A Heuristic algorithm for robustly stable generalized disturbance observer synthesis with closed loop consideration.

Affiliation

Dept. of Automation, Shanghai Jiao Tong University, Shanghai, 200240, China. Electronic address: [Email]

Abstract

This paper investigate the problem of disturbance observer (DOB) based disturbance rejection control with closed loop performance guaranteed. A generalized DOB based control framework is presented. Specifically, the novel DOB framework if obtained by taking advantage of Youla factorization of a two degree-of-freedom controller in a nontraditional way. Closed loop analysis clarifies that generalized DOB inherits advantages of the traditional one, while mitigating its restrictions. Through appropriate reconfiguration, the Q-filter synthesizing is transformed into reduced-order controller designing. By taking advantage of the Kalman-Yakubovich-Popov (KYP) lemma and projection lemma, a two-stage heuristic algorithm is proposed: an initial full information controller is firstly established for the reconfigured system, which is used to heuristically obtain the reduced-order controller by alternately solving LMIs in the second stage. Finally, we illustrate the application of these results to minimum phase and non-minimum phase plants. Elaborated comparisons between the two-stage heuristic algorithm based generalized DOB and the state-of-art H∞ based DOB are conducted, the results verify the effectiveness and advantages.

Keywords

Generalized disturbance observer,Heuristic algorithm,Kalman–Yakubovich–Popov (KYP) lemma,Linear Matrix Inequality (LMI),Youla parametrization,

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