Iterative learning control for uncertain linear distributed parameter systems with control delay

作者：Dai, Xi-Sheng^*; Tian, Sen-Ping

来源：Systems Engineering and Electronics, 2012, 34(10): 2117-2120.

DOI：10.3969/j.issn.1001-506X.2012.10.24

• Control delay
• Distributed parameter systems
• Gronwall Bellman inequality
• Iterative algorithm
• Iterative learning algorithms
• Iterative learning control
• Iterative processing
• System state

Under the condition that a certain error can exist in the initial value of system state in iterative processing, an iterative learning control problem for a class of uncertain linear distributed parameter systems with control delay is discussed. A P-type iterative learning algorithm based on the known time delay is presented, and the sufficient condition of L2 norm convergence is given. The convergence of the iterative algorithm is proved by using Green formula and Gronwall-Bellman inequality. A numerical example is addressed to illustrate the effectiveness of the proposed method.

• 出版日期2012-10
• 单位华南理工大学; 广西大学