scholarly journals Integrator-Backstepping Based Control for Nonlinear Roll-to-Roll Web Dynamics

2019 ◽  
Vol 3 (2) ◽  
pp. 14-20
Author(s):  
Keyword(s):  
Numerical Simulation ◽  
Printed Electronics ◽  
Tracking Error ◽  
Control Analysis ◽  
Feedback Form ◽  
Control Lyapunov Function ◽  
Analysis And Design ◽  
Roll To Roll ◽  
Integrator Backstepping ◽  
Strict Feedback

The paper presents a method for control analysis and design of roll-to-roll (R2R) dynamic system for printed electronics technology. The research provides an advanced control analysis and design methodology for a general multioutput multi-input (MIMO) strict-feedback class of nonlinear dynamic systems. The research starts with an integrator-backstepping control (IBSC) law formulation for the system by defining the modified tracking error in term of integral of normal tracking error. Considering each sublayer of control design process via a chosen Control Lyapunov function (CLF) and parameter assignment results in anIBSC law. Then, an IBSC law-based control strategy is provided for the design model. For the application of the proposed method, dynamic analysis on roll-to-roll (R2R) web system is made to transform a general nonlinear R2R web dynamics into a standard MIMO strict-feedback form for control analysis and design purposes. With the achieved model, an IBSC-based control algorithm is provided for numerical simulation and experiments. A control software is developed for implementing studies of numerical simulation and experiments to validate the reliability and feasibility of the proposed method.

Backstepping-based control methodology for aircraft roll dynamics

2019 ◽  
Vol 234 (4) ◽  
pp. 566-574 ◽  
Author(s):  
Thanh T Tran ◽  
Oscar R Gonzalez
Keyword(s):  
Control Method ◽  
Tracking Error ◽  
Feedback System ◽  
Backstepping Control ◽  
Control Law ◽  
Feedback Form ◽  
Control Lyapunov Function ◽  
Aircraft Model ◽  
Langley Research Center ◽  
Strict Feedback

This article investigates a backstepping-based control method for aircraft roll dynamics. The research starts with a formulation of backstepping control law for a general class of a strict-feedback form of nonlinear dynamic systems. The backstepping control law is formulated by introducing a normal tracking error. Then, control and virtual control inputs are selected by addressing each layer of the design process with a chosen corresponding control Lyapunov function. The parameter assignment in each design layer is selected to ensure the stability of the entire system. Next, a backstepping-based control algorithm with online-gain schedule or variable gains is provided for the standard strict-feedback system. In order to validate the proposed method, application of roll dynamics of aircraft is implemented. Dynamic equations of free-to-roll aircraft model is restructured in a standard strict-feedback model for formulating the backstepping control. Then, a backstepping control–based control strategy is provided for aircraft free-to-roll dynamics. Indoor experimental and simulation studies of roll angle control for the L-59 free-to-roll aircraft model at NASA Langley Research Center are implemented to verify and validate the proposed approach.

scholarly journals Adaptive Robust Control for Networked Strict-Feedback Nonlinear Systems with State and Input Quantization

Electronics ◽  
2021 ◽  
Vol 10 (22) ◽  
pp. 2783
Author(s):  
Yanbin Liu ◽  
Jue Wang ◽  
Luis Gomes ◽  
Weichao Sun
Keyword(s):  
Robust Control ◽  
Nonlinear Systems ◽  
Networked Control Systems ◽  
Tracking Error ◽  
Adaptive Robust Control ◽  
Feedback Form ◽  
Control Approach ◽  
Input Quantization ◽  
The Stability ◽  
Strict Feedback

Backstepping method is a successful approach to deal with the systems in strict-feedback form. However, for networked control systems, the discontinuous virtual law caused by state quantization introduces huge challenges for its applicability. In this article, a quantized adaptive robust control approach in backsetpping framework is developed in this article for networked strict-feedback nonlinear systems with both state and input quantization. In order to prove the efficiency of the designed control scheme, a novel form of Lyapunov candidate function was constructed in the process of analyzing the stability, which is applicable for the systems with nondifferentiable virtual control law. In particular, the state and input quantizers can be in any form as long as they meet the sector-bound condition. The theoretic result shows that the tracking error is determined by the pregiven constants and quantization errors, which are also verified by the simulation results.

Adaptive Backstepping Stabilization of Uncertain Switched Nonlinear Systems in Parametric Strict-Feedback Form

2010 ◽  
Author(s):  
Arash Haghpanah ◽  
Mohammad Eghtesad ◽  
Mohammad Rahim Hematiyan ◽  
Alireza Khayatian
Keyword(s):  
Nonlinear Systems ◽  
Design Method ◽  
Adaptive Controller ◽  
Control Input ◽  
Switched Nonlinear Systems ◽  
Adaptive Backstepping ◽  
Feedback Form ◽  
Control Lyapunov Function ◽  
Globally Asymptotically Stable ◽  
Strict Feedback

This paper considers the stabilization problem for a class of parametric switched nonlinear systems under arbitrary switching and parameter uncertainty. A parametric strict-feedback form is adopted in order to represent the switched system. Using the adaptive backstepping approach a common control Lyapunov function under simultaneous domination assumption is constructed and then a control input is designed such that the system is globally asymptotically stable. The design method is developed in a recursive manner and results in an overparametrized adaptive controller. The procedure is illustrated by a descriptive example and the simulation results verify the effectiveness of the designed controller in the system performance.

Passivity-Based Nonlinear Control Strategies for Strict Feedback Form Systems

1999 ◽  
Author(s):  
Andrew Alleyne
Keyword(s):  
Dynamic Systems ◽  
Output Feedback ◽  
State Feedback ◽  
Control Strategies ◽  
Model Structure ◽  
Feedback Form ◽  
Suggested Approach ◽  
Integrator Backstepping ◽  
Adaptive Approaches ◽  
Strict Feedback

Abstract This paper presents a tracking algorithm for the control of nonlinear dynamic systems represented in Strict Feedback Form. The construction of the stabilizing algorithm is given using Passivity-based arguments which result in a Passivity-Based Controller (PBC). Also shown are simulations demonstrating the performance of the suggested approach. This paper also shows a direct comparison with the most popular control strategy for Strict Feedback Form Systems: Integrator Backstepping. It is shown that although Integrator Backstepping has several advantages, most notably flexibility in designing output feedback and adaptive approaches, there do exist important situations that favor the PBC. When the model structure is poorly known, the PBC contains diagnostic effects allowing it to systematically pinpoint parts of the model containing inaccuracies. Moreover, the PBC can be simpler to implement than the Backstepping algorithms in the non-adaptive, state feedback case.

Register control of roll-to-roll gravure-offset printing equipment considering time difference between measurement and actuation

2012 ◽  
Vol 226 (11) ◽  
pp. 2726-2738 ◽  
Author(s):  
Chung Hwan Kim ◽  
Ha-Il You ◽  
Seung-Hyun Lee
Keyword(s):  
Measurement System ◽  
Position Control ◽  
Printed Electronics ◽  
Control Method ◽  
Axial Direction ◽  
Time Difference ◽  
Offset Printing ◽  
Drying Time ◽  
Roll To Roll ◽  
The Web

The manufacture of printed electronics by roll-to-roll printing machine requires more accurate register performance than conventional media printing technology. Moreover, high drying temperature and long drying time to sinter the inks can induce the substantial changes in the length of the substrate and consequently register errors. Among the roll-to-roll printing methods, the gravure one, despite its relatively fast productivity and fine-line printing capacity, has difficulty in achieving the required register specifications for printed electronics because of the dependence of the register control on web dynamics. This study proposes a roll-to-roll gravure-offset printing equipment, including the register measurement system designed to enhance register performance and the related register control method for the application of printed electronics. Each cylinder constituting the printing unit is driven independently by an individual servomotor. Moreover, the printing patterns of the plate cylinder can move in the axial direction by position control, as well as in the web transport direction by a phase shift of the plate cylinder, without affecting the dynamics of the web. The time difference between the measurement and the actual control action is considered and modeled. The register measurement system, including selections of sensors and marks is also proposed to consider the effect of the time difference. The simulation results and the experiments of the register control are shown to verify the effect of the time difference on the control performances. It is found that a proper estimation of time difference should be obtained in order to guarantee more accurate and stable control performances.

scholarly journals A Microcontrolled System Applied to Process Control Analysis and Design

1997 ◽  
Vol 30 (7) ◽  
pp. 463-467
Author(s):  
Márcio G. Faccin ◽  
Julio C.S. Vicente ◽  
Moisés M.B. Pontremoli ◽  
Romeu Reginatto
Keyword(s):  
Process Control ◽  
Control Analysis ◽  
Analysis And Design
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