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论文类型：期刊论文

发表时间：2014-01-02

发表刊物：INTERNATIONAL JOURNAL OF CONTROL

收录刊物：SCIE、EI、Scopus

卷号：87

期号：1

页面范围：131-142

ISSN号：0020-7179

关键字：H-infinity norm; continuous-time periodic system; monodromy matrix; Hamiltonian system; structure-preserving algorithm

摘要：A new reliable structure-preserving algorithm for computing H norm of linear continuous-time periodic systems is proposed in this paper. In the computation of the H norm, no Riccati differential equations are needed to solve and only eigenvalues of a monodromy matrix of the associated periodic Hamiltonian system will be evaluated. First, the monodromy matrix is expressed as the product of state transition matrices of the Hamiltonian system. Second, these state transition matrices, which have been proved to be symplectic matrices, are evaluated by a structure-preserving Magnus series method. Then, in order to preserve the standard symplectic form of the monodromy matrix, the structure-preserving matrices obtained by state transition matrices are employed to compute the monodromy matrix. At last, the effectiveness and the high accuracy of the proposed structure-preserving algorithm are demonstrated by numerical examples.