Sliding mode controller design with H norm and variance constraints for bilinear stochastic systems

Koan Yuh Chang, Huan Jung Lin, Tsung Lin Cheng

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)686-691
Number of pages6
JournalIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Issue number2
Publication statusPublished - 2008 Jan 1

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics
  • Electrical and Electronic Engineering

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