Hybrid PI controller constructed with paraconsistent annotated logic

Coelho, Marcelo Saraiva; Filho, João Inácio da Silva; Côrtes, Hyghor Miranda; Carvalho, Arnaldo de; Blos, Maurício F.; Mário, Maurício Conceição; Rocco, Alexandre

doi:10.1016/j.conengprac.2018.11.007

Cited by 23 publications

(29 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…A disadvantage of ReLU is that neurons tend to "die" during training, causing the neuron output to start producing only zeroes. A variation of ReLU, called Leaky-ReLU (LReLU), avoid this [20], whose function and derivative are presented in (8) and (9).…”

Section: A Artificial Neural Network Overviewmentioning

confidence: 99%

“…Noise, disturbances, and uncertainties are inherent aspects of real-world problems description [9], not usually considered by the state estimation methods for nonlinear control techniques [10]. The ANN attractiveness in identification and control derives from its intrinsic ability to use experimental data to model unknown systems, even with perturbations or uncertainties, enabling a notable alternative in situations where conventional methods could fail in determining the appropriate control laws [11].…”

mentioning

confidence: 99%

“…PAL2v allows an expert system to deal with concepts like uncertain, inconsistent, and incomplete data, such as those obtained from sensors, without risk of trivialization [17], [18]. A hybrid proportionalintegral (PI) control approach, using PAL2v cells to handle the controller inputs, has been implemented in process control with excellent results [9].…”

mentioning

confidence: 99%

See 2 more Smart Citations

Rotary Inverted Pendulum Identification for Control by Paraconsistent Neural Network

et al. 2021

Self Cite

View full text Add to dashboard Cite

Artificial neural networks (ANNs) have been used over the last few decades to perform tasks by learning with comparisons. Fitting input-output models, system identification, control, and pattern recognition are some fields for ANN applications. However, problems involving uncertain situations could be challenging for them. The family of paraconsistent logics (PL) is a powerful tool that can deal with uncertainty and contradictory information, so getting attention from researchers for its implications and applications in artificial intelligence. This investigation describes a novel activation function reasoned on the paraconsistent annotated logic by two-value annotations (PAL2v) rules, a variation of PL, allowing the design of a new paraconsistent neural net (PNN), applied in model identification for control (I4C) of a closed-loop rotary inverted pendulum (RIP) system.

show abstract

Section: A Artificial Neural Network Overviewmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Rotary Inverted Pendulum Identification for Control by Paraconsistent Neural Network

et al. 2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…If the annotation is (0, 0), then the degree of favorable evidence is minimum and the degree of unfavorable evidence is minimum, which provides a logical false and true connotation to proposition P. This paraconsistent signal defines the logical state "paracomplete" ⊥. Figure 1(a) shows the lattice FOUR associated with PAL and the representations of the extreme logical states in their vertices through the annotation (μ, λ) of PAL2v [25] [29,30].…”

Section: Paraconsistent Annotated Logic With Annotation Of Two Valuesmentioning

confidence: 99%

Application of Shannon Entropy in the Construction of a Paraconsistent Model of the Atom

Filho¹

2020

Preprint

Self Cite

View full text Add to dashboard Cite

In this work, we present a model of the atom that is based on a nonclassical logic called paraconsistent logic (PL), which has the main property of accepting the contradiction in logical interpretations without the conclusions being annulled. The proposed model is constructed with an extension of PL called paraconsistent annotated logic with annotation of two values (PAL2v), which is associated with an interlaced bilattice of four vertices. We use the logarithmic function of the Shannon entropy H(s) to construct the paraconsistent equations and thus adapt a probabilistic model for representations in quantum physics. Through analyses of the interlaced bilattice, comparative values are obtained for some of the phenomena and effects of quantum mechanics, such as superposition of states, quantum entanglement, wave functions, and equations that determine the energy levels of the layers of an atom. At the end of this article, we use the hydrogen atom as a basis of the representation of the PAL2v model, where the values of the energy levels in six orbital layers are obtained. As an example, we present a possible method of applying the PAL2v model to the use of Raman spectroscopy signals in the detection of lubricating mineral oil quality.

show abstract

“…The first concepts of PAL2v, which can be applied to artificial intelligence, were presented in [27]. As presented in [27], [28], [29], and [30], in the application of PAL2v, the associated lattice is considered an abstract universe τ, where a negation operator allows logical interpretations to result in paraconsistent equations. In data analysis systems, the PAL can derive an annotation composed of two degrees of evidence from different sources of information.…”

Section: Introductionmentioning

confidence: 99%

Application of the Shannon Entropy in the Construction of a Paraconsistent Model of the Atom

Filho¹

2019

Preprint

Self Cite

View full text Add to dashboard Cite

In this work, we present a model of the atom that is based on nonclassical logic called paraconsistent logic (PL), which has the main property of accepting the contradiction in logical interpretations without the conclusions being annulled. The model proposed in this work is constructed with the extension of PL called paraconsistent annotated logic with annotation of two values (PAL2v) that is associated with an interlaced bilattice of four vertices. We used the logarithmic function of the Shannon entropy H(s) with the inclusion of the normalized Planck constant ħ to construct the paraconsistent equations. Through the analyses of the interlaced bilattice, comparative values are obtained for some of the phenomena and effects of quantum mechanics, such as superposition of states, quantum entanglement, wave functions, and equations that determine the energy levels of the layers of the atom. At the end of this article, we use the hydrogen atom as the basis of the representation of the PAL2v model, where the values of the energy levels in six orbital layers are obtained. As an example, we present a possible method of applying the PAL2v model to the use of Raman spectroscopy signals in quality detection of lubricating mineral oil.With respect to the logic applied to quantum mechanics among various studies of quantum probabilistic logic formalism, one of the most important was developed by von Neumann in 1932 [11,12]. In his work, von Neumann assumed that each physical system is associated with a Hilbert space H (separable), with its unit vectors corresponding to possible physical states of the system. Each real "observable" random quantity is represented by a self-regulated operator A in H whose spectrum is the set of possible values of A [13][14][15][16].According to these previous works, mathematics in quantum mechanics can be considered a nonclassical probability calculation, which is supported by a nonclassical propositional logic [17,18].Nonclassical logics are created with the purpose of opposing the binary principles of classical logic, thus providing better conditions for the construction of physical-mathematical models with more approximate results. Currently, there are several types of nonclassical logics, and in general, we can consider that only those logics that are indestructible in the presence of the contradiction receive the denomination of paraconsistent logic (PL). Therefore, PL is a nonclassical logic that has, as its fundamental characteristic, the opposition to the principle of noncontradiction [19][20][21].The fundamental theory of PL has been developed in the area of philosophical logic [23], and a formal framework for inconsistent theories was proposed by da Costa [20]. Further details of the logical formalization of PL, the mathematical implications, and their theorems can be found in [10], [22], and [23]. Blair and Subrahmanian [24] presented applications of PL to logical programming and extended the formalization of three-valued semantics. With this initial work, a theory was developed for ...

show abstract

Hybrid PI controller constructed with paraconsistent annotated logic

Cited by 23 publications

References 7 publications

Rotary Inverted Pendulum Identification for Control by Paraconsistent Neural Network

Rotary Inverted Pendulum Identification for Control by Paraconsistent Neural Network

Application of Shannon Entropy in the Construction of a Paraconsistent Model of the Atom

Application of the Shannon Entropy in the Construction of a Paraconsistent Model of the Atom

Contact Info

Product

Resources

About