Extending nonlinear ℋ, ℋ optimisation to and spaces – part II: optimal estimation and ouput-feedback control

M.D.S. Aliyu and E.K. Boukas

International Journal of Systems Science, 2011, vol. 42, issue 5, 907-920

Abstract: In this article, we introduce, formulate and solve the W1,2 and W1,∞ estimation problems. We propose proportional, proportional-derivative and proportional-integral (PI) filters for each problem, and we derive sufficient conditions for the existence of optimal filter gains in terms of new Hamilton–Jacobi–Bellman and Hamilton–Jacobi–Isaacs equations. The output-feedback W1,2 and W1,∞ control problems are also re-solved using the separation principle. We show that, by combining an optimal estimator with state-feedback control, a viable optimal output-feedback controller can be synthesised.

Date: 2011
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DOI: 10.1080/00207721.2010.488765

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