学术
受正弦扰动的线性时滞系统的最优输出跟踪控制
唐功友[1] 胡乃平[2] 赵艳东[3]
[1]中国海洋大学信息科学与工程学院,山东青岛266100 [2]青岛科技大学信息科学技术学院,山东青岛266042 [3]青岛科技大学自动化工程学院,山东青岛266042
摘 要:
考虑参考输入由外系统给出的状态含有时滞的线性系统在正弦干扰下的最优输出跟踪问题。利用逐次逼近法，通过构造线性非齐次两点边值问题序列，求得了用于补偿时滞的伴随向量。分别利用参考输入外系统状态、干扰及其导数信号引入前馈控制作用。得到的控制律包含精确反馈项、前馈项和伴随向量极限形式的时滞补偿项。通过引入参考输入观测器解决由于引入外系统状态而导致的前馈控制律的物理不可实现问题。仿真结果表明该方法的有效性。[著者文摘]
文章出处:
《中国海洋大学学报》-2008年38卷1期 -129-134页
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
1672-5174（2008）01-129-06
Optimal Output Tracking Control for Linear Time-Delay Systems with Sinusoidal Disturbances
TANG Gong-You, HU Nai-Ping, ZHAO Yan-Dong （1. College of Information Science and Engineering, Ocean University of China, Qingdao 266100, China; 2. College of Information Science and Technology, Qingdao University of Science and Technology, Qingdao 266042, China; 3. College of Automation Engineering, Qingdao University of Science and Technology, Qingdao 266042, China）
Abstract:
The problem of optimal output tracking control for linear time-delay systems with sinusoidal disturbances is considered, where the reference input is generated by an exosystem. The sequence of linear nonhomogeneous two-point boundary value （TPBV） problem is constructed by using the successive approximation approach （SAA）. The adjoint vector utilized to compensate for the time-delay can be obtained by solving this problem sequence. The feedforward control action is introduced by using the state of the exosystem, disturbance information and its derivative. The control law consists of an accurate linear feedback term, feedforward terms and the time-delay compensation which is the limit of the sequence of the adjoint vector. A reduced-order reference input observer is constructed to make the feedforward control law physically realizable. A simulation example is employed to illustrate the validity of the algorithm.[著者文摘]
Key words:
time-delay systems; optimal control; output tracking; sinusoidal disturbances; observer
基金资助:
国家自然科学基金（60574023.40776501）;山东省自然科学重点基金（Z2005G01）资助
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