Optimal Weighted Performance of the Generalized Linear Control System with Uncertainty

The optimal performance under the effect of the plant uncertainty is investigated in this paper. The plants with the relative degree zero and one considered are unstable. The uncertain disturbance problem is formulated by utilizing stochastic embedding of the uncertainty. The expectation of the H2 norm for the weighted tracking sensitivity error between the nominal system and the true system is defined and minimized by adjusting the true controller. The optimal redesign controller are derived. One example is given to evaluate the optimal weighted performance. It is shown that it is hard to control the system as the unmodeled gain increases.
Linear System Plant Uncertainty Weighted Performance
WANG Baoxian GUAN Zhi-Hong YUAN Fu-Shun DING Li
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, P. R. China School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
2276-2280
2012-07-01(万方平台首次上网日期,不代表论文的发表时间)