Global output feedback stabilization control for non-strict feedback nonlinear systems

Abstract This paper studies global output feedback stabilization (OFS) control for non-strict feedback nonlinear systems with unknown functions (UFs). In order to deal with the UFs problem, a Lemma is proposed. This Lemma not only avoids the disadvantages of approximation methods, but also avoids the Assumptions of UFs. Therefore, the algorithm in the paper reduces the conservatism. Then, a control algorithm is proposed to solve the global OFS control problem of closed-loop systems. At the same time, the ”explosion of terms” problem of backstepping is also solved. Finally, the algorithm is applied to Duffing system and Chua’s oscillator system to verify the effectiveness of the algorithm.

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