A novel discrete PID+ controller applied to higher order/time delayed nonlinear systems with practical implementation

Shaban, E. M.; Sayed, Hussein Amin El; Abdelhamid, A.

doi:10.1007/s40435-018-0472-5

Cited by 11 publications

(10 citation statements)

References 12 publications

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“…Define the control matrices K p , K i , K d as (23), and the matrices B, B ε satisfy (32 (35) to analyze the output delay robustness of sampled-data PID control and also design the corresponding control gains. Moreover, similar analysis method may be extended to the time-varying delay case, which needs the bound and variation rate of the time-varying delay.…”

Section: 𝜁(S)dsmentioning

confidence: 99%

“…The parameters tuning of discrete PID control has been proposed by pole placement for a practical Bitumen system in discrete‐time transfer function 22 . Shaban and Sayed 23 have designed a discrete PID+ controller for the higher nonlinear delay system, and tuned the PID parameters by linear quadratic cost function and pole placement, respectively. For the continuous‐time model, with the implementation of sample‐data, the derivative term of PID control is replaced by the difference between the current state and delay state, thus the finite difference method has been studied extensively 24‐26 .…”

Section: Introductionmentioning

confidence: 99%

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Robust sampled‐data PID controller design for regulation control of nonlinear systems with output delay

2023

Intl J Robust & Nonlinear

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In this article, the robust sampled‐data PID controller design for regulation control of second‐order nonlinear systems with output delay is studied. With the finite difference method, the sampled‐data PID controller is designed utilizing the sampled delay output. A sufficient condition is proposed to guarantee the exponentially regulating of the nonlinear system output to a set‐point. Then the corresponding robust sampled‐data PID controller is designed by solving a linear matrix inequality feasible problem. Furthermore, the robust design of sampled‐data PID control for regulation control of second‐order nonlinear systems against output delay is also given. The control performance comparison and the Monte Carlo simulation are given in numerical examples to illustrate the efficiency of the main results.

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Section: 𝜁(S)dsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust sampled‐data PID controller design for regulation control of nonlinear systems with output delay

2023

Intl J Robust & Nonlinear

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“…Furthermore, for further analysis, certain forms of velocitydependent rolling resistance forces are negligibly small except for those forces, which may occur due to track deflection. Without any cross-wind effect and in the openair conditions, the total drag on the traveling train is usually calculated by the use of the following Davis' formula [16,17]:…”

Section: Modeling Of Longitudinal Dynamics Of Multipleunit Trainsmentioning

confidence: 99%

“…As in the past, PID controllers are readily used in control applications due to their universality and simple structure [16,17]. They are used not only in low-order systems but even in high-order systems owing to their advantageous properties.…”

Section: Modeling Of Longitudinal Dynamics Of Multipleunit Trainsmentioning

confidence: 99%

Coupler force reduction method for multiple-unit trains using a new hierarchical control system

Jackiewicz

2021

Rail. Eng. Science

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During traction and braking of multiple-unit trains, substantial longitudinal dynamic forces might occur in couplers due to the non-optimal distribution of traction and braking forces generated by self-propelled carriages. These dynamic forces might create shocks affecting the reduction of endurance of the weakest train structural components primarily. Thus, the overall operational safety of the train is also lowered. The purpose of the paper is to develop a new control system to supervise the activities related to the longitudinal dynamics of each train carriage in a multiple-unit train to reduce the longitudinal coupler forces acting during train traction and braking. The hierarchical structure of the control system consists of two levels. The first master level of control works like standard cruise control. However, the reduction of longitudinal coupler forces is achieved by applying a second level of slave control systems with a control configuration of feedback compensation.

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“…Ahmad et al [2] used two PID controllers to control the angle tracking and vibration of the flexible joint robot based on levy flight safety experiment dynamics algorithm. Shaban et al [3] proposed a new discrete-time PID controller and applied it to the control of a four degrees-of-freedom manipulator successfully. Paul and Morales-Menendez [4] proposed to use intelligent proportion differentiation (PD)/proportion integration differentiation (PID) control to reduce chatter in the milling process.…”

Section: Introductionmentioning

confidence: 99%

Digital Twin-Driven Controller Tuning Method for Dynamics

Xiao

2021

Journal of Computing and Information Science in Engineering

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The control performance of the control system directly affects the running performance of the product. In order to solve the problem that the dynamics characteristics of mechanical systems are affected by the performance degradation of the controller, a digital twin-driven PID controller tuning method for dynamics is proposed. In this paper, firstly, the structure and operation mechanism of digital twin model for PID controller tuning are described. By using the advantages of virtual real mapping and data fusion of digital twin model, combined with the online identification of controlled object model, the problems of real-time feedback of actual control effect of the controller and unreal virtual model of control system caused by time-varying working conditions are effectively solved, and the closed-loop self-tuning of PID controller is realized. At the same time, intelligent optimization algorithm is integrated to improve the efficiency and accuracy of PID controller parameter tuning. Secondly, the modeling method of digital twin model is described from three aspects of physical prototyping, twin service system, and virtual prototyping. Finally, the controller tuning for gear transmission stability is taken as an example to verify the practicability of the proposed method.

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A novel discrete PID+ controller applied to higher order/time delayed nonlinear systems with practical implementation

Cited by 11 publications

References 12 publications

Robust sampled‐data PID controller design for regulation control of nonlinear systems with output delay

Robust sampled‐data PID controller design for regulation control of nonlinear systems with output delay

Coupler force reduction method for multiple-unit trains using a new hierarchical control system

Digital Twin-Driven Controller Tuning Method for Dynamics

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