Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation
Refined Upper Solution Bound of the Continuous Coupled Algebraic Riccati Equation
复制标题
连续耦合代数Riccati方程的细化上解界
DOI：
10.1155/2020/8627492
复制
发表时间：
2020-08-04
期刊：
影响因子：
2.3
通讯作者：
Wang，Li
中科院分区：
文献类型：
--
作者：
Wang，Li
连续耦合代数Riccati方程（CCARE）在控制理论和线性系统中有着广泛的应用.本文利用构造的半正定矩阵、矩阵不等式和矩阵特征值不等式，给出了CCARE的一个新的双参数型上界。其次，我们给出了一个求CCARE紧上界的迭代算法，证明了它的有界性，并分析了它的单调性和收敛性。最后给出了相应的数值例子，说明了所得结果的优越性和有效性.
The continuous coupled algebraic Riccati equation (CCARE) has wide applications in control theory and linear systems. In this paper, by a constructed positive semidefinite matrix, matrix inequalities, and matrix eigenvalue inequalities, we propose a new two-parameter-type upper solution bound of the CCARE. Next, we present an iterative algorithm for finding the tighter upper solution bound of CCARE, prove its boundedness, and analyse its monotonicity and convergence. Finally, corresponding numerical examples are given to illustrate the superiority and effectiveness of the derived results.