Compensation of input delay that depends on delayed input

A new transport PDE/nonlinear ODE cascade model is proposed to simulate extrudate thickness for polymer extrusion with varying die gap. The model is developed to simulate extrusion in extrusion blow moulding. A finite element method simulator is used as a reference for the proposed model to replicate its time dependent extrudate thickness profile. The parameters of the proposed model are identified by minimizing the response error between the proposed model and the finite element method simulator due to step inputs. The novel model is computationally cheap, suitable for controller design, and effective in simulating the extrudate thickness.

show abstract

“…Many other control algorithms have been proposed for models having such structures in the literature. [ 33–40 ]…”

Section: Resultsmentioning

confidence: 99%

“…PDE/ODE cascade models are used to simulate and control various applications with complex dynamics due to different phenomena like material transport and wave propagation. [ 33–40 ]…”

Section: Introductionmentioning

confidence: 99%

Parameter identification of transport PDE/nonlinear ODE cascade model for polymer extrusion with varying die gap

et al. 2020

View full text Add to dashboard Cite

show abstract

“…u 1 and u 2 are the torque controllers acted on the wheels. Equation 3is nonlinear, its control design is usually difficult by using the prediction-based control methods [26], especially when the input delay is taken into account. However, the control task requires that ϕ is small during the whole motion process, so the control design can be based on the linearized equation with respect to ϕ round ϕ = 0.…”

Section: Problem Statementmentioning

confidence: 99%

“…In addition, time delays in controllers and uncertainties from modeling or measurement or perturbation are usually inevitable in real applications, but they are usually ignored in the literature [1]. The most popular methods to deal with input delay are related to the prediction-based compensation control strategy [26][27][28]. However, input delay is very important especially when some robust controls with high-frequency switching mechanism such as sliding mode controls are used, where the existence of input delay would lead to reversed control if the input delay is ignored.…”

Section: Introductionmentioning

confidence: 99%

Turning Motion Control Design of a Two-Wheeled Inverted Pendulum Using Curvature Tracking and Optimal Control Theory

Zhou

Wang

Chung

2019

J Optim Theory Appl

View full text Add to dashboard Cite

This paper presents a control design method for implementing planar turning motion of a two-wheeled inverted pendulum with an input delay. The control task requires that the inverted pendulum is kept stabilized during the whole turning motion process along a pre-settled curve. Firstly, by using the theory of planar curve, key observations about the motion law of the two-wheeled mobile chassis are made and they are used to set up a dynamical trajectory tracking target. Then, by adjusting the parameters in the tracking target and the weights in the quadratic performance criterion, the optimal integral sliding mode controller based on a linear quadratic regulator is designed for keeping the vehicle body stabilized and tracking a circular path for the two-wheeled inverted pendulum. An illustrative example is given to demonstrate the validity of the theory with numerical simulation. Keywords Two-wheeled inverted pendulum • Input delay • Curvature tracking • Optimal control • Dynamical tracking target

show abstract

“…In many cases the stabilization results are local, guaranteeing exponential stability in specific spatial norms. For nonlinear hyperbolic PDEs, feedback stabilization results are given in [5,10,13,14,21,30].…”

Section: Introductionmentioning

confidence: 99%

Global Stabilization of a Class of Nonlinear Reaction-Diffusion Partial Differential Equations by Boundary Feedback

Karafyllis¹,

Krstić²

2019

SIAM J. Control Optim.

Self Cite

View full text Add to dashboard Cite

This paper provides global exponential stabilization results by means of boundary feedback control for 1-D nonlinear unstable reaction-diffusion Partial Differential Equations (PDEs) with nonlinearities of superlinear growth. The class of systems studied are parabolic PDEs with nonlinear reaction terms that provide "damping" when the norm of the state is large (the class includes reaction-diffusion PDEs with polynomial nonlinearities). The case of Dirichlet actuation at one end of the domain is considered and a Control-Lypunov Functional construction is applied in conjunction with Stampacchia's truncation method. The paper also provides several important auxiliary results; among which is an extension of Wirtinger's inequality, used here for the construction of the Control Lyapunov functional.

show abstract

Compensation of input delay that depends on delayed input

Cited by 24 publications

References 38 publications

Parameter identification of transport PDE/nonlinear ODE cascade model for polymer extrusion with varying die gap

Parameter identification of transport PDE/nonlinear ODE cascade model for polymer extrusion with varying die gap

Turning Motion Control Design of a Two-Wheeled Inverted Pendulum Using Curvature Tracking and Optimal Control Theory

Global Stabilization of a Class of Nonlinear Reaction-Diffusion Partial Differential Equations by Boundary Feedback

Contact Info

Product

Resources

About