Robust Time-Varying Tracking Control of Sandwich Nonlinear Systems with Sandwiched Saturation Nonlinearity

Azhdari, Meysam; Binazadeh, Tahereh

doi:10.1007/s00034-020-01425-7

Cited by 9 publications

(2 citation statements)

References 36 publications

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“…One of the wellknown non-smooth non-linearities in control input is the dead zone which often occurs in many practical systems such as hydraulic actuators, electrical servomotors, piezoelectric, and mechanical connections [11][12][13]. In most cases, it occurs due to the inherent features of actuators, imperfection of system equipment, and limitations on the system's performance which may degrade the responses, create undesirable behaviours, and even lead to instability of systems [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Robust adaptive finite‐time control design for the generation of stable oscillations in the strict‐feedback form non‐linear systems with input dead‐zone non‐linearity

Azhdari

Binazadeh

2022

IET Control Theory & Appl

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This paper presents a novel finite‐time limit cycle control for a class of strict‐feedback non‐linear systems with input dead‐zone non‐linearity, parameter uncertainties, and unknown disturbances. Creating attractive limit cycles in the phase plane of dynamical systems leads to generating sustained oscillations in the system's output. Achieving the finite‐time limit cycle is an extremely challenging problem because existing finite‐time theorems cannot be applied directly. To solve this difficulty, a novel structure of the sliding surface is introduced concerning the shape of the desired limit cycle. Then, to achieve the control objective, the sliding mode and backstepping control techniques are employed throughout the finite‐time stability concept. Simultaneously, to deal with the parameter uncertainties in the system's dynamic, the adaptive scheme is utilized. Moreover, a finite‐time command filter is introduced to cope with the trouble of the explosion of complexity in the backstepping method. The presented method rigorously ensures that the trajectories of the closed‐loop system converge to a small boundary region of the desired stable limit cycle within a finite time and equivalently the system's output reaches the desired periodic oscillation after a finite time. The applicability and effectiveness of the proposed method are validated by providing the comparative simulation results.

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Section: Introductionmentioning

confidence: 99%

Robust adaptive finite‐time control design for the generation of stable oscillations in the strict‐feedback form non‐linear systems with input dead‐zone non‐linearity

Azhdari

Binazadeh

2022

IET Control Theory & Appl

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“…The tracking problem of sandwich systems with dead-zone nonlinearity has been solved by Song et al (2017) and Azhdari and Binazadeh (2020a). Solving the time-varying output tracking problem for sandwich systems with sandwiched saturation function has been investigated by Azhdari and Binazadeh (2020b; 2020c).…”

Section: Introductionmentioning

confidence: 99%

Uniformly ultimately bounded tracking control of sandwich systems with nonsymmetric sandwiched dead-zone nonlinearity and input saturation constraint

Azhdari

Binazadeh

2021

Journal of Vibration and Control

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This article studies the uniformly ultimately bounded output tracking problem of uncertain nonlinear sandwich systems with sandwiched dead-zone nonlinearity in the presence of some practical constraints such as nonsymmetric input saturation, model uncertainties, time-varying external disturbances, and unknown parameters. Due to the existence of both dead-zone and saturation nonlinearities, the design process is more complicated; therefore, to solve the design complexities, the designing process is divided into two phases. The proposed method leads to output tracking with acceptable accuracy. Moreover, all signals in the closed-loop system are ultimately bounded. Simulation results illustrate the applicability and effectiveness of the proposed method by its application on two practical sandwich systems (robotic system and electrohydraulic servo press system).

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Limit cycle oscillator in nonlinear systems with multiple time delays

Hakimi

Azhdari²,

Binazadeh³

2021

Chaos, Solitons & Fractals

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Robust Time-Varying Tracking Control of Sandwich Nonlinear Systems with Sandwiched Saturation Nonlinearity

Cited by 9 publications

References 36 publications

Robust adaptive finite‐time control design for the generation of stable oscillations in the strict‐feedback form non‐linear systems with input dead‐zone non‐linearity

Robust adaptive finite‐time control design for the generation of stable oscillations in the strict‐feedback form non‐linear systems with input dead‐zone non‐linearity

Uniformly ultimately bounded tracking control of sandwich systems with nonsymmetric sandwiched dead-zone nonlinearity and input saturation constraint

Limit cycle oscillator in nonlinear systems with multiple time delays

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