Structurally variable control of Lurie systems

Gruyitch, Lyubomir; Bučevac, Zoran; Jovanović, Radiša; Ribar, Z. B.

doi:10.1080/00207179.2019.1569764

Cited by 4 publications

(9 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This model is taken from the paper. 46 Many models of friction describe the friction torque as a static and/or dynamic function of angular velocity. In this approach, the constant portion of the Coulomb model is replaced by Stribeck function.…”

Section: Nonlinear DC Motor Modelmentioning

confidence: 99%

“…The viscous component of friction torque is a linear function, and friction curve of Stribeck model is nonlinear function, and they will be considered separately. 46 The nonlinear mathematical model is adopted 46 as:…”

Section: Nonlinear DC Motor Modelmentioning

confidence: 99%

“…In order to identify friction for the given DC motor, two distinct experiments were performed. 46 Stribeck effect is most visible for low velocities, so the part of the obtained friction curve T st (v) for the velocities between 20.04 to 0.04 rad/s is depicted. It is assumed that friction characteristics are symmetrical, for negative and positive values of angular velocity:…”

Section: Nonlinear DC Motor Modelmentioning

confidence: 99%

“…In Gruyitch et al 46 authors use a line of finite slope, up to a very small threshold e, in order to overcome the jump discontinuity of the proposed friction model, at v = 0. In this paper that was not possible because of the feedback linearization constraints.…”

Section: Nonlinear DC Motor Modelmentioning

confidence: 99%

See 3 more Smart Citations

Control of a DC motor using feedback linearization and gray wolf optimization algorithm

Vesović

Jovanović

Trišović

2022

Advances in Mechanical Engineering

View full text Add to dashboard Cite

The aim of this study is to investigate nonlinear DC motor behavior and to control velocity as output variable. The linear model is designed, but as it is experimentally verified that it does not describe the system well enough it is replaced by the nonlinear one. System’s model has been obtained taking into account Coulomb and viscous friction in the firmly nonlinear environment. In the frame of the paper the dynamical analysis of the nonlinear feedback linearizing control is carried out. Furthermore, a metaheuristic optimization algorithm is set up for finding the coefficient of the proportional-integral feedback linearizing controller. For this purpose Gray wolf optimization technique is used. Moreover, after the introduction of the control law, analysis of the pole placement and stability of the system is establish. Optimized nonlinear control signal has been applied to the real object with simulated white noise and step signal as disturbances. Finally, for several desired output signals, responses with and without disruption are compared to illustrate the approach proposed in the paper. Experimental results obtained on the given system are provided and they verify nonlinear control robustness.

show abstract

Section: Nonlinear DC Motor Modelmentioning

confidence: 99%

Section: Nonlinear DC Motor Modelmentioning

confidence: 99%

Section: Nonlinear DC Motor Modelmentioning

confidence: 99%

Section: Nonlinear DC Motor Modelmentioning

confidence: 99%

See 2 more Smart Citations

Control of a DC motor using feedback linearization and gray wolf optimization algorithm

Vesović

Jovanović

Trišović

2022

Advances in Mechanical Engineering

View full text Add to dashboard Cite

show abstract

“…Lurie systems are a type of feedback system with linear dynamics and nonlinear, static (but potentially time-varying) feedback. Lurie systems enjoy a well-grounded theory of stability [28], but are still a thriving field of study [29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Observer Design for a Variable Moment of Inertia System

Baranowski¹

2021

Energies

View full text Add to dashboard Cite

Variable moment of inertia systems are common, and a popular laboratory system of this type is the “ball-and-beam”. Such systems are, however, nonlinear and often unstable. Efficient control requires full state information (or at least partial velocities), which are generally difficult to measure. That is why the design of state observers is a relevant problem. In this paper, a new design of an observer is proposed. This new nonlinear observer uses partial output injection and the circle criterion to ensure semiglobal stability. Moreover, we present a complete modeling of the system and systematic testing of the observer in comparison to a baseline in the form of a linear observer. The results show that the designed observer outperforms its linear counterpart and does not impede control.

show abstract

Grey Wolf Optimization for Position Control of a Direct Current Motor Driven by Feedback Linearization Method

Vesović¹,

Jovanović²

2022

Proceedings of the International Scientific Conference - Sinteza 2022

View full text Add to dashboard Cite

Several studies dealing with position control of the DC motor have reported issues concerning friction force. This article demonstrates a nonlinear control and optimization strategy for position control of a series servo motor. Once it is empirically verified that the linear model does not adequately reflect the system, the model is upgraded from linear to nonlinear. In the course of the research, the nonlinear feedback linearizing the controller's behavior is examined. A grey wolf metaheuristic optimization algorithm is used to find the coefficients of the controller's gains. In this way, modern methods are applied to take a fresh look at the existing problem. Furthermore, performance for various targeted output signals is compared to show the approach proposed in the study. Also, a comparative analysis with whale optimization algorithm is performed. The experimental results acquired on the stated system are shown, and they validate the usage of the nonlinear control, demonstrating the effectiveness of using optimum feedback linearization in electrical machines.

show abstract

Structurally variable control of Lurie systems

Cited by 4 publications

References 27 publications

Control of a DC motor using feedback linearization and gray wolf optimization algorithm

Control of a DC motor using feedback linearization and gray wolf optimization algorithm

Observer Design for a Variable Moment of Inertia System

Grey Wolf Optimization for Position Control of a Direct Current Motor Driven by Feedback Linearization Method

Contact Info

Product

Resources

About