| 一类非线性广义马尔可夫跳变系统的耗散控制 |
投稿时间：2020-06-12 修订日期：2020-06-19  点此下载全文 |
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| 中文摘要:将耗散系统二次型供给率中的矩阵Q推广到Q>0的情况。进而研究了一类连续时间具有未知状态转移概率的非线性广义马尔可夫跳变系统的严格耗散控制问题。在限制条件更弱的Willems耗散性定义的基础上，首先基于一类Lyapunov函数，给出了相应的随机容许的条件，然后设计导数比例反馈控制器，通过一系列的矩阵构造和合同变换，将不能用Schur变换和LMI工具箱解决的双线性矩阵不等式（BMI）转化为线性矩阵不等式（LMI），最后运用Matlab中的LMI工具箱具体给出实例，证明其可行性。 |
| 中文关键词:非线性广义马尔可夫跳变系统，转移概率部分未知，耗散控制，P-D反馈 |
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| For a class of nonlinear Singular Markov Jump Systems Dissipative control |
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| Abstract:The matrix Q in the quadratic supply rate of the dissipative system is extended to the case where Q> 0. Furthermore, the strict dissipative control problem for a class of nonlinear singular Markov jump systems with unknown state transition rates in continuous time is studied. Based on the definition of Willem's dissipativity with weaker constraints, firstly, based on a class of Lyapunov function, the corresponding stochastically admissible conditions are given. Secondly, we design proportional derivative feedback controller through a series of matrix constructions and contract transformations. The Schur complement and the bilinear matrix inequality (BMI) solved by the LMI toolbox is transformed into a linear matrix inequality (LMI). Finally, an example is given by using the LMI toolbox in Matlab to prove its feasibility. |
| keywords:nonlinear singular Markov jump systems partly unknown transition rates strict dissipativity P-D state feedback |
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