Method for the control of a special class of non-linear systems

Janabi, T.; Gray, J.O.

doi:10.1080/00207179108934157

Cited by 5 publications

(4 citation statements)

References 9 publications

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“…In addition to the design specifications in (13), if there are constraints on the design parameter p (or permissible ranges of p), they can be incorporated into the set of design inequalities (13) very easily. This still results in the inequalities of the form (2).…”

Section: Fig 4 a Unity Feedback Control Systemmentioning

confidence: 99%

“…Throughout this work, the design inequalities (13) or (2) are solved by using a numerical search algorithm called the moving boundaries process (MBP) [5] . For the efficiency in the design process, tasks such as the H(ρ)-stability test, the computation of α(p) and the step responses are implemented in Fortran programming language.…”

Section: Fig 4 a Unity Feedback Control Systemmentioning

confidence: 99%

“…To avoid the control saturation during the operation of the system, the design requirement φ4 C4 in (13) needs to be taken into design consideration. This fundamental requirement makes the design problem become difficult to solve even for SISO systems.…”

Section: Fig 4 a Unity Feedback Control Systemmentioning

confidence: 99%

“…The method facilitates a realistic formulation of the design problem by allowing the designer to express the constraints and the performance specifications directly in terms of inequalities, whereas all tedious computations are carried out by efficient numerical algorithms. The method has been successfully applied to many difficult design problems (see, for example, [9][10][11][12][13][14]) and also many references cited in [8]). So far, no one has Manuscript received August 17, 2008; revised October 21, 2008.…”

Section: Introductionmentioning

confidence: 99%

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Design of retarded fractional delay differential systems using the method of inequalities

Arunsawatwong

Nguyen

2009

Int. J. Autom. Comput.

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Methods based on numerical optimization are useful and effective in the design of control systems. This paper describes the design of retarded fractional delay differential systems (RFDDSs) by the method of inequalities, in which the design problem is formulated so that it is suitable for solution by numerical methods. Zakian s original formulation, which was first proposed in connection with rational systems, is extended to the case of RFDDSs. In making the use of this formulation possible for RFDDSs, the associated stability problems are resolved by using the stability test and the numerical algorithm for computing the abscissa of stability recently developed by the authors. During the design process, the time responses are obtained by a known method for the numerical inversion of Laplace transforms. Two numerical examples are given, where fractional controllers are designed for a time-delay and a heat-conduction plants.

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Section: Fig 4 a Unity Feedback Control Systemmentioning

confidence: 99%

Section: Fig 4 a Unity Feedback Control Systemmentioning

confidence: 99%

Section: Fig 4 a Unity Feedback Control Systemmentioning

confidence: 99%