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Mode feedback control strategy for continuous-time Markovian jump linear systems with controllable mode transition rate matrix

机译:具有可控模式过渡率矩阵的连续时间马尔维亚跳跃线性系统的模式反馈控制策略

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This paper investigates mode feedback control strategy for continuous-time Markovian jump linear systems with controllable mode transition rate matrix (MTRM). Based on the fact that system stability as well as its performance is dependent on MTRM, a mode feedback controller is proposed to perform control on MTRM such that system stability is achieved. Meanwhile, this strategy can help to improve system performance since it can adjust the occurrence probability of each subsystem. Firstly, taking into account that MTRM will totally determine system stability in absence of state feedback controller, the existence and restrictions on mode feedback controller are discussed where two cases are included. Then, based on a quadratic stabilization cost function that is a combination of state cost and control cost, a feasible solution of mode feedback control strategy is then obtained with its detailed algorithm given. Simulation results including comparisons with current state feedback mechanism are provided to illustrate the effectiveness of the proposed strategy.
机译:本文调查了具有可控模式转换率矩阵(MTRM)的连续时间马尔维亚跳跃线性系统的模式反馈控制策略。基于系统稳定性以及其性能取决于MTRM的事实,提出了一种模式反馈控制器来对MTRM进行控制,使得实现系统稳定性。同时,此策略可以帮助提高系统性能,因为它可以调整每个子系统的发生概率。首先,考虑到MTRM将在没有状态反馈控制器的情况下完全确定系统稳定性,讨论了模式反馈控制器的存在和限制,其中包括两种情况。然后,基于具有状态成本和控制成本的组合的二次稳定成本函数,然后通过给定的详细算法获得模式反馈控制策略的可行解决方案。仿真结果包括提供具有当前状态反馈机制的比较,以说明所提出的策略的有效性。

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