International Journal of Digital Signals and Smart Systems (5 papers in press)

Regular Issues

• Modern explanation of the proton radius puzzle, an extension of the standard model: muonic radii rp(d), rp(p) and rd(d) are novel physical constants  
  by Jamil KOOLI 
  Abstract: The main object of this paper is to demonstrate the existing of real fundamental links between the 'constants' of muonic and electronic hydrogen and deuterium, which could confirm the muonic radii as new fundamental physical constants, which also could provide the first muonic constants of a novel physics incorporating the exotic atoms. We determined an absolute expression for the deuteron radius, r_d, from electronic deuterium, and another absolute expression for the muonic deuteron radius, r_d(µd), from muonic deuterium. We established a close relationship between the electronic radius r_p and the muonic radii, r_d(µd), r_p(µd), and r_p(µp). For our calculations, we utilised the most precise experimental data of Randolf Pohls team. We obtain: 1) r_d(µd) ≈ 2.12852(78) fm; 2) r_p ≈ 0.87564(61) fm; 3) r_p(µd), ≈ 0.83580(20) fm; 4) electronic (r²_d - r²_p) ≈ 3.81928(35) (fm)² all linked to; 5) r_d ≈ 2.1415(45) fm; 6) r_p(µp) ≈ 0.8409(4) fm. We only reserve the sign equal (=) for absolute physical constants.
  Keywords: proton radius puzzle; electronic deuteron radius; electronic proton radius; muonic radii; standard model; novel physics; fundamental links.
  DOI: 10.1504/IJDSSS.2021.10044735
   
  
• Delay-dependent robust optimal H-infinity control for uncertain 2-D discrete systems described by the general model with both state and input delays  
  by Arun Kumar Singh 
  Abstract: This paper presents the problem of delay-dependent robust optimal H-infinity control for a class of uncertain two-dimensional (2-D) discrete systems described by the general model (GM) with both state and input delays. The parameter uncertainties are assumed to be norm-bounded. Based on a summation inequality, a linear matrix inequality (LMI)-based sufficient condition for the existence of gamma-suboptimal state feedback H-infinity controllers is established. Furthermore, a convex optimization problem with LMI constraints is formulated to design a delay-dependent optimal state feedback H-infinity controller which minimizes the H-infinity noise attenuation gamma of the closed-loop system. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed method.
  Keywords: General model; H-infinity control; input delays; linear matrix inequality; state delays; uncertain systems.
  
  
• The proton radius puzzle: an absolute expression emerges for the muonic proton - neutron radius ratio  
  by KOOLI Jamil, KOOLI Jamil 
  Abstract: In the present paper we are continuing to confirm how the muonic radiuses are closely linked to the classical constants. Our new relationship leads to an absolute definition for the Bohr radius. It links the absolute values of the Bohr radius, the proton charge radius from muonic hydrogen, and the neutron radius. The numerical applications using the CODATA-2018 Bohr radius value give preliminary values. We obtain: 1) r_p(µp)/r_n ≈ 0.95827 (16); 2) r_n ≈ 0.87752 (12) fm; 3) r_p/r_n ≈ 0.997826 (25). These calculations have been effectuated using the value r_p(µp) ≈ 0.8409 (4) fm (Pohl, 2014). But they are preliminary because we do not exclude that the absolute value of the Bohr radius could be inferior to the Bohr radius value derived from the classical definition. The absolute Bohr radius seems then as enigmatic as the fine structure absolute value. We only reserve the sign equal (=) for the absolute values of the constants.
  Keywords: Bohr radius; neutron radius; proton radius puzzle; electronic proton charge radius; ‘muonic radiuses’; exotic atoms.
  DOI: 10.1504/IJDSSS.2021.10044738
   
  
• Design and 3D FEA based investigation of performances of a New Claw-pole TFPM Topology  
  by Anis Njeh, Hafedh Trabelsi 
  Abstract: This paper present a new configuration of claw-pole transverse flux permanent magnet synchronous machine (TFPM), this machine is characterized by a discoid rotor and a stator which contains claw-shaped teeth allowing conduction of the flux in the axial direction into the stator. The machine offers the advantage of having a smaller machine volume and to operate with a same rotor disc for two stator phases, unlike existing claw pole machines. The machine combines the advantages of Transverse flux Synchronous Machines (TFPM) and the Axial Flux Synchronous Machine (AFPM). The claw-pole TFPM machine with discoid rotor and axial air gap has a higher electric and magnetic loading which leads to the very high torque density of the new TFPM compared to AFPMs, the structure of the presented machine with an inserted winding between the stator inner and outer parts, instead of distributed or fractional-slot ones, this eliminates the end-windings found in the AFPMs, which minimize the copper losses. A specific sizing of the stator teethes is required for this design where the dimensions depend on the used length of the overlap between teethes. This configuration of clawpole TFPM gives the advantage of a smaller machine with a shorter length in the axial direction and can be mounted directly in vehicle wheels. For Performance analysis and comparison to the cylindrical rotor machine, this work present a study based on 3D Finite Element Analysis (FEA) of the output torque and the cogging torque of the proposed new design of claw pole TFPM for the single-phase and two-phase machine.
  Keywords: New design; Claw pole TFPM; discoid rotor; FEA; performance.
  
  
• Robust filtering for state and fault estimation of linear stochastic systems  
  by Gannouni Faten 
  Abstract: The problem of simultaneous robust fault and state estimation for linear discrete-time systems with bounded uncertainty is investigated in this paper. To solve this problem, a design approach to the robust proportional integral filter (RPIF) is developed. Based on the robust least-square estimation method, new robust filters (RPIF) guaranteeing an optimised upper bound for any allowed uncertainty is proposed to estimate both the unknown faults and the state. The unknown additive fault affects both the state and the output equations without any prior information about his dynamical evolution. . In this study, the global minimisation of the state error covariance matrix is converted into a convex optimisation problem subject to linear matrix inequality. The effectiveness of the proposed results is demonstrated through an illustrative example that gives a robust simultaneous fault and state estimation for linear uncertain systems.
  Keywords: uncertain discrete-time systems; parameter uncertainty; robust filtering; least-squares; convex optimisation.
  DOI: 10.1504/IJDSSS.2021.10053488