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Sain, M. K.

Publications and source records attributed to Sain, M. K..

69 records · Page 4

On exosubsets and internal models

Consideration is given to the internal model principle for linear multivariable regulators. The paper examines the possibility of directly constructing a suitable exosubset of regulator states from elementary dynamical descriptions of plant, exosystem, and controller on the basis of quotient set representation of exosystem states. It is found that exosubset existence is a nontrivial question; the importance of product vs coproduct state descriptions for the regulator is emphasized.

Sain, M. K.↗

Frequency dependent precompensation for dominance in a four input/output theme problem model

This paper reports on additional experience in applying the CARDIAD methodology to design of dynamical input compensation to achieve column dominance for linear multivariable models of realistic turbine engine simulations. In particular, the approach has been extended to models having four inputs and four outputs, and successful compensations have been achieved with an investment of about thirty minutes desk time.

Schafer, R. M.↗

Essential right inverses and system zeros

A module-theoretic definition of right inverse systems for epic functions is presented to developing a theory for inverse systems. Examples are given which illustrate the basic conceptual issues of the approach. The theory provides a way to better understanding of multivariable zeros.

Wyman, B. F.↗

Alternatives for jet engine control

General goals of the research were classified into two categories. The first category involves the use of modern multivariable frequency domain methods for control of engine models in the neighborhood of a quiescent point. The second category involves the use of nonlinear modelling and optimization techniques for control of engine models over a more extensive part of the flight envelope. In the frequency domain category, works were published in the areas of low-interaction design, polynomial design, and multiple setpoint studies. A number of these ideas progressed to the point at which they are starting to attract practical interest. In the nonlinear category, advances were made both in engine modelling and in the details associated with software for determination of time optimal controls. Nonlinear models for a two spool turbofan engine were expanded and refined; and a promising new approach to automatic model generation was placed under study. A two time scale scheme was developed to do two-dimensional dynamic programming, and an outward spiral sweep technique has greatly speeded convergence times in time optimal calculations.

Leake, R. J.↗

Application of polynomial techniques to multivariable control of jet engines

This paper describes a complete case study of the application of the theory of minimal design to multivariable control of jet engines. The minimal-design problem is approached from the viewpoint of polynomial modules, and computational experience with PL/I and FORMAC-PL/I software is discussed. The complete minimal-design solution exhibits flexibilities not apparent in early industry studies, and a matrix approach to pole assignment can be used to advantage in this situation.

Gejji, R. R.↗

Frequency domain compensation of a DYNGEN turbofan engine model

Following Rosenbrock's ideas regarding the advantages of dominance in linear multivariable control systems, a new graphical technique is used for the design of compensators that achieve dominance. The technique is illustrated with an application to the problem of designing compensators for a linear turbofan-engine model. The resulting design is put into perspective by examining it in the light of two other multivariable frequency-domain methods. One, MacFarlane's method of characteristic loci, is used to realize a final design for stability and low interaction. The other is a direct technique based upon the algebraic expansion of the determinant of the return difference in terms of it's elements. Results from simulations carried out on the NASA DYNGEN software are included.

Schafer, R. M.↗

Alternatives for Jet Engine Control

Approaches are developed as alternatives to current design methods which rely heavily on linear quadratic and Riccati equation methods. The main alternatives are discussed in two broad categories, local multivariable frequency domain methods and global nonlinear optimal methods.

Leake, R. J.↗

Alternative methods for the design of jet engine control systems

Various alternatives to linear quadratic design methods for jet engine control systems are discussed. The main alternatives are classified into two broad categories: nonlinear global mathematical programming methods and linear local multivariable frequency domain methods. Specific studies within these categories include model reduction, the eigenvalue locus method, the inverse Nyquist method, polynomial design, dynamic programming, and conjugate gradient approaches.

Sain, M. K.↗

Interaction studies on a jet engine model by characteristic methodologies

It is shown how the generalized characteristic locus method developed by MacFarlane (1972) can be used for the step-by-step design of multivariable closed-loop compensators. The design procedure attempts to strike a balance between four conflicting objectives: stability, integrity, interaction, and accuracy. The generalized locus method is illustrated by a jet engine example.

Seshadri, V.↗

A jet engine control problem for evaluating minimal design software

The problem of designing feedforward and feedback compensators to achieve a specified closed loop performance matrix is shown to reduce to a minimal design problem. Existing results for the F100 turbofan engine can be interpreted to yield the closed loop specifications for the associated control problem - and also a possible solution. All possible solutions can be enumerated by computing the kernel of a polynomial matrix. It is shown how this matrix can be obtained from the formulation of the minimal design problem.

Gejji, R. R.↗