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首页> 外文会议>ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2007 >OBSERVER DESIGN FOR NONLINEAR SYSTEMS WITH TIME PERIODIC COEFFICIENTS VIA NORMAL FORM THEORY
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OBSERVER DESIGN FOR NONLINEAR SYSTEMS WITH TIME PERIODIC COEFFICIENTS VIA NORMAL FORM THEORY

机译：时间周期系数的非线性系统的观测器设计

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摘要

For most complex dynamic systems, it is not possible to measure all system states in a direct fashion. Thus for dynamic characterization and controller design purposes, it is often necessary to design an observer in order to get an estimate of those states which cannot be measured directly. In this work, the problem of designing state observers for free systems with time periodic coefficients is addressed. For linear time-periodic systems, it is shown that the observer design problem is the duality of the controller design problem. The state observer is constructed using a symbolic controller design method developed earlier using the Chebyshev expansion technique. For the nonlinear time periodic systems, the observer design is investigated using the Poincare normal form technique. The local identity observer is designed by using a set of near identity coordinate transformations which can be constructed in the ascending order of nonlinearity. These observer design methods are implemented using a symbolic computational algorithm and several illustrative examples are given to show the effectiveness of the methods.
机译：对于大多数复杂的动态系统，不可能直接测量所有系统状态。因此，出于动态表征和控制器设计的目的，通常有必要设计一个观察器，以获取无法直接测量的那些状态的估计值。在这项工作中，解决了为具有时间周期系数的自由系统设计状态观测器的问题。对于线性时间周期系统，证明了观察者设计问题是控制器设计问题的二重性。状态观察器使用较早使用Chebyshev扩展技术开发的符号控制器设计方法构造。对于非线性时间周期系统，使用Poincare范式技术研究了观测器设计。本地身份观察者是通过使用一组近似身份坐标变换设计的，这些变换可以按照非线性的升序构造。这些观察者设计方法是使用符号计算算法实现的，并给出了几个说明性示例以显示该方法的有效性。

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