Designing a Cascade-Control Structure Using Fractional-Order Controllers: Time-Delay Fractional-Order Proportional-Derivative Controller and Fractional-Order Sliding-Mode Controller

Binazadeh, Tahereh; Yousefi, Mojtaba

doi:10.1061/(asce)em.1943-7889.0001234

Cited by 25 publications

(15 citation statements)

References 33 publications

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“…Asymptotical stability is also investigated through the Lyapunov theorem. Cascade control structures for delayed systems are exemplified in [76]. Both master and slave controllers are of fractional order.…”

Section: Advanced Control Strategies and Focmentioning

confidence: 99%

A Survey of Recent Advances in Fractional Order Control for Time Delay Systems

et al. 2019

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Several papers reviewing fractional order calculus in control applications have been published recently. These papers focus on general tuning procedures, especially for the fractional order proportional integral derivative controller. However, not all these tuning procedures are applicable to all kinds of processes, such as the delicate time delay systems. This motivates the need for synthesizing fractional order control applications, problems, and advances completely dedicated to time delay processes. The purpose of this paper is to provide a state of the art that can be easily used as a basis to familiarize oneself with fractional order tuning strategies targeted for time delayed processes. Solely, the most recent advances, dating from the last decade, are included in this review.

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Section: Advanced Control Strategies and Focmentioning

confidence: 99%

A Survey of Recent Advances in Fractional Order Control for Time Delay Systems

et al. 2019

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“…Applying the IDA-PBC controller (11), results in (27) Time derivative of H d along the trajectories of system (27) is given by…”

Section: Robust Controller Designmentioning

confidence: 99%

“…and with initial condition q 1 , q 1 , q 2 , q 2 = 1, 0, − 1, 0 . Furthermore, since the discrete structure of ν x leads to chattering phenomena, thus, the sign function is approximated with the saturation function with a high slope to avoid chattering [22,27]. Fig.…”

Section: Inertia Wheel Pendulum Systemmentioning

confidence: 99%

Robust control approach for handling matched and/or unmatched uncertainties in port‐controlled Hamiltonian systems

Binazadeh

Karimi

Tavakolpour-Saleh

2019

IET cyber-systems robotics

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“…In order to avoid the chattering behavior sgn(S) may be substituted with its smooth approximation like the saturation function with high slope which is common in literature (Binazadeh & Yousefi, 2017;Chenarani & Binazadeh, 2017).…”

Section: Mathematical Model Of Magnetic Ball Levitation System In Thementioning

confidence: 99%

Robust output tracking of a class of non-affine systems

Binazadeh

Rahgoshay

2017

Systems Science & Control Engineering

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This paper considers the robust output tracking problem for a class of uncertain non-affine systems. The state-space equations of these systems have a non-affine quadratic polynomial structure. In order to design the output tracking controller, first the error dynamical equations are constructed. Then, a novel sliding mode controller is designed for robust stabilization of the error dynamical equations. For this purpose, a proper sliding manifold which is a function of error vector is suggested. According to upper and lower bounds of uncertainties, two quadratic polynomials are built and with respect to the location of the roots of the given polynomials, the new sliding mode control law is obtained. The proposed controller can conquer the uncertainties and guarantees the asymptotic convergence of the system output toward the wanted time-varying reference signal. Finally, in order to verify the theoretical results, the proposed method is applied to the magnetic ball levitation system. Computer simulations demonstrate the efficiency of the proposed method.

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Designing a Cascade-Control Structure Using Fractional-Order Controllers: Time-Delay Fractional-Order Proportional-Derivative Controller and Fractional-Order Sliding-Mode Controller

Cited by 25 publications

References 33 publications

A Survey of Recent Advances in Fractional Order Control for Time Delay Systems

A Survey of Recent Advances in Fractional Order Control for Time Delay Systems

Robust control approach for handling matched and/or unmatched uncertainties in port‐controlled Hamiltonian systems

Robust output tracking of a class of non-affine systems

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