H2 norm checking for systems with parameteruncertainties

Zhiyong Geng; Lin Huang

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H2 norm checking for systems with parameteruncertainties

机译：H2规范检查具有参数不确定性的系统

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This paper studies the problem of H2 norm checking for a MIMO system with parameter uncertainties. Under the assumptions that the coefficients of the numerator polynomial of the system's transfer function are multi-affine functions of the uncertain parameter that varies in a convex polytope, and that the coefficients of the denominator polynomial of the system's transfer function are affine functions of the uncertain parameter which varies in a convex polytope, a vertex checking result is obtained

机译：本文研究了具有参数不确定性的MIMO系统的H2范数检查问题。假设系统传递函数的分子多项式的系数是不确定参数的多仿射函数，该参数在凸多边形中变化，并且系统传递函数的分母多项式的系数是不确定性的仿射函数凸多面体中变化的参数，获得顶点检查结果

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《IEEE Transactions on Automatic Control》 |2000年第8期|p.1519-1522|共4页
作者
Zhiyong Geng; Lin Huang;
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正文语种 eng
中图分类自动化系统;
关键词
H∞ control; MIMO systems; control system synthesis; multivariable control systems; polynomials; uncertain systems; H2 norm checking; MIMO system; control system design; convex polytope; denominator polynomial coefficients; multi-affine functi;

机译：H∞控制;MIMO系统;控制系统综合;多变量控制系统;多项式;不确定系统;H2范式检查;MIMO系统;控制系统设计;凸多边形;分母多项式系数;多仿射函数;

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8. Some Aspects of the Norm Representation for Arithmetic Checking and Correcting Codes [R] . Chiang, C. L., Reed, I. S. 1968

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H2 norm checking for systems with parameteruncertainties

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