不匹配受扰非线性系统的主动抗干扰控制研究

Mismatched disturbances widely exist in various industrial systems, the control performance of which is severely affected by such mismatched disturbances. Active anti-disturbance control is very popular in the field of control theory and engineering due to its many advantages in disturbance attenuation. However, the existing active anti-disturbance control is mainly limited to deal with the matched disturbances. Research on active anti-disturbance rejection control for systems subject to mismatched disturbances is still on its initial stage, and the deep research on such topic has great theoretical and practical significance. With careful consideration and analysis, we find that the development of active anti-disturbance control for systems with mismatched disturbances has the following major technique bottlenecks: (1) the requirement on the type of the controlled system is very strict; (2) the requirement on the type of disturbances is quite limited; and (3) the convergence rate is not fast. To handle these technique bottlenecks, this project mainly focuses on the research of the following three topics: (1) the active anti-disturbance control problem for multi-input multi-output nonlinear systems with arbitrary disturbance relative degrees is researched; (2) the active anti-disturbance control method for system subject to mismatched disturbances with complex structure is explored; (3) the finite-time active anti-disturbance control strategy for nonlinear systems subject to mismatched disturbances is proposed. The research tasks of this project will largely broaden the scope of applications of active anti-disturbance control, and provide effective theory and methods for high-precision disturbance rejection control of systems under mismatched disturbances.

不匹配干扰广泛存在于各类工业系统，并对系统的控制性能产生恶劣影响。主动抗干扰控制因其在抗干扰性能方面的诸多优势而备受控制理论和工程界的青睐。然而已有的主动抗干扰控制多局限于对匹配干扰的处理，不匹配受扰系统的主动抗干扰控制研究仍处于起步阶段，对该问题的深入研究具有重要的理论和实际意义。经过长时间的思考和分析，我们发现不匹配受扰非线性系统主动抗干扰控制领域存在如下主要技术瓶颈：（1）对被控系统类型的要求过于严格；（2）对干扰类型的要求过于苛刻；（3）收敛速度不够快。针对这些技术瓶颈，本项目着重研究如下三方面课题：（1）研究任意干扰相对阶多变量非线性系统的主动抗干扰控制问题；（2）探索复杂结构不匹配干扰系统的主动抗干扰控制方法；（3）提出不匹配受扰非线性系统的有限时间主动抗干扰控制策略。该项目研究将拓宽主动抗干扰控制的适用范围，为复杂不匹配受扰系统的高精度抗干扰控制提供了切实有效的理论和方法。

不匹配干扰广泛存在于各类工业系统，并对系统的控制性能产生恶劣影响。主动抗干扰控制因其在抗干扰性能方面的诸多优势而备受控制理论和工程界的青睐。然而已有的主动抗干扰控制多局限于对匹配干扰的处理，不匹配受扰系统的主动抗干扰控制研究仍处于起步阶段，对该问题的深入研究具有重要的理论和实际意义。经过长时间的思考和分析，我们发现不匹配受扰非线性系统主动抗干扰控制领域存在如下主要技术瓶颈：（1）对被控系统类型的要求过于严格；（2）对干扰类型的要求过于苛刻；（3）收敛速度不够快。针对这些技术瓶颈，本项目着重研究如下三方面课题：（1）研究任意干扰相对阶多变量非线性系统的主动抗干扰控制问题；（2）探索复杂结构不匹配干扰系统的主动抗干扰控制方法；（3）提出不匹配受扰非线性系统的有限时间主动抗干扰控制策略。该项目研究将拓宽主动抗干扰控制的适用范围，为复杂不匹配受扰系统的高精度抗干扰控制提供了切实有效的理论和方法。