This article investigates the cooperative output regulation problem for discrete-time heterogeneous multiagent Markov jump systems. Two cases are studied: 1) output regulation quadratic control in the case where the exosystem is accessible to all agents and 2) cooperative output regulation quadratic control in the case where only a part of agents can directly communicate with the exosystem. The hidden Markov models are employed to describe the asynchronous modes of the agents and their corresponding controllers. Via the jumping regulator equation, asynchronous control laws are constructed and the algorithms to obtain control parameters are presented in terms of linear matrix inequalities. For the first case, the optimal synchronous/mode-dependent control law, which is a special case of the asynchronous control protocol, is also given via the stochastic dynamic programming approach. Finally, an example is given to illustrate the effectiveness of the proposed approaches.

中文翻译：

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离散时间异构多智能体马尔可夫跳跃系统的协同输出调节二次控制


本文研究了离散时间异构多智能体马尔可夫跳跃系统的协作输出调节问题。研究了两种情况：1）所有智能体均可访问外系统的情况下的输出调节二次控制；2）只有部分智能体可以直接与外系统通信的情况下的协作输出调节二次控制。采用隐马尔可夫模型来描述代理及其相应控制器的异步模式。通过跳跃调节器方程，构造了异步控制律，并以线性矩阵不等式的形式给出了获取控制参数的算法。对于第一种情况，最优同步/模式相关控制律（异步控制协议的特例）也通过随机动态规划方法给出。最后，给出一个例子来说明所提出方法的有效性。