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  • 1
    Electronic Resource
    Electronic Resource
    Disturbance rejecting optimal regulation of hyperbolic systems (1995)
    Springer
    Mathematics of control, signals, and systems 8 (1995), S. 241-256 
    Details
    ISSN: 1435-568X
    Keywords: Robust control ; H ∞ control ; Disturbance rejection ; Hyperbolic systems ; Optimal control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Mathematics , Technology
    Notes: Abstract Optimal regulation of hyperbolic systems in the presence of unknown exogenous and initial disturbances is considered. Necessary conditions for determining the optimal control that tracks a desired trajectory in the presence of disturbances are developed. These necessary conditions have the form of a twopoint boundary-value problem along with certain equality and inequality conditions. The results also characterize the worst possible disturbances that are accommodated by the optimum controller without any serious performance degradation. Numerical results on the control of a vibrating beam are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01211861
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A Powerful Numerical Technique Solving Zakai Equation for Nonlinear Filtering (1997)
    Springer
    Dynamics and control 7 (1997), S. 293-308 
    Details
    ISSN: 1573-8450
    Keywords: nonlinear filtering ; Zakai equation ; Galekin approximation ; Gaussian series ; measurement residual
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract In this paper we have developed a simple but powerful numerical method forthe approximation of the unnormalized conditional (probability) density offiltered diffusion process which satisfies Zakai equation and solves thenonlinear filtering problem. Using Galerkin technique the solution of Zakaiequation is approximated by means of a sequence of nonstandard basisfunctions given by a parameterized family of Gaussian densities. The methodis then illustrated by some examples.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1008206719489
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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