Browsing by Author "Pearson, J.B."

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    Frequency Domain Synthesis of Multivariable Linear Regulators
    (1977-04-20) Cheng, Lin-Fu; Pearson, J.B.
    This paper considers a general class of multivariable linear regulators and determines conditions under which there exist proper controllers such that output regulation is achieved with internal stability.
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    Robust Solution of the Linear Servomechanism Problem
    (1974-09-01) Staats, P.W.; Pearson, J.B.
    This paper furnishes a complete solution to the problem of designing robust controllers for linear servomechanisms. The results complete the work begun in [1] in that arbirary exogenous signals are included in the problem formulation. Only constant exogenous signals were considered in [1]. ([1] "Robust solutions to linear multivariable control problems", J.B. Pearson, R.W. Shields, and P.W. Staats, Jr., Proceedings: 1974 Joint Automatic Control Conference, University of Texas, June 18-21, 1974, pp. 172-176, to appear IEEE Trans. A-C., Oct 1974.
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    Stabilization and Regulation in Linear Multivariable Systems
    (1978-01-20) Antsaklis, P.J.; Pearson, J.B.
    This report presents a generalization of some recent results of Cheng and Pearson[1]. It is shown that the conditions obtained under certain assumptions in [1] are valid under more general assumptions. We therefore obtain the solution to a more general linear multivariable regulator problem than that previously solved by Wonham and Pearson [2].
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    Structural Controllability of Multi-Input Linear Systems
    (1975-05-20) Shields, R.W.; Pearson, J.B.
    This paper extends the results of Lin on structural controllability of single-input linear systems to multi-input linear systems. An interesting by-product of this extension is an applicaiton of "generic analysis" to the determination of the rank of a structured matrix. The algorithm for computing "generic" rank is applicable to various problems other than the controllability problem studied here.
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    Synthesis of Linear Multivariable Regulators
    (1980-02-01) Cheng, Lin-Fu; Pearson, J.B.
    This paper generalizes the results obtained by the authors in [1] and presents new results on the construction of proper controllers for linear multivariable regulators. These results appear to lead to efficient computational methods that do not involve Smith forms nor the order relations used in [1] to construct proper controllers. The methods are based on the recently developed theory of Λ-generalized polynomials [2]. We discuss several new computational algorithms and how they can be applied to the regulator problem.