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 Gongyou1 & Gao 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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