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arXiv 2302.13705eess.SYcs.SY
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基于参数估计的扩展观测器用于具有多项式过参数化的线性系统

Parameter Estimation-Based Extended Observer for Linear Systems with Polynomial Overparameterization

Anton Glushchenko, Konstantin Lastochkin

AI总结:

针对受有界扰动的线性时不变过参数化系统,提出一种指数稳定的扩展自适应观测器,能重构物理状态、确保误差收敛、用代数方程估计状态并重构外部扰动。

摘要:

我们考虑一类受有界扰动影响的不确定线性时不变过参数化系统,这些系统由具有未知初始条件的已知外系统描述。针对此类系统,提出了一种指数稳定的扩展自适应观测器,与现有解决方案不同,该观测器同时具备以下特点:(i)允许重构以任意选择的状态空间形式表示的系统原始(物理)状态,而非观测器规范型的虚拟状态;(ii)在回归子有限激励的弱要求下,确保状态观测误差收敛至零;(iii)不包含Luenberger校正增益,并使用代数方程而非微分方程形成状态估计;(iv)额外重构未测量的外部扰动。所提出的解决方案基于新的参数化方法,通过异构映射和动态回归子扩展与混合过程来辨识观测器参数。仿真实验支持了所获得的理论结果。

英文摘要:

We consider a class of uncertain linear time-invariant overparametrized systems affected by bounded disturbances, which are described by a known exosystem with unknown initial conditions. For such systems an exponentially stable extended adaptive observer is proposed, which, unlike existing solutions, simultaneously: (i) allows one to reconstruct original (physical) states of the system represented in arbitrarily chosen state-space form rather than virtual states of the observer canonical form; (ii) ensures convergence of the state observation error to zero under weak requirement of the regressor finite excitation; (iii) does not include Luenberger correction gain and forms states estimate using algebraic rather than differential equation; (iv) additionally reconstructs the unmeasured external disturbance. The proposed solution is based on the new parametrizations to identify the observer parameters obtained with the help of the heterogeneous mappings and the dynamic regressor extension and mixing procedure. Illustrative simulations support obtained theoretical results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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