一类不确定线性组合系统的变结构分散镇定

Variable Structure Decentralized Control for a Class of Uncertain Linear Composite Systems

研究了具有参数摄动、外界干扰等不确定因素影响的线性大系统的分散控制问题。考虑到子系统间关联项的重要作用,在子系统间关联项可知的情况下,提出一种新的考虑问题的思路。将已知的关联作用矩阵作为标称系统的参数矩阵,在假设系统不确定性有界且满足一定匹配条件的前提下,给出一种变结构分散控制算法,实现了大系统的全局渐近稳定。该控制律设计简单,并保证了闭环系统较好的动态性能和较强的鲁棒性。

The decentralized control problem is discussed for a class of uncertain linear composite systems with parametric perturbation and exterior disturbance. In consideration of the important function of the interconnected terms, under the condition of the connection item knowable, a new idea for solving such problem was put forward. The connection matrix that will have already know is regarded as the parameter matrix of the nominal system. Based on the assumption of the uncertainty satisfying the bounded and matched conditions, a new robust decentralized variable structure controller is proposed to ensure the global asymptotic stability of the uncertain linear composite systems by means of Lyapunov method. The proposed control law is concise and easy to be realized.