IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Online ISSN : 1745-1337
Print ISSN : 0916-8508
Regular Section
Sliding Mode Controller Design with H Norm and Variance Constraints for Bilinear Stochastic Systems
Koan-Yuh CHANGHuan-Jung LINTsung-Lin CHENG
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2008 Volume E91.A Issue 2 Pages 686-691

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Abstract

Based on the concept of sliding mode control, this paper investigates the upper bound covariance assignment with H norm and variance constrained problem for bilinear stochastic systems. We find that the invariance property of sliding mode control ensures nullity of the matched bilinear term in the system on the sliding mode. Moreover, using the upper bound covariance control approach and combining the sliding phase and hitting phase of the system design, we will derive the control feedback gain matrix G, which is essential to the controller u(t) design, to achieve the performance requirements. Finally, a numerical example is given to illustrate the control effect of the proposed method.

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© 2008 The Institute of Electronics, Information and Communication Engineers
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