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

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.

Design of Variable Structure Control with Bounded Inputs

2010 ◽  
Vol 29-32 ◽  
pp. 1175-1180
Author(s):  
Qing Kun Zhou ◽  
Sheng Jian Bai ◽  
Zhi Yong Zhang
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
Sliding Mode ◽  
Variable Structure ◽  
Closed Loop System ◽  
Variable Structure Systems ◽  
Structure Control ◽  
Variable Structure System ◽  
Lti System ◽  
The Stability

The design of variable structure system inputs which are constrained by saturation is studied. For a LTI system which satisfies some conditions, it is shown that appropriate bounded controllers guarantee the system’s global stability and maximize the sliding mode domain on the switching surfaces. Stability conditions of variable structure systems with constrained inputs are relaxed, and the stability of the closed-loop system is guaranteed by using passivity theory of linear passive systems. Moreover, nonlinear sliding surfaces are discussed for variable structure controller design, and a novel nonlinear switching surface is proposed. Finally, the proposed methods are applied to a 2nd order LTI system to show their usefulness.

Study on the Control of Fuzzy Sliding Mode Variable Structure of Aerospace Vehicle’s Attitude

2014 ◽  
Vol 912-914 ◽  
pp. 1412-1415
Author(s):  
Bin Li
Keyword(s):  
Feedback Linearization ◽  
Control Method ◽  
Sliding Mode ◽  
Adaptive Fuzzy Control ◽  
Fuzzy Variable ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Strongly Coupled ◽  
Structure Control ◽  
Unknown Disturbance

Based on the nonlinear, strongly coupled and uncertain model of the aerocraft vehicles attitude system, a fuzzy variable structure control method is proposed. Based on the feedback-linearization technique, the system was firstly decoupled into three independent SISO subsystems, and then controllers for each subsystem were designed. Modeling error and unknown disturbance is effectively restrained with the proposed adaptive fuzzy control with variable structure control. Theoretical analysis and simulation results show that the proposed method has high control accuracy, high robust and easy realization.

A Fuzzy Nonlinear Variable Structure Control Method for SVC

2012 ◽  
Vol 538-541 ◽  
pp. 2512-2517 ◽  
Author(s):  
Feng Cui ◽  
Yu Kai Gao ◽  
Chuan Ying Wang
Keyword(s):  
Feedback Linearization ◽  
Control Method ◽  
Fuzzy Controller ◽  
Sliding Mode ◽  
Variable Structure ◽  
State Equation ◽  
Mode Switching ◽  
Switching Function ◽  
Structure Control ◽  
Fuzzy Sliding Mode

The linear model state equation of single-machine infinity bus power system with SVC was gotten by feedback linearization technology. The SVC fuzzy sliding mode controller was designed for this model. In order to adjust the controller outputs, the value and its derivative of sliding mode switching function were chosen for fuzzy controller inputs. The simulation shows that the SVC controller effectively improves the quality of power response, and settles power oscillations quickly when a disturbance occurs.

Sliding Mode Variable Structure for Generator Excitation Control Based on the ESO

2011 ◽  
Vol 143-144 ◽  
pp. 108-113
Author(s):  
Yu Hui Zhang ◽  
Chang Bing Han ◽  
Tian Yun Li
Keyword(s):  
Feedback Linearization ◽  
Sliding Mode ◽  
External Disturbance ◽  
Variable Structure ◽  
System Stability ◽  
Excitation System ◽  
Structure Control ◽  
State Observation ◽  
Sliding Mode Variable Structure ◽  
Speed Accuracy

In this paper, a new ESO sliding mode controller that can improve the system stability was designed ,as to the strong nonlinear of generator excitation system and the characteristics of vulnerable to external disturbance, which application of feedback linearization, ESO and sliding model variable structure control theory. Firstly, it realized to linearization for nonlinear mould based on the feedback linearization theory, then it provide dynamic compensation for generator excitation system through constructing extended state observation device (ESO). The methods of factorial is used to design sliding mode switch function, theoretically, it guarantee generator rotor equation with expectations of poles. In order to reduce chattering ,through index near rate and quasi sliding mode control dynamic method to get the sliding control rate, it make the form conciseness, The results of simulation show that the speed , accuracy and stability of system are significantly improved by controller in dynamic and static . Introduction

A New Variable Structure Control Scheme for Mismatched Uncertain Large Scale Systems

2015 ◽  
Vol 789-790 ◽  
pp. 1005-1010
Author(s):  
Yao Wen Tsai ◽  
Phan Van Duc ◽  
Van Van Huynh
Keyword(s):  
Large Scale ◽  
Controller Design ◽  
Sliding Mode ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Order System ◽  
Large Scale Systems ◽  
Structure Control ◽  
Control Scheme ◽  
Output Information

In this paper, a new decentralized adaptive output feedback variable structure control scheme is designed for mismatched uncertain large-scale systems where the exogenous disturbance is unknown. The proposed approach uses output information completely in sliding surface and controller design. Therefore, conservatism is reduced and robustness is enhanced. Furthermore, the reduce order system in sliding mode is asymptotically stable under certain conditions. Finally, a numerical example is used to demonstrate the efficacy on the method.

Robust Sliding-Mode Control of a Nonlinear Process With Uncertainty and Delay

1987 ◽  
Vol 109 (3) ◽  
pp. 203-208 ◽  
Author(s):  
G. E. Young ◽  
S. Rao
Keyword(s):  
Controller Design ◽  
Sliding Mode ◽  
Binary Classification ◽  
Variable Structure ◽  
Nonlinear Process ◽  
System Response ◽  
Robust Controller ◽  
Structure Control ◽  
The Given

A nonlinear variable structure control strategy is combined with the reaction invariant to control pH in a mixing tank with process delay. A nonlinear predictor is utilized to estimate the actual pH from its measured value. System response is significantly improved by overlaying a variable structure on the controller gains. Uncertainty in the process delay, titration curve, and influent disturbance is incorporated into the controller design. Simulation studies show that Robust controller design is obtained by incorporating a procedure based on the binary classification of the system response to produce system behavior which is insensitive to the given system parameter uncertainty. This procedure provides a practical design of a sliding-mode controller regulating a system with significant process delay where the system state is not directly available.

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

1989 ◽  
Vol 111 (4) ◽  
pp. 631-640 ◽  
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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