增长依赖于不可测状态非线性系统量化输出反馈控制设计

QUANTIZED OUTPUT FEEDBACK CONTROL DESIGN FOR NONLINEAR SYSTEMS WITH UNMEASURED STATES DEPENDENT GROWTH

研究了一类不确定非线性系统的量化输出反馈控制设计问题.不同于现有文献,所研究系统的非线性增长依赖于不可测状态.这使得现有文献中的观测器设计方法不再适用,且闭环系统性能分析更为复杂和困难.文章首先引入了一个新的高增益观测器,进而利用现有文献中的集值映射和迭代设计方法,构造了一个量化输出反馈控制器,最后利用循环小增益定理和动态量化策略,得到了保证闭环系统所有状态有界性且输出最终任意小的充分性条件.

This paper considers the quantized output feedback control design for a class of uncertain nonlinear systems. Different from the existing literature, the nonlinear growth of the systems under investigation depends on the unmeasured states, which makes the observer design in the existing literature inapplicable, and renders the performance analysis for the closed-loop system more complex and difficult. First, a new high-gain observer is introduced to reconstruct the unmeasured states. Then, by applying the set-valued maps and recursive control design method in the existing literature, a quantized output feedback controller is designed. Finally, by the cyclic-small-gain theorem and dynamic quantization strategy, a sufficient condition is given to guarantee that all states of the closed-loop system are bounded and that output can be ultimately arbitrarily small.