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Stochastic Distribution Control of Singular Systems: Output PDF Shaping 被引量:1

Stochastic Distribution Control of Singular Systems: Output PDF Shaping
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摘要 This paper presents a new algorithm designed to control the shape of the output probability density function (PDF) of singular systems subjected to non-Gaussian input. The aim is to select a control input uk such that the output PDF is made as close as possible to a given PDF.Based on the B-spline neural network approximation of the output PDF, the control algorithm is formulated by extending the developed PDF control strategies of non-singular systems to singular systems. It has been shown that under certain conditions the stability of the closed-loop system can be guaranteed. Simulation examples are given to show the effectiveness of the proposed control algorithm. This paper presents a new algorithm designed to control the shape of the output probability density function (PDF) of singular systems subjected to non-Gaussian input. The aim is to select a control input uk such that the output PDF is made as close as possible to a given PDF. Based on the B-spline neural network approximation of the output PDF, the control algorithm is formulated by extending the developed PDF control strategies of non-singular systems to singular systems. It has been shown that under certain conditions the stability of the closed-loop system can be guaranteed. Simulation examples are given to show the effectiveness of the proposed control algorithm.
出处 《自动化学报》 EI CSCD 北大核心 2005年第1期151-160,共10页 Acta Automatica Sinica
基金 Supported by the Research Fund of Chinese Academy of Sciences (2004-1-4)
关键词 随机分布控制 单系统 PDF显示输出 动态随机系统 概率密度函数 Singular systems, dynamic stochastic systems, probability density function (PDF), B-splines neural networks
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  • 1Zhang Q, Liu W, Hill D. A Lyapunov approach to analysis of discrete singular systems, In: Proceedings 40th IEEE Conference Decision and Control, Orlando, FL, USA, 2001:2844-2849.
  • 2Xu S, Lam J, Zhang L. Robust D-stability analysis for uncertain discrete singular systems with state delay,IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2002, 49(4): 551-555.
  • 3Xu S, Van Dooren P, Stefan R, Lam J. Robust stability and stabilization for singular systems with state delav and parameter uncertainty, IEEE Transactions on Automatic Control, 2002, 47(7): 1122-1128.
  • 4Wang H, Daley S. Identification and adaptive control for SISO singular systems, International J. Systems Science, 1993, 2(4): 1791-1801.
  • 5Liu W, Sreeram V. Model reduction of singular systems, In: Proceedings 39th IEEE Conference Decision and Control, Sydney, Australia, 2000:2373-2378.
  • 6Zhang Q, Sreeram V, Wang G, Liu W. H∞ suboptimal model reduction for singular systems, In: Proceedings American Control Conference, Anchorage, Alaska, USA, 2002:1168-1173.
  • 7Shayman M, Zhou Z, Feedback control and classification of generalized linear systems, IEEE Transactions on Automatic Control, 1987, 32(6): 483-494.
  • 8Xu S, Yang C. H∞ state feedback control for discrete singular systems, IEEE Transactions on Automatic Control. 2000. 45(7): 1405-1409.
  • 9Liu X. Solvability of nonlinear singular systems. I. The case without inputs, In: Proceedings American Control Conference, Seatle, Washington, USA, 1995:2262-2266.
  • 10Liu X. Solvability of nonlinear singular systems. Ⅱ. The case with inputs, In: Proceedings American Control Conference, Seatle, Washington, USA, 1995:2257-2261.

同被引文献12

  • 1Guo L, Zhao K Y, Feng C B. Proper Output Feedback H∞ Control for Descriptor Systems: A Convex Optimization Approach [C] // Advances in Natural Computation. Berlin, Heidelberg: Springer, 2005: 698- 702.
  • 2Dai L. Filtering and LQG Problems for Discrete-Time Stochastic Singular Systems [J]. IEEE Trans Automatic Control, 1989, 34(10): 1105-1108.
  • 3Nikoukhah R, Campbell S L, Delebecque F. Kalman Filtering for General Discrete-Time Linear Systems [J]. IEEE Trans Automatic Control, 1999, 44(10) : 1829 - 1839.
  • 4Wang H S, Yung C F, Chang F R. Bounded Real Lemma and H∞ Control for Descriptor Systems [J]. IEE Proceedings- Control Theory and Applications, 1998, 145(3): 316- 322.
  • 5Rehm A, Allgower F. H∞ Control for Descriptor Systems with High Index [C]// IFAC. Proc 14th IFAC World Congress. Laxenburg: IFCA, 1999:31-36.
  • 6Uezato E, Ikeda M. Strict LMI Conditions for Stability, Robust Stabilization, and H∞ Control of Descriptor Systems [J]. Decision and Control, Proceedings of the 38th IEEE Conference on, 1999, 4:4092 -4097.
  • 7Masubuchi I, Kamitane Y, Ohara A, et al. H∞ Control for Descriptor Systems: a Matrix Inequalities Approach[J]. Automatica, 1997, 33(4) : 669 - 673.
  • 8Xu S, Lam J. Robust Control and Filtering of Singular Systems [M]. Berlin: Springer-Verlag, 2006.
  • 9Wang H. Bounded Dynamic Stochastic Systems Modelling and Control [M]. London: Springer-Verlag, 2000.
  • 10Guo L, Wang H. Applying Constrained Nonlinear Generalized PI Strategy to PDF Tracking Control Through Square Root B-spline Models [J]. INT J CONTROL, 2004, 77(17): 1481 - 1492.

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