Journal of Systems Engineering and Electronics ›› 2006, Vol. 17 ›› Issue (4): 824-828.doi: 10.1016/S1004-4132(07)60023-1

• CONTROL THEORY AND APPLICATION • Previous Articles     Next Articles

Optimal deterministic disturbances rejection for singularly perturbed linear systems

Zhang Baolin1,2, Tang GongyouGao Dexin3
  

  1. 1. Coll. of Information Science and Engineering, Ocean Univ. of China, Qingdao 266071, RR. China;
    2. Dept. of Information and Mathematics Sciences, Jiliang Univ, Hangzhou 310018, RR. China;
    3. Coll. of Automation and Electronic Engineering, Qingdao Univ. of Science and Technology, Qingdao 266042, RR. China.
  • Online:2006-12-25 Published:2019-12-20

Abstract:

Optimal deterministic disturbances rejection control problem for singularly perturbed linear systems is considered. By using the slow-fast decomposition theory of singular perturbation, the existent and unique conditions of the feedforward and feedback composite control (FFCC) laws for both infinite-time and finite-time are proposed, and the design approaches are given. A disturbance observer is introduced to make the FFCC laws realizable physically. Simulation results indicate that the FFCC laws are robust with respect to external disturbances.

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