Evaluation of Fractional-Order Sliding Mode Control Applied to an Energy Harvesting System

Basilio, Julio Cesar C.; Oliveira, Tiago Roux; Ribeiro, José Geraldo Telles; Cunha, Americo

doi:10.1109/vss57184.2022.9902105

Cited by 1 publication

(1 citation statement)

References 27 publications

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“…We can cite, for instance, the work [5], where authors reported that the use of a Fractional Order Proportional Integral Derivative (FOPID) controller produced a significantly smaller control signal than the classic Proportional Integral Derivative (PID) controller, which would save energy for the actuator. Also, in [6], authors reported a lower control energy used when a Fractional Order Sliding Model Control (FOSMC) was applied to an energy harvesting system, compared to the classic non-integer case. In [7], on the other hand, Model Reference Adaptive Control (MRAC) schemes were presented, using orders for the adaptive laws in the interval (0, 1], which were obtained through Particle Swarm Optimization.…”

Section: Introductionmentioning

confidence: 99%

Error-Based Switched Fractional Order Model Reference Adaptive Control for MIMO Linear Time Invariant Systems

Aguila-Camacho,

Gallegos

2024

Fractal Fract

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This paper presents the design and analysis of Switched Fractional Order Model Reference Adaptive Controllers (SFOMRAC) for Multiple Input Multiple Output (MIMO) linear systems with unknown parameters. The proposed controller uses adaptive laws whose derivation order switches between a fractional order and the integer order, according to a certain level of control error. The switching aims to use fractional orders when the control error is larger to improve transient response and system performance during large disturbed states, and to obtain smoother control signals, leading to a better control energy usage. Then, it switches to the integer order when the control error is smaller to improve steady state. Boundedness of all the signals in the scheme is analytically proved, as well as convergence of the control error to zero. Moreover, these properties are extended to the case when system states are affected by a bounded non-parametric disturbance. Simulation studies are carried out using different representative plants to be controlled, showing that fractional orders and switching error levels can be found in most of the cases, such as when SFOMRAC achieves a better balance among control energy and system performance than the non-switched equivalent strategies.

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Section: Introductionmentioning

confidence: 99%