Publications

@article{Saidi20151817b,

title = {Bode shaping-based design methods of a fractional order PID controller for uncertain systems},

author = {B. Saidi and M. Amairi and S. Najar and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84929012313\&doi=10.1007%2fs11071-014-1698-1\&partnerID=40\&md5=b1525ff210f26882e3ddf803673c50e2},

doi = {10.1007/s11071-014-1698-1},

year  = {2015},

date = {2015-01-01},

journal = {Nonlinear Dynamics},

volume = {80},

number = {4},

pages = {1817 \textendash 1838},

abstract = {This paper deals with robust fractional order PID controller design via numerical optimization. Three new frequency-domain design methods are proposed. They achieve good robustness to the variation of some parameters by maintaining the open-loop phase quasi-constant in a pre-specified frequency band, i.e., maintaining the iso-damping property of the controlled system. The two first methods are extensions of the well-known Monje-Vinagre et al. method for uncertain systems. They ameliorate the numerical optimization algorithm by imposing the open-loop phase to be flat in a frequency band not only around a single frequency. The third method is an interval-based design approach that simplifies the algorithm by reducing the constraints number and offers a more large frequency band with an iso-damping property. Several numerical examples are presented to show the efficiency of each proposed method and discuss the obtained results. Also, an application to the liquid carbon monoxide level control is presented. © 2014, Springer Science+Business Media Dordrecht.},

note = {Cited by: 66},

keywords = {Algorithms, Carbon monoxide, Constrained optimization, Damping, Design, Electric control equipment, Fractional PID, Fractional-order PID controllers, Frequency bands, Frequency domain analysis, Frequency-domain design, Iso-damping property, Numerical methods, Numerical optimization algorithms, Numerical optimizations, Optimization, Proportional control systems, Robustness (control systems), Test benches, Three term control systems, Uncertain systems, Uncertainty},

pubstate = {published},

tppubtype = {article}

}

@article{BenHmed2015842b,

title = {Stability and resonance conditions of the non-commensurate elementary fractional transfer functions of the second kind},

author = {A. Ben Hmed and M. Amairi and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84916894266\&doi=10.1016%2fj.cnsns.2014.07.014\&partnerID=40\&md5=ba0f57ffe315daafa9f4cbffa794490f},

doi = {10.1016/j.cnsns.2014.07.014},

year  = {2015},

date = {2015-01-01},

journal = {Communications in Nonlinear Science and Numerical Simulation},

volume = {22},

number = {1-3},

pages = {842 \textendash 865},

abstract = {This paper deals with stability and resonance conditions of the non-commensurate elementary fractional transfer function of the second kind. This transfer function is a generalization of the elementary fractional transfer function of the second kind to an arbitrary order. It is written in the canonical form and characterized by a non-commensurate order, a pseudo-damping factor and a natural frequency. Stability and resonance analysis is done in terms of the pseudo-damping factor and the non-commensurate order. Also, an overall study of frequency-domain and time-domain performances of the considered system is done. Therefore many time-domain and frequency-domain curves are presented to help obtaining system parameters for a specified fractional order. Many illustrative examples show the efficiency of this study. Also, an application to the control of a spherical tank is also presented to show the usefulness of this study. © 2014 Elsevier B.V.},

note = {Cited by: 12},

keywords = {Convergence of numerical methods, Damping, Fractional order, Fractional systems, Frequency domain analysis, Frequency domain curves, Frequency domains, Functions of the second kind, Resonance, Resonance analysis, Resonance condition, Stability, Time domain, Transfer functions},

pubstate = {published},

tppubtype = {article}

}

@article{BenHmed2015842c,

title = {Stability and resonance conditions of the non-commensurate elementary fractional transfer functions of the second kind},

author = {A. Ben Hmed and M. Amairi and M. Aoun},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-84916894266\&doi=10.1016%2fj.cnsns.2014.07.014\&partnerID=40\&md5=ba0f57ffe315daafa9f4cbffa794490f},

doi = {10.1016/j.cnsns.2014.07.014},

year  = {2015},

date = {2015-01-01},

journal = {Communications in Nonlinear Science and Numerical Simulation},

volume = {22},

number = {1-3},

pages = {842 \textendash 865},

abstract = {This paper deals with stability and resonance conditions of the non-commensurate elementary fractional transfer function of the second kind. This transfer function is a generalization of the elementary fractional transfer function of the second kind to an arbitrary order. It is written in the canonical form and characterized by a non-commensurate order, a pseudo-damping factor and a natural frequency. Stability and resonance analysis is done in terms of the pseudo-damping factor and the non-commensurate order. Also, an overall study of frequency-domain and time-domain performances of the considered system is done. Therefore many time-domain and frequency-domain curves are presented to help obtaining system parameters for a specified fractional order. Many illustrative examples show the efficiency of this study. Also, an application to the control of a spherical tank is also presented to show the usefulness of this study. © 2014 Elsevier B.V.},

note = {Cited by: 12},

keywords = {Convergence of numerical methods, Damping, Fractional order, Fractional systems, Frequency domain analysis, Frequency domain curves, Frequency domains, Functions of the second kind, Resonance, Resonance analysis, Resonance condition, Stability, Time domain, Transfer functions},

pubstate = {published},

tppubtype = {article}

}