the reduced-order sliding mode dynamics are given in the form of linear matrix inequalities. According to the stabilization result, a novel event-triggered-based adaptive sliding mode controller is designed while guaranteeing the reachability of the sliding surface. Finally, simulation results illustrate the effectiveness and merit of the developed method.

Another Note on Stability of Sliding Mode Dynamics in Suppression of Fractional Chaotic Systems

2015 ◽  
Vol 743 ◽  
pp. 303-306
Author(s):  
J. Yuan ◽  
B. Shi ◽  
Yan Wang
Keyword(s):  
Stability Analysis ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Fractional Systems ◽  
Infinite Dimensional ◽  
Fractional Integrator ◽  
Fractional Differential ◽  
Continuous Frequency ◽  
The Stability ◽  
Sliding Mode Dynamics

This paper revisits the stability analysis of sliding mode dynamics in suppression of a classof fractional chaotic systems by a different approach. Firstly, we convert fractional differential equationsinto infinite dimensional ordinary differential equations based on the continuous frequency distributedmodel of the fractional integrator. Then we choose a Lyapunov function candidate to proposethe stability analysis. The result applies to both the commensurate fractional systems and the incommensurateones.

scholarly journals Design of Current Programmed Switching Converters Using Sliding-Mode Control Theory

Energies ◽  
2018 ◽  
Vol 11 (8) ◽  
pp. 2034 ◽  
Author(s):  
Javier Calvente ◽  
Abdelali El Aroudi ◽  
Roberto Giral ◽  
Angel Cid-Pastor ◽  
Enric Vidal-Idiarte ◽  
...  
Keyword(s):  
Control Theory ◽  
Sliding Mode Control ◽  
Sliding Mode ◽  
Switching Converters ◽  
Dynamics Model ◽  
Large Signal ◽  
Mode Control ◽  
Voltage Compensator ◽  
Start Up ◽  
Sliding Mode Dynamics

This paper presents a comprehensive approach to analyze and design the voltage and current loops of switching DC-DC converters by using sliding-mode control theory. The approach is interchangeably applied to switching converters under current-programmed control with both fixed and variable frequency modulation. An ideal sliding-mode dynamics model is then obtained together with its circuit schematic representation that can be used for designing the output voltage compensator, as well as to predict the large signal behavior such as during start-up and under large disturbances. Simulations and experimental measurements illustrate the theoretical approach for two different examples of switching converters.

scholarly journals HIGHER-ORDER SLIDING MODE DYNAMICS DESIGN FOR A CLASS OF SINGLE-INPUT LINEAR SYSTEMS

2020 ◽  
Vol 19 (2) ◽  
pp. 103
Author(s):  
Boban Veselić
Keyword(s):  
Linear Systems ◽  
Sliding Mode ◽  
Higher Order ◽  
System Matrix ◽  
Sliding Manifold ◽  
Single Input ◽  
Digital Simulations ◽  
Specific Sliding ◽  
Sliding Mode Dynamics ◽  
Mode Order

The paper considers a higher-order sliding mode dynamics design in a class of single-input linear systems having the invertible system matrix. The proposed sliding manifold selection method simultaneously provides a necessary relative degree of the sliding variable for a specific sliding mode order and the desired system dynamics after establishing that sliding mode. It is shown that the found unique solution satisfies these requirements. The theoretically obtained result is validated through a numerical example and illustrated by digital simulations.

Sliding Dynamics and Bifurcations in the Extended Nonsmooth Filippov Ecosystem

2021 ◽  
Vol 31 (08) ◽  
pp. 2150119
Author(s):  
Wenjie Qin ◽  
Xuewen Tan ◽  
Xiaotao Shi ◽  
Marco Tosato ◽  
Xinzhi Liu
Keyword(s):  
Sliding Mode ◽  
Threshold Value ◽  
Boundary Node ◽  
Refuge Strategy ◽  
Boundary Equilibrium ◽  
The Stability ◽  
Sliding Dynamics ◽  
Regular Equilibrium ◽  
Existence Of Equilibria ◽  
Sliding Mode Dynamics

We propose a nonsmooth Filippov refuge ecosystem with a piecewise saturating response function and analyze its dynamics. We first investigate some key elements to our model which include the sliding segment, the sliding mode dynamics and the existence of equilibria which are classified into regular/virtual equilibrium, pseudo-equilibrium, boundary equilibrium and tangent point. In particular, we consider how the existence of the regular equilibrium and the pseudo-equilibrium are related. Then we study the stability of the standard periodic solution (limit cycle), the sliding periodic solutions (grazing or touching cycle) and the dynamics of the pseudo equilibrium, using quantitative analysis techniques related to nonsmooth Filippov systems. Furthermore, as the threshold value is varied, the model exhibits several complex bifurcations which are classified into equilibria, sliding mode, local sliding (boundary node and focus) and global bifurcations (grazing or touching). In conclusion, we discuss the importance of the refuge strategy in a biological setting.

Quasi-Sliding Mode Control of a High-Precision Hybrid Magnetic Suspension Actuator

2013 ◽  
Vol 25 (1) ◽  
pp. 192-200 ◽  
Author(s):  
Dengfeng Li ◽  
◽  
Hector Martin Gutierrez
Keyword(s):  
Motion Control ◽  
Pid Controller ◽  
Feedback Linearization ◽  
Sliding Mode ◽  
High Gain ◽  
Magnetic Suspension ◽  
Iron Core ◽  
Full Knowledge ◽  
Feedback Linearization Approach ◽  
Sliding Mode Dynamics

A novel 1-DOF hybrid magnetic suspension actuator for precise motion control is presented. The actuator is designed to achieve sub-micron positioning accuracy over a range of motion in excess of 1000 µm while avoiding large nominal levitation currents and iron core saturation. The proposed passive push-active pull configuration offers precise motion control with moderate actuator effort when a payload is to be accurately suspended over a large range of travel. The proposed actuator can be used modularly to control multiple axes of motion in a multi-DOF positioning application that requires millimeter-range travel with submicron accuracy. A Quasi-Sliding Mode controller (QSM) is presented in which the sliding mode dynamics are directly designed, as opposed to the typical Lyapunov function approach that is solely based on stability. Since full knowledge of the state vector is required, a nonlinear high-gain observer was also designed and implemented. Performance of the QSM algorithm in controlling the proposed actuator is compared to that of a PID controller with standard feedback linearization. Several experiments are conducted to demonstrate both the positioning and tracking capabilities of the proposed actuator. The proposed QSM method shows better transient performance than the standard PID feedback linearization approach. QSM also shows better tracking performance, which is highly desirable in systems in which fast and accurate motion control along a desired path is critical.

scholarly journals Passivity-Sliding Mode Control of Uncertain Chaotic Systems with Stochastic Disturbances

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Zhumu Fu ◽  
Leipo Liu ◽  
Xiaohong Wang
Keyword(s):  
State Feedback ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
State Feedback Control ◽  
Control Technique ◽  
Linear Matrix ◽  
Stochastic Disturbances ◽  
Uncertain Chaotic Systems ◽  
The Mean ◽  
Sliding Mode Dynamics

This paper is concerned with the stabilization problem of uncertain chaotic systems with stochastic disturbances. A novel sliding function is designed, and then a sliding mode controller is established such that the trajectory of the system converges to the sliding surface in a finite time. Using a virtual state feedback control technique, sufficient condition for the mean square asymptotic stability and passivity of sliding mode dynamics is derived via linear matrix inequality (LMI). Finally, a simulation example is presented to show the validity and advantage of the proposed method.

scholarly journals Non-Fragile Sliding Mode Control of Uncertain Chaotic Systems

2011 ◽  
Vol 2011 ◽  
pp. 1-6 ◽  
Author(s):  
Leipo Liu ◽  
Zhengzhi Han ◽  
Zhumu Fu
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
External Disturbance ◽  
Sufficient Conditions ◽  
Sliding Surface ◽  
Mode Control ◽  
Rejection Level ◽  
Uncertain Chaotic Systems ◽  
Sliding Mode Dynamics

This paper is concerned with non-fragile sliding mode control of uncertain chaotic systems with external disturbance. Firstly, a new sliding surface is proposed, and sufficient conditions are derived to guarantee that sliding mode dynamics is asymptotically stable with a generalizedH2disturbance rejection level. Secondly, non-fragile sliding mode controller is established to make the state of system reach the sliding surface in a finite time. Finally, an example is given to illustrate the effectiveness of the proposed method.

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