A global time-varying sliding-mode control for the tracking problem of uncertain dynamical systems

Boukattaya, Mohamed; Gassara, Hamdi; Damak, Tarak

doi:10.1016/j.isatra.2019.07.003

Cited by 40 publications

(34 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The GSMC ensures the system state trajectories can be on the sliding-mode surface at an early time only, and the system robustness and disturbance elimination ability will improve [36,37]. A fast-decaying exponential nonlinear function has been added when designing the GSMC method for the linear sliding-mode switching surface equation [38]. Due to the extra exponential nonlinear switching functions, the sliding-mode state trajectory can quickly evolve into the linear sliding-mode surface [39].…”

Section: A Global Sliding-mode Control (Gsmc) Approch For Eccentric Fmentioning

confidence: 99%

Global Sliding-Mode Suspension Control of Bearingless Switched Reluctance Motor under Eccentric Faults to Increase Reliability of Motor

et al. 2020

View full text Add to dashboard Cite

Bearingless motor development is a substitute for magnetic bearing motors owing to several benefits, such as nominal repairs, compactness, lower cost, and no need for high-power amplifiers. Compared to conventional motors, rotor levitation and its steady control is an additional duty in bearingless switched reluctance motors when starting. For high-speed applications, the use of simple proportional integral derivative and fuzzy control schemes are not in effect in suspension control of the rotor owing to inherent parameter variations and external suspension loads. In this paper, a new robust global sliding-mode controller is suggested to control rotor displacements and their positions to ensure fewer eccentric rotor displacements when a bearingless switched reluctance motor is subjected to different parameter variations and loads. Extra exponential fast-decaying nonlinear functions and rotor-tracking error functions have been used in the modeling of the global sliding-mode switching surface. Simulation studies have been conducted under different testing conditions. From the results, it is shown that rotor displacements and suspension forces in X and Y directions are robust and stable. Owing to the proposed control action of the suspension phase currents, the rotor always comes back rapidly to the center position under any uncertainty.

show abstract

Section: A Global Sliding-mode Control (Gsmc) Approch For Eccentric Fmentioning

confidence: 99%

Global Sliding-Mode Suspension Control of Bearingless Switched Reluctance Motor under Eccentric Faults to Increase Reliability of Motor

et al. 2020

View full text Add to dashboard Cite

show abstract

“…10 Many of these controllers exhibit asymptotic convergence of the tracking error to the origin. 11,12 Terminal sliding mode (TSM) is a well-developed SMC option that offers a superior trajectory tracking outcome including a faster (compared with traditional first-order variants) finite-time convergence to the sliding surface (SS) as well as the state components included in SS. [13][14][15] The modern TSM design methods have overcome the main issue of TSM that is the singularity problem.…”

Section: Introductionmentioning

confidence: 99%

“…10 Many of these controllers exhibit asymptotic convergence of the tracking error to the origin. 11,12…”

Section: Introductionmentioning

confidence: 99%

Adaptive terminal sliding mode control of a regulated multidimensional electrospinning device for polymeric structures

Reyes-Garcia

Llorente-Vidrio

Santillán

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part I:

View full text Add to dashboard Cite

This study intends to present an automatic control design for a Cartesian electrospinning system with a dual moving platforms for the collector and the syringe subsystems which are mobilized using linear actuators. The proposed device is including a set of dual robotized structures, that is also carrying a structure to create the Taylor cone that regulates the nano-fiber deposition over the supporting platform. The suggested control form considers the synchronization between the syringe tip and the collector using a cascade tracking structure. A class of distributed state-dependent terminal sliding mode control form solves the tracking problem that yields the syringe-collector pair moves in a synchronized form tracking a bidimensional design that should be reproduced with the fibers deposition made of polyvinyl acid–based polymer. This controller also considers the working space restrictions in the Cartesian electrospinning system device using state-dependent gains which are obtained using a control barrier Lyapunov function. The application of the second stability method of Lyapunov serves to both design the state-dependent gains and prove that the tracking error trajectory is ultimate bound. The proposed controller is evaluated using a cyber-physical representation of the Cartesian electrospinning system device where the proposed controller is evaluated. This evaluation considers a comparison of the control effectiveness (using the root mean square value of the tracking error) with a traditional non-adaptive state feedback and a first-order sliding mode control. This comparison shows that the proposed adaptive controller induces the smallest root mean square among the tested control forms while reducing the magnitude of the overshoot for each actuator.

show abstract

“…Polynomial-type sliding mode function is developed, wherein if the sliding mode is retained by an appropriate control input, the system will reach the origin at the predefined terminal time point. 34,35 Nevertheless, the problem is that based on the proposed adaptive law, after the system leaves the sliding surface at the preliminary time, it will consume an infinite time to reach the sliding surface. That is, the sliding mode is practically established at t → ∞, which reduces the control precision.…”

Section: Introductionmentioning

confidence: 99%

Terminal time regulator‐based exact‐time sliding mode control for uncertain nonlinear systems

Shao

Zheng

Wang

et al. 2022

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This article proposes a sliding mode control scheme with exact convergence time for uncertain nonlinear systems. Terminal time regulator is defined for designing the global exact‐time time‐varying sliding mode. The proposed method has the following advantages: first, the reaching phase is absolutely eliminated from the initial time such that the sliding mode invariance is identically guaranteed on an entire dynamics; second, on the sliding mode, the system state converges to the origin exactly at the predefined settling time instant, rather than at an uncertain time instant with boundedness as obtained by existing methods; third, the control signal of the proposed controller is bounded even when the time approaches to the predefined settling time; and fourth, low‐pass filtering is utilized to suppress the signal chattering in the discontinuous control while maintaining the system transient behaviors by selecting a proper time constant. Lyapunov analysis verifies that for any initial condition the closed‐loop system can terminally converge to zero exactly at the predefined time instant. The proposed control is finally generalized for Euler–Lagrange (EL) systems.

show abstract

A global time-varying sliding-mode control for the tracking problem of uncertain dynamical systems

Cited by 40 publications

References 41 publications

Global Sliding-Mode Suspension Control of Bearingless Switched Reluctance Motor under Eccentric Faults to Increase Reliability of Motor

Global Sliding-Mode Suspension Control of Bearingless Switched Reluctance Motor under Eccentric Faults to Increase Reliability of Motor

Adaptive terminal sliding mode control of a regulated multidimensional electrospinning device for polymeric structures

Terminal time regulator‐based exact‐time sliding mode control for uncertain nonlinear systems

Contact Info

Product

Resources

About