H-2/H-infinity Control Design of Detectable Periodic Markov Jump Systems

Hou Ting; Ma Hongji

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H-2/H-infinity Control Design of Detectable Periodic Markov Jump Systems

机译：可检测周期马尔可夫跳跃系统的H-2 / H无穷大控制设计

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An infinite horizon H-2/H-infinity control problem is addressed for discrete-time periodicMarkov jump systems with (x,u,v)- dependent noise. Above all, by use of the spectral criterion of detectability, an extended Lyapunov stability theorem is developed for the concerned dynamics. Further, based on a game theoretic approach, a state-feedback H-2/H-infinity control design is proposed. It is shown that under the condition of detectability H-2/H-infinity feedback gain can be constructed through the solution of a group of coupled periodic difference equations.

机译：针对具有（x，u，v）依赖噪声的离散时间周期Markov跳跃系统，解决了无限时域H-2 / H无穷大控制问题。最重要的是，通过使用可检测性的光谱标准，针对相关动力学开发了扩展的Lyapunov稳定性定理。此外，基于博弈论方法，提出了一种状态反馈H-2 / H无穷大控制设计。结果表明，在可检测性条件下，可以通过一组耦合的周期差分方程的解来构造H-2 / H-无穷大的反馈增益。

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《Mathematical Problems in Engineering》 |2015年第21期|382756.1-382756.7|共7页
作者
Hou Ting; Ma Hongji;
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Shandong Univ Sci & Technol, Coll Math & Syst Sci, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao 266590, Peoples R China|Shandong Univ Sci & Technol, Minist Sci & Technol, Qingdao 266590, Peoples R China;

Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China;

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1. H-infinity and H-2 control design for polytopic continuous-time Markov jump linear systems with uncertain transition rates [J] . Morais Cecilia F., Braga Marcio F., Oliveira Ricardo C. L. F., International Journal of Robust and Nonlinear Control . 2016,第3期

机译：具有不确定过渡率的多主题连续时间马尔可夫跳跃线性系统的H-∞和H-2控制设计
2. H-2 and H-infinity filter design for polytopic continuous-time Markov jump linear systems with uncertain transition rates [J] . Morais Cecilia F., Braga Marcio F., Lacerda Marcio J., International Journal of Adaptive Control and Signal Processing . 2015,第10期

机译：具有不确定过渡速率的多主题连续时间马尔可夫跳跃线性系统的H-2和H-无限滤波器设计
3. Mixed H-2/H-infinity control of markovian jump time-delay systems with uncertain transition probabilities [J] . Qiu Li, Zhang Bo, Xu Gang, Information Sciences: An International Journal . 2016,第Null期

机译：具有不确定转移概率的马尔可夫跳跃时滞系统的混合H-2 / H无穷大控制
4. Stochastic H2/H∞ control of discrete-time periodic Markov jump systems with detectability [C] . Hou Ting, Ma Hongji Annual Conference of the Society of Instrument and Control Engineers of Japan . 2015

机译：具有可检测性的离散时间周期马尔可夫跳跃系统的随机H 2 / H ∞控制
5. Control of time-delayed Markovian jump linear systems. [D] . Beane, Carlos D. 2010

机译：时滞马尔可夫跳跃线性系统的控制。
6. Distributed model predictive control of positive Markov jump systems [O] . Junfeng Zhang, Xuanjin Deng, Langwen Zhang, -1

机译：积极马尔可夫跳跃系统的分布式模型预测控制
7. H2/H∞Control Design of Detectable Periodic Markov Jump Systems [O] . Ting Hou, Hongji Ma 2015

机译：H2 /H∞Control检测定期马尔可夫跳转系统设计
8. Optimal Control for Unknown Discrete Time Nonlinear Markov Jump Systems Using Adaptive Dynamic Programming. [R] . He, H., Zhang, H., Wang, Z., 2014

机译：基于自适应动态规划的离散非线性马尔可夫跳跃系统的最优控制。

H-2/H-infinity Control Design of Detectable Periodic Markov Jump Systems

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