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Mixed Method of Routh and ISE Criterion Approaches for Reduced-Order Modeling of Continuous-Time Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A mixed method using the advantages of Routh approximation method and integral-squared-error criterion is proposed for obtaining stable reduced-order models for high-order continuous-time systems. ...
Model Reduction Via Laguerre Polynomial Technique
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, a recursive algorithm is derived for computing the Laguerre spectra of a truncated Laguerre series which approximately represents the response of a system characterized by a ...
A Note on Matrix Chebyshev-Padé Approximations to Continuous State Modeling
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this note, a new method of using matrix Chebyshev-Padé approximations is presented for modeling continuous state from a discrete state equation. The method is illustrated with an example.
Order Reduction of Discrete-Time System Via Bilinear Routh Approximation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, a method of combining the Routh approximation method with the bilinear transformation is presented for deriving stable reduced-order models of a strictly proper z-transfer function ...
Stable Reduction of Linear Discrete-Time Systems Via a Multipoint Tangent Phase CFE
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents a procedure of linear discrete-time system reduction via a multipoint tangent phase continued-fraction expansion (CFE). The model reduction approach followed starts by transforming ...
Routh Approximations for Reducing Order of Discrete Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Routh approximation method is extended to the simplification of z-transfer functions. The procedure includes (1) transformation of the z-transfer function into the w-domain, (2) γ-δ expansion of ...
Approximation of Irrational Matrix Functions and Its Application to Continuous-Discrete Model Conversion
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, an improved method of rational approximation is presented for evaluating the irrational matrix function f(A ), where A is a square matrix and f(s) is a scalar irrational function ...
Parameter Estimation of Delay Systems Via Block Pulse Functions
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Linear time-invariant delay-differential equation systems are approximately represented by a set of linear algebraic equations with the block pulse functions. A least squares estimate is then used ...