论文标题
部分国家反馈多变量MRAC和减少订单设计
Partial-State Feedback Multivariable MRAC and Reduced-Order Designs
论文作者
论文摘要
本文使用部分状态反馈来开发一个新的模型参考自适应控制（MRAC）框架，以解决多变量自适应输出跟踪问题。开发的MRAC方案具有处理植物不确定性以进行输出跟踪的能力，并希望灵活地结合全州反馈MRAC和输出反馈MRAC的优势。通过这样的新控制方案，与输出或状态反馈MRAC设计一样，植物模型匹配条件是可以实现的。稳定的自适应控制方案是根据植物高频增益矩阵的LDS分解而开发的，该基质保证了闭环稳定性和渐近输出跟踪。拟议中的部分国家反馈MRAC计划不仅扩大了现有的MRAC家族，而且还为自适应控制系统提供了新功能，包括其他设计灵活性和反馈能力。根据其额外的设计灵活性，与现有的MRAC方案相比，还提出了最小的MRAC方案，从而降低了控制适应复杂性并放松反馈信息的要求。提出了用于植物模型匹配，错误模型，自适应定律和稳定性分析的新结果。进行了线性化飞机模型的仿真研究，以证明拟议的MRAC控制方案的有效性和新特征。
This paper develops a new model reference adaptive control (MRAC) framework using partial-state feedback for solving a multivariable adaptive output tracking problem. The developed MRAC scheme has full capability to deal with plant uncertainties for output tracking and has desired flexibility to combine the advantages of full-state feedback MRAC and output feedback MRAC. With such a new control scheme, the plant-model matching condition is achievable as with an output or state feedback MRAC design. A stable adaptive control scheme is developed based on LDS decomposition of the plant high-frequency gain matrix, which guarantees closed-loop stability and asymptotic output tracking. The proposed partial-state feedback MRAC scheme not only expands the existing family of MRAC, but also provides new features to the adaptive control system, including additional design flexibility and feedback capacity. Based on its additional design flexibility, a minimal-order MRAC scheme is also presented, which reduces the control adaptation complexity and relaxes the feedback information requirement, compared to the existing MRAC schemes. New results are presented for plant-model matching, error model, adaptive law and stability analysis. A simulation study of a linearized aircraft model is conducted to demonstrate the effectiveness and new features of the proposed MRAC control scheme.
