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《Progress in Natural Science》 2008年02期
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Approximately optimal tracking control for discrete time-delay systems with disturbances

【摘要】:Optimal tracking control (OTC) for discrete time-delay systems affected by persistent disturbances with quadratic performance index is considered. By introducing a sensitivity parameter,the original OTC problem is transformed into a series of two-point boundary value (TPBV) problems without time-advance or time-delay terms. The obtained OTC law consists of analytic feedforward and feedback terms and a compensation term which is the sum of an infinite series of adjoint vectors. The analytic feedforward and feedback terms can be found by solving a Riccati matrix equation and two Stein matrix equations. The compensation term can be obtained by using an iteration formula of the adjoint vectors. Observers are constructed to make the approximate OTC law physically realizable. A simulation example shows that the approximate approach is effective in tracking the reference input and robust with respect to exogenous persistent disturbances.
【分类号】:O231

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【共引文献】
中国博士学位论文全文数据库 前2条
1 胡乃平;时滞系统鲁棒最优控制的研究[D];中国海洋大学;2007年
2 孙慧影;受扰离散时滞及非线性系统的近似最优控制研究[D];中国海洋大学;2007年
【同被引文献】
中国期刊全文数据库 前1条
1 唐功友,高德欣;带有持续扰动非线性系统的前馈-反馈最优控制[J];控制与决策;2005年04期
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