Design of Fractional PI Controllers for a Binary Distillation Column with Disturbances Restricted in Magnitude and Slope

2013 10th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technolo

2013

Self Cite

The paper presents the design of a robust controller for a hydraulic force control system using Zakian's majorants, in which a two-degree-of-freedom configuration is used. The design objective is to ensure that the error and the control signals always stays within prescribed bounds in the presence of all inputs having bounded magnitude and bounded slope. The design problem is formulated so that all possible inputs are explicitly taken into account. Accordingly, the design objective is expressed as a set of inequalities that can be solved in practice. A numerical example with two parameter uncertainties is carried out.

show abstract

Section: Calculating a Peak Output For The Set ∞mentioning

confidence: 98%

Application of Zakian's majorants to robust controller design for hydraulic force control systems

2013 10th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technolo

2013

Self Cite

show abstract

“…Following previous work [69,1214], it is readily appreciated that satisfactory computational methods are available for obtaining solutions of the inequalities (3) and (4) for various models of the possible set P i when every element of the plant transfer matrix G(s) is a rational function. Furthermore, for non-rational systems that are described by retarded delay dierential equations and retarded fractional delay dierential equations, the inequalities (3) and ( 4) can be solved by means of the computational tools presented in [1517]; also see [18] for a design example. However, the numerical solution of the inequalities (3) and ( 4) for general non-rational systems is still an open research problem.…”

mentioning

confidence: 99%

Criterion of Approximation for Designing 2 × 2 Feedback Systems with Inputs Satisfying Bounding Conditions

2014

ECTI-EEC

Self Cite

A common practice in designing a feedback system with a non-rational transfer matrix is to replace the non-rational matrix with an appropriate rational approximant during the design process so that reliable and effcient computational tools for rational systems can be utilized. Consequently, a criterion of approximation is required to ensure that the controller obtained from the approximant still provides satisfactory results for the original system. This paper derives such a criterion for the case of two-input two-output feedback systems in which the design objective is to ensure that the errors and the controller outputs always stay within prescribed bounds whenever the inputs satisfy certain bounding conditions. For a given rational approximant matrix, the criterion is expressed as a set of inequalities that can be solved in practice. It will be seen that the criterion generalizes a known result for single-input single-output systems. Finally, a controller for a binary distillation column is designed by using the criterion in conjunction with the method of inequalities.

show abstract

Criterion of approximation for designing 2×2 feedback systems with inputs satisfying bounding conditions

2014 11th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technolo

2014