通信访问约束条件下线性随机系统的可调节性研究

Regulability of linear stochastic system under communication access constraints

通过可估计性和可调节性的对偶关系,文章研究了在通信约束条件下的线性离散随机系统的可调节性问题。采用二值函数来描述通信约束系统中各信号的通信状态。通过对偶原理,证明了输入约束系统的可调节性等价于输出约束系统的可估计性,从而实现了对输入约束系统可调节性的考察,并且得出了在输入信号存在通信约束情况下的系统可调节性条件。仿真结果表明,在通信约束情况下,存在合理的通信策略,使得输入约束系统保持可调节性。文章还证明了在MMEE意义下系统的可估计性和可调节性之间的关系。

Estimability and regulability are the two dual properties of the linear stochastic system.The problem of regulability for the linear stochastic system with constraint communication is investigated by the duality property.The access statuses of the input signals in the constraint communication system are identified by binary-value functions.Based on the duality principle,the problem of the regulability is discussed and a condition for regulability under the access constraints is derived.The simulation results show that proper communication strategies can preserve regulability of the system which is under communication access constraints.Furthermore,the connection between the estimability and the regulability under the MMEE principle is also presented.