Optimal control of a particular class of singularly perturbednonlinear discrete-time systems

Bouyekhf R.; El Hami A.; El Moudni A.

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Optimal control of a particular class of singularly perturbednonlinear discrete-time systems

机译：一类奇异摄动非线性离散时间系统的最优控制

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This note studies a class of discrete-time nonlinear systems which depend on a small parameter. Using the singular perturbation theory in a systematic way, we give a trajectory approximation result based on the decomposition of the model into reduced and boundary layer models. This decomposition is used to analyze optimal control via maximum principle of such systems. As a result, significant order reduction of optimal control problems is achieved

机译：本说明研究了一类依赖小参数的离散时间非线性系统。系统地使用奇异摄动理论，基于模型分解为简化和边界层模型，给出了轨迹近似结果。该分解用于通过此类系统的最大原理来分析最佳控制。结果，显着减少了最优控制问题的阶数

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《IEEE Transactions on Automatic Control》 |2001年第7期|p.1097-1101|共5页
作者
Bouyekhf R.; El Hami A.; El Moudni A.;
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正文语种 eng
中图分类自动化系统;
关键词
control system analysis; discrete time systems; maximum principle; nonlinear control systems; optimal control; singularly perturbed systems; boundary layer models; maximum principle; model decomposition; optimal control analysis; order reduction; reduced models; sin;

机译：控制系统分析;离散时间系统;最大原理;非线性控制系统;最优控制;奇摄动系统;边界层模型;最大原理;模型分解;最优控制分析;降阶;简化模型;正弦;

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1. Near-Optimal Controls of Discrete-Time Dynamic Systems Driven by Singularly-Perturbed Markov Chains [J] . G. Badowski, G. Yin, Q. Zhang Journal of Optimization Theory and Applications . 2003,第1期

机译：奇摄动马尔可夫链驱动的离散动态系统的近最优控制
2. Near-Optimal Controls of Discrete-Time Dynamic Systems Driven by Singularly-Perturbed Markov Chains [J] . G. Badowski, G. Yin, Q. Zhang Journal of Optimization Theory and Applications . 2003,第1期

机译：奇摄动马尔可夫链驱动的离散动态系统的近最优控制
3. Optimality Issues for a Class of Controlled Singularly Perturbed Stochastic Systems [J] . Goreac Dan, Serea Oana-Silvia Journal of Optimization Theory and Applications . 2016,第1期

机译：一类受控奇摄动随机系统的最优性问题
4. H/sub /spl infin//-optimal control of singularly perturbed discrete-time systems, and risk-sensitive control [C] . Naidu, D.S., Charalambous, . 1994

机译：H / sub / spl infin //-奇摄动离散时间系统的最优控制和风险敏感控制
5. H(infinity) control for singularly perturbed discrete-time systems. [D] . Dinh, Joseph Hach. 1996

机译：奇摄动离散时间系统的H（infinity）控制。
6. Design of an Optimal Preview Controller for Linear Discrete-Time Descriptor Noncausal Multirate Systems [O] . Mengjuan Cao, Fucheng Liao -1

机译：线性离散时间非因果多速率系统的最优预览控制器设计
7. Optimality Issues for a Class of Controlled Singularly Perturbed Stochastic Systems [O] . Goreac, Dan, Serea, Oana Silvia 2016

机译：一类受控奇摄动随机系统的最优性问题
8. The Time-Optimal Control of a Class of Non-Linear Singularly Perturbed Systems. [R] . Javid, S. H. 1976

机译：一类非线性奇异摄动系统的时间最优控制。

Optimal control of a particular class of singularly perturbednonlinear discrete-time systems

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