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Observer-Based Sequential Control of a Nonlinear Two-Time-Scale Spring-Mass-Damper System

机译：非线性二次尺度弹簧-质量阻尼器系统的基于观测器的顺序控制

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This paper extends the method of sequential control for two-time-scale systems from full-state feedback to output feedback. A two-time-scale observer based on the reduced slow and fast subsystems is developed to accompany the full-state feedback controller designed using the sequential method. Depending on whether one of the states or a combination of the two states is measured, different Lyapunov-based observer designs are investigated. Results in the paper demonstrate that Lyapunov-based design procedures for full-state feedback controllers can be extended to two-time-scale observers. The observer design uses lower-order reduced subsystems and does not require knowledge of the perturbation parameter. The observer dynamics are chosen such that the closed-loop stability of the reduced subsystems in the sense of Lyapunov is guaranteed. The observer-based technique is demonstrated on a nonlinear two-time-scale spring-mass-damper system.
机译：本文将两个时间尺度系统的顺序控制方法从全状态反馈扩展到输出反馈。开发了基于缩减的慢速和快速子系统的两尺度观测器，以配合使用顺序方法设计的全状态反馈控制器。根据是测量状态之一还是两种状态的组合，研究了基于Lyapunov的不同观察者设计。本文的结果表明，基于Lyapunov的全状态反馈控制器设计程序可以扩展到两个时间尺度的观察者。观察者设计使用低阶简化子系统，并且不需要了解扰动参数。选择观察者动力学，以便从Lyapunov的角度保证精简子系统的闭环稳定性。基于观察者的技术在非线性两级弹簧-质量-阻尼器系统上得到了证明。

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