Rational approximation of L/sub 1/ optimal controllers for SISO systems

Ohta Y.; Maeda H.

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Rational approximation of L/sub 1/ optimal controllers for SISO systems

机译：SISO系统的L / sub 1 /最优控制器的有理逼近

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The L/sub 1/ optimal control problem with rational controllers for continuous-time systems is considered in which it is shown that the optimal L/sub 1/ performance index with rational controllers is equal to that of irrational controllers. A sequence of rational controllers that approximates the optimal index is constructed. Convergence properties of such a sequence are studied. That the corresponding sequence of objective transfer functions is shown to converge in weak-* topology in BV(R/sub +/) in the time domain and uniformly in a wider sense in the frequency domain.

机译：考虑了具有连续时间系统的有理控制器的L / sub 1 /最优控制问题，证明了有理控制器的最优L / sub 1 /性能指标等于无理控制器的最优指标。构造了一个逼近最优指标的有理控制器序列。研究了这种序列的收敛性。目标传递函数的相应序列显示为在时域中以BV（R / sub + /）的弱*拓扑收敛，而在频域中以更广泛的意义均匀收敛。

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《IEEE Transactions on Automatic Control》 |1992年第11期|P.1683-1691|共9页
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Ohta Y.; Maeda H.;
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1. Rational L/sub /spl infin//-suboptimal controllers for SISO continuous-time systems [J] . Zi-Qin Wang, Sznaier M. IEEE Transactions on Automatic Control . 1996,第9期

机译：适用于SISO连续时间系统的Rational L / sub / spl infin //-次优控制器
2. Coprime-inner/outer factorization of SISO time-delay systems and FIR structure of their optimal H-infinity controllers [J] . Gumussoy S. International Journal of Robust and Nonlinear Control . 2012,第9期

机译：SISO时滞系统的内部/外部互质分解及其最优H-∞控制器的FIR结构
3. Comments on “Mixed L∞/H∞suboptimal controllers for SISO continuous time systems” [J] . Bernhardsson B., Panagopoulos H. IEEE Transactions on Automatic Control . 1998,第9期

机译：关于“ SISO连续时间系统的混合L∞/H∞次优控制器”的评论
4. Rational approximation of L/sub 1/ optimal controller for SISO systems [C] . Ohta, Y., Maeda, . 1991

机译：SISO系统的L / sub 1 /最优控制器的有理逼近
5. Reduced-order robust adaptive controller design and convergence analysis for uncertain SISO linear systems with noisy output measurements . [D] . Zhao, Qingrong. 2007

机译：具有噪声输出测量的不确定SISO线性系统的降阶鲁棒自适应控制器设计和收敛分析。
6. Generalized Vibrational Perturbation Theory for Rotovibrational Energies of Linear Symmetric and Asymmetric Tops: Theory Approximations and Automated Approaches to Deal with Medium-to-Large Molecular Systems [O] . Matteo Piccardo, Julien Bloino, Vincenzo Barone -1

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7. Generalized Design of Mixed H-infinity/Deadbeat Suboptimal Controllers for SISO Continuous-Time Servo Systems [O] . Satoru Tanaka, Katsuhisa Furuta 2007

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Rational approximation of L/sub 1/ optimal controllers for SISO systems

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