Sliding Mode Observer and Controller Design for Nonlinear Supersonic Missile

2013 ◽  
Vol 718-720 ◽  
pp. 1228-1233
Author(s):  
Hong Chao Zhao ◽  
Xian Jun Shi ◽  
Ting Wang
Keyword(s):  
Lyapunov Stability ◽  
Controller Design ◽  
Sliding Mode ◽  
Equations Of Motion ◽  
Lyapunov Stability Theory ◽  
Sliding Mode Observer ◽  
Sliding Mode Controller ◽  
Output Redefinition ◽  
Simulation Results ◽  
Nonlinear Equations Of Motion

The nonlinear equations of motion were constructed for a supersonic anti-warship missile. In order to estimate the unknown angle-of-attack, a sliding mode observer was designed. The convergence capability of the sliding mode observer was analyzed according to the Lyapunov stability theory. A sliding mode controller was designed to drive the missile normal overload output to track its command, based on the output-redefinition approach. In order to confirm the performance of the designed sliding mode observer and controller, a simulation example was carried out for nonlinear missile model. The simulation results show the fast convergence capability of the designed sliding mode observer and controller.

Design and Analysis of Non-linear Controller for a Standalone PV System using Lyapunov Stability Theory

2021 ◽  
pp. 1-22
Author(s):  
Narendra Kumar ◽  
Aman Sharma
Keyword(s):  
Lyapunov Stability ◽  
Stability Theory ◽  
Sliding Mode ◽  
Equilibrium Points ◽  
Lyapunov Stability Theory ◽  
Maximum Power ◽  
Hill Climbing ◽  
Sliding Mode Controller ◽  
Nonlinear Controller ◽  
Pv System

Abstract This paper presents Lyapunov Stability Theory based Nonlinear Controller Design for a Standalone PV System. The comparative analysis of different nonlinear controllers is also carried out . Due to the nonlinear characteristics of photovoltaic systems, conventional Hill-Climbing methods like Perturbate and Observe and Incremental Conductance do not show reliable tracking of Maximum Power under various uncertainties. Therefore, these methods require nonlinear tools to meet the control objectives and design specifications. Out of various nonlinear controlling techniques, the one presented in this paper is the Sliding Mode Approach for Maximum Power Point Tracking (MPPT). In context of Lyapunov Stability Theory, sliding mode approach uses a switching manifold. In this approach, the system trajectories are made to follow the sliding surface and to remain there forever to ensure the stability of equilibrium points. Two types of Sliding Mode controllers have been simulated namely Conventional - Sliding Mode Controller (CSMC) and Terminal - Sliding Mode Controller (TSMC). The results are analyzed and compared scientifically on various performance parameters including, duty cycle ratio, ideal and PV output power and time taken for error convergence, under varying dynamic conditions. All the control algorithms are developed in MATLAB/Simulink.

scholarly journals Fuzzy Sliding Mode Controller Design Using Takagi-Sugeno Modelled Nonlinear Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
S. Bououden ◽  
M. Chadli ◽  
H. R. Karimi
Keyword(s):  
Nonlinear Systems ◽  
Controller Design ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Sliding Mode Controller ◽  
Adaptive Fuzzy Sliding Mode ◽  
Approximation Errors ◽  
Adaptive Laws ◽  
Fuzzy Sliding Mode ◽  
Takagi Sugeno

Adaptive fuzzy sliding mode controller for a class of uncertain nonlinear systems is proposed in this paper. The unknown system dynamics and upper bounds of the minimum approximation errors are adaptively updated with stabilizing adaptive laws. The closed-loop system driven by the proposed controllers is shown to be stable with all the adaptation parameters being bounded. The performance and stability of the proposed control system are achieved analytically using the Lyapunov stability theory. Simulations show that the proposed controller performs well and exhibits good performance.

Outer synchronization of general colored networks with different-dimensional node via sliding mode control

2018 ◽  
Vol 32 (31) ◽  
pp. 1850342 ◽  
Author(s):  
Shuang Liu ◽  
Qingyun Wang
Keyword(s):  
Lyapunov Stability ◽  
Stability Theory ◽  
Control Method ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Sliding Mode Controller ◽  
Network Systems ◽  
Colored Complex ◽  
System Parameters ◽  
Linear Subsystem

In this paper, a separated sliding mode strategy is proposed for the synchronization of network systems. To break the predicament caused by the inhomogeneity of nodes coupling in complex network, a colored network with different node systems and edges is given. According to the nonlinear subsystem of the colored complex networks, a separated sliding mode controller is designed, while for the linear subsystem, some appropriate system parameters are established to implement synchronization. Then, based on the Lyapunov stability theory, the performance of the sliding mode controller is appraised through the synchronization for the colored networks consisting of different-dimensional systems and nonidentical interactions. In the end, two simulation illustrations are employed to demonstrate the presented control method.

scholarly journals Adaptive Fuzzy High-Order Super-Twisting Sliding Mode Controller for Uncertain Robotic Manipulator

2017 ◽  
Vol 26 (4) ◽  
pp. 697-715 ◽  
Author(s):  
Ankur Goel ◽  
Akhilesh Swarup
Keyword(s):  
Lyapunov Stability ◽  
Finite Time ◽  
Fuzzy Systems ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Robotic Manipulator ◽  
Sliding Mode Controller ◽  
Sliding Surface ◽  
Adaptive Fuzzy ◽  
Finite Time Convergence

AbstractThis paper presents a novel adaptive fuzzy high-order super-twisting sliding mode controller, based on the modified super-twisting control (STC), to achieve accurate trajectory tracking for a robotic manipulator with unknown structured uncertainties, parametric uncertainties, and time-varying external disturbances. Initially, a non-linear homogeneous sliding manifold is designed to achieve finite-time convergence, better robustness, and good transient characteristics. Afterwards, conventional STC is modified with the new sliding surface that eliminates the limitation of STC application only on relative degree 1 systems. Moreover, two adaptive fuzzy systems are designed to replace the STC signals for handling the chattering problem and overestimating the controller gains. These fuzzy systems are continuously adjusted by two adaptation laws that are deduced from the Lyapunov stability theory. These adaptive laws need only a sliding surface variable as an input and generate the optimal controller gains as an output. The finite-time convergence and stability of the proposed controller is analyzed by the homogeneous Lyapunov stability theory. Finally, to show the efficacy of the proposed method, the controller is simulated on a 2-degree-of-freedom planar robotic manipulator to obtain the accurate trajectory tracking. Simulation results demonstrate the superiority of the proposed control scheme in the presence of structured and unstructured uncertainties.

A Global Approach to Vehicle Control: Coordination of Four Wheel Steering and Wheel Torques

1994 ◽  
Vol 116 (4) ◽  
pp. 659-667 ◽  
Author(s):  
Ssu-Hsin Yu ◽  
John J. Moskwa
Keyword(s):  
Control Systems ◽  
Controller Design ◽  
Sliding Mode ◽  
Vehicle Control ◽  
Point Of View ◽  
Sliding Mode Controller ◽  
Global Approach ◽  
Ground Vehicles ◽  
Advanced Control ◽  
Simulation Results

Currently, advanced control systems implemented on production ground vehicles have the goal of promoting maneuverability and stability. With proper coordination of steering and braking action, these goals may be achieved even when road conditions are severe. This paper considers the effect of steering and wheel torques on the dynamics of vehicular systems. Through the input-output linearization technique, the advantages of four-wheel steering (4WS) system and independent torques control are clear from a mathematical point of view. A sliding mode controller is also designed to modify driver’s steering and braking commands to enhance maneuverability and safety. Simulation results show the maneuverability and safety are improved. Although the controller design is based on a four-wheel steering vehicle, the algorithm can also be applied to vehicles of different configurations with slight changes.

scholarly journals Partial Finite-Time Synchronization of Switched Stochastic Chua's Circuits via Sliding-Mode Control

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Zhang-Lin Wan ◽  
Yi-You Hou ◽  
Teh-Lu Liao ◽  
Jun-Juh Yan
Keyword(s):  
Lyapunov Stability ◽  
Finite Time ◽  
Time Synchronization ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Sliding Mode Controller ◽  
Time Stability ◽  
Switching Law ◽  
Finite Time Stability ◽  
The Mean

This paper considers the problem of partial finite-time synchronization between switched stochastic Chua's circuits accompanied by a time-driven switching law. Based on the Ito formula and Lyapunov stability theory, a sliding-mode controller is developed to guarantee the synchronization of switched stochastic master-slave Chua's circuits and for the mean of error states to obtain the partial finite-time stability. Numerical simulations demonstrate the effectiveness of the proposed methods.

scholarly journals Synchronization of Unified Chaotic Systems Using Sliding Mode Controller

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Yi-You Hou ◽  
Ben-Yi Liau ◽  
Hsin-Chieh Chen
Keyword(s):  
Secure Communication ◽  
Chaotic Systems ◽  
Controller Design ◽  
Sliding Mode ◽  
Problem Formulation ◽  
Sliding Mode Controller ◽  
Unified Chaotic System ◽  
Unified Chaotic Systems ◽  
Simulation Results ◽  
Chaotic Secure Communication

This paper presents a method for synchronizing the unified chaotic systems via a sliding mode controller (SMC). The unified chaotic system and problem formulation are described. Two identical unified chaotic systems can be synchronized using the SMC technique. The switching surface and its controller design are developed in detail. Simulation results show the feasibility of a chaotic secure communication system based on the synchronization of the Lorenz circuits via the proposed SMC.

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