Optimal controller design for discrete saturating systems
作者:
FENG-HSIAG HSIAO,
期刊:
International Journal of Control
(Taylor Available online 1994)
卷期:
Volume 59,
issue 2
页码: 411-438
ISSN:0020-7179
年代: 1994
DOI:10.1080/00207179408923084
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A design procedure is proposed for synthesizing a linear-quadratic-Gaussian (LQG) optimal controller to obtain excess robustness optimization against noise spectral uncertainties, non-linear time-varying (NLTV) unmodelled dynamics in the discrete saturating systems. A robust stability criterion is derived for multivariable stochastic discrete-time systems with NLTV unmodelled dynamics and constrained actuators. An algorithm based on the robust stabilization criterion is presented for synthesizing a robust controller not only to minimize the least favourable cost functional J but also to maximize the excess robustness with respect to H∞-norm criterion by selecting two adequate weighting matrices Q(z) and R(z). We shall adopt the transfer function approach and two weighting matrices in the cost functional are shaped via the inverse LQG method to achieve excess robustness optimization.
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