Finite horizon H/sub /spl infin// state-feedback control of continuous-time systems with state delays

Fridman E.; Shaked U.

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Finite horizon H/sub /spl infin// state-feedback control of continuous-time systems with state delays

机译：具有状态延迟的连续时间系统的有限水平H / sub / spl infin //状态反馈控制

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The finite horizon H/sub /spl infin// control of time-invariant linear systems with a finite number of point and distributed time delays is considered. The controller is obtained by solving coupled Riccati-type partial differential equations. The solutions to these equations and the resulting controllers are approximated by series expansions in powers of the largest delay. Unlike the infinite horizon case, these approximations possess both regular and boundary layer terms. The performance of the closed-loop system under a memoryless zero-approximation controller is analyzed.

机译：考虑具有有限数量的点和分布式时延的时不变线性系统的有限水平H / sub / spl infin //控制。通过求解耦合的Riccati型偏微分方程获得控制器。这些方程的解和所得的控制器通过最大延迟功率的级数展开来近似。与无限地平线的情况不同，这些近似值同时具有规则层和边界层项。分析了无记忆零逼近控制器下闭环系统的性能。

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《IEEE Transactions on Automatic Control》 |2000年第12期|P.2406-2411|共6页
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Fridman E.; Shaked U.;
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1. Delay-dependent robust /spl Hscr//sub /spl infin// and /spl Lscr//sub 2/-/spl Lscr//sub /spl infin// filtering for LPV systems with both discrete and distributed delays [J] . Wu L., Shi P., Wang C., IEE Proceedings. Part D, Control Theory and Applications . 2006,第4期

机译：依赖于延迟的鲁棒性/ spl Hscr // sub / spl infin //和/ spl Lscr // sub 2 /-/ spl Lscr // sub / spl infin //具有离散和分布式延迟的LPV系统滤波
2. Delay-dependent robust /spl Hscr//sub /spl infin// and /spl Lscr//sub 2/-/spl Lscr//sub /spl infin// filtering for LPV systems with both discrete and distributed delays [J] . Wu L., Shi P., Wang C., IEE Proceedings. Part D, Control Theory and Applications . 2006,第4期

机译：依赖于延迟的鲁棒性/ spl Hscr // sub / spl infin //和/ spl Lscr // sub 2 /-/ spl Lscr // sub / spl infin //具有离散和分布式延迟的LPV系统滤波
3. /spl Hscr//sub /spl infin// filtering for continuous-time linear systems with delay [J] . Pila A.W., Shaked U. IEEE Transactions on Automatic Control . 1999,第7期

机译：/ spl Hscr // sub / spl infin //用于延迟的连续时间线性系统的滤波
4. Robust H/sub /spl infin// control of singular continuous-time systems with delays and uncertainties [C] . Peng Shi, Boukas, El.-K. Decision and Control, 2000. Proceedings of the 39th IEEE Conference on . 2000

机译：具有延迟和不确定性的奇异连续时间系统的鲁棒H / sub / spl infin //控制
5. Finite-horizon optimal control of linear and a class of nonlinear systems. [D] . Zhao, Qiming. 2013

机译：线性和一类非线性系统的有限水平最优控制。
6. Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays [O] . Xuling Wang, Xiaodi Li, Gani Tr. Stamov -1

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7. Finite-Horizon Optimal State-Feedback Control of Nonlinear Stochastic Systems Based on a Minimum Principle [O] . Deisenroth, M., Ohtsuka T, Weissel F, Brunn, D., Hanebeck, U. 2006

机译：基于最小原理的非线性随机系统有限时域最优状态反馈控制
8. Cooperative Solutions in Multi-Person Quadratic Decision Problems: Finite-Horizon and State-Feedback Cost-Cumulant Control Paradigm [R] . Pham, K. D. 2007

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Finite horizon H/sub /spl infin// state-feedback control of continuous-time systems with state delays

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