未知扰动下非严格反馈系统的自适应优化跟踪控制

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中图分类号：TP273 文献标志码：A DOI：10.12305/j.issn.1001-506X.2025.06.26

Abstract：Anadaptive backstepping-based optimized control strategy is proposed for non-strict feedback systems with unknown disturbances and unmeasurable states. Firstly，a composite observer is constructed， aiming to observe both theunknown states and disturbances of the system.Secondly，a non-quadratic cost functioncontaining the disturbance estimation is introduced ateach stepof the backstepping design，and all the virtual optimal controllers and the final actual optimal controlersare designed，which ensure the system stabilitywhile achieving control optimization.In thedesign process of the optimal backstepping method，only thesingle critic network is introduced，which simplifies the controler design process and reduces the complexity of thecontrol system structure.Finally，the stabilityof the closed-loop system is proved byLyapunov stability analysis and the effectiveness of the proposed method is verified by numerical simulation.

Keywords：unknown disturbance；unmeasurable state；optimized control；non-strict feedback system

0 引言

伴随着全球能源危机的加剧，最优控制受到了广泛关注[1-4]。（剩余13842字）