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首页> 外文期刊>IEEE Transactions on Automatic Control >Parameter identification for uncertain linear systems with partialstate measurements under an H∞ criterion
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Parameter identification for uncertain linear systems with partialstate measurements under an H∞ criterion

机译：H∞准则下具有部分状态测量的不确定线性系统的参数辨识

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This paper addresses the worst-case parameter identification problem for uncertain single-input/single-output (SISO) and multi-input/multi-output (MIMO) linear systems under partial state measurements and derives worst-case identifiers using the cost-to-come function method. In the SISO case, the worst-case identifier obtained subsumes the Kreisselmeier observer as part of its structure with parameters set at some optimal values. Its structure is different from the common least-squares (LS) identifier, however, in the sense that there is additional dynamics for the state estimate, coupled with the dynamics of the parameter estimate in a nontrivial way. In the MIMO case as well, the worst-case identifier has additional dynamics for the state estimate which do not appear in the conventional LS-based schemes. Also for both SISO and MIMO problems, approximate identifiers are obtained which are numerically much better conditioned when the disturbances in the measurement equations are “small”. The theoretical results are then illustrated on an extensive numerical example to demonstrate the effectiveness of the identification schemes developed
机译：本文针对部分状态测量下不确定的单输入/单输出（SISO）和多输入/多输出（MIMO）线性系统的最坏情况参数识别问题，并使用代价成本得出最坏情况标识符。 -come函数方法。在SISO情况下，获得的最坏情况标识符将Kreisselmeier观测器作为其结构的一部分包含，并将参数设置为某些最佳值。但是，它的结构与通用最小二乘（LS）标识符不同，从某种意义上说，状态估计还有其他动态，以非平凡的方式结合了参数估计的动态。同样在MIMO情况下，最坏情况标识符具有用于状态估计的附加动态，这在常规的基于LS的方案中没有出现。同样对于SISO和MIMO问题，都可以获得近似标识符，当测量方程中的干扰为“小”时，近似标识符的数值条件会更好。然后在一个广泛的数值示例中说明了理论结果，以证明开发的识别方案的有效性

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