Browsing by Author "Cheng, Lin-Fu"

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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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    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.
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    The general linear multivariable regulator problem
    (1975) Cheng, Lin-Fu; Pearson, J. B.
    This thesis considers the problem of zeroing the output z(t) of a general linear, fixed-parameter, multivariable system as described by x(t) * Ax(t) + Bu(t) z(t) = C,jx(t) + D?X> and(3) any controllable, observable mode of the closed-loop system is stabilized. Vector space manipulations are adopted throughout the thesis. First, an algebraic formulation corresponding to (1) is derived and the problem in its most primitive form is solved. Since output (y(t)) feedback is assumed to be the realization of state feedback, (2) is shown to be equivalent to the observability constraint. TL is the unobservability subspace and is invariant under A. Finally, (3) is considered to take care of internal stability. Solution to the general problem is then presented. The results are illustrated by regulation in the presence of certain type of disturbances.