Institute for Systems Research

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Author: search.filters.author.Krishnaprasad, Perinkulam S.Subject: search.filters.subject.distributed parameter systems

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    Analysis of a complex activator-inhibitor equation
    (1999) Justh, Eric W.; Krishnaprasad, Perinkulam S.; ISR; CDCSS
    Basic properties of solutions and a Lyapunov functionalare presented for a complex activator-inhibitor equation witha cubic nonlinearity.Potential applications include control of coupled-oscillator arrays(for quasi-optical power combining and phased-array antennas),and control of MEMS actuator arrays (for micro-positioning small items).

    (This work to appear in Proc. 1999 American Control Conference.)

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    Efficient Implementation of Controllers for Large Scale Linear Systems via Wavelet Packet Transforms
    (1998) Kantor, George A.; Krishnaprasad, Perinkulam S.; ISR; CDCSS
    In this paper we present a method of efficiently implementing controllers for linear systems with large numbers of sensors and actuators. It is well known that singular value decomposition can be used to diagonalize any real matrix. Here, we use orthogonal transforms from the wavelet packet to "approximate" SVD of the plant matrix. This yields alternatebases for the input and output vector which allow for feedback control using local information. This fact allows for the efficient computation of a feedback control law in the alternate bases. Since the wavelet packet transforms are also computationally efficient,this method provides a good alternative to direct implementation of a controller matrix for large systems.

    This paper was presented at the 32nd CISS, March 18-21, 1998.

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    A Lyapunov Functional for the Cubic Nonlinearity Activator-Inhibitor Model Equation
    (1998) Justh, Eric W.; Krishnaprasad, Perinkulam S.; ISR; CDCSS
    The cubic nonlinearity activator-inhibitor model equation is a simpleexample of a pattern-forming system for which strong mathematical resultscan be obtained. Basic properties of solutions and the derivation ofa Lyapunov functional for the cubic nonlinearity model are presented.Potential applications include control of large MEMS actuator arrays.(In Proc. IEEE Conf. Decision and Control, December 16-18, 1998)
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    Modeling of Impact on a Flexible Beam
    (1993) Wei, Q.F.; Krishnaprasad, Perinkulam S.; Dayawansa, Wijesuriya P.; ISR
    We consider the problem of modeling dynamical effects of impact of an elastic body on a flexible beam. We derive a nonlinear integral equation by using the Hertz law of impact in conjunction with the beam equation. This equation does not admit a closed form solution. We demonstrate the existence of solutions, derive a reliable numerical method for computing solutions, and compare the numerical results with those obtained by others.