文献类型：期刊文献

英文题名：Adaptive multiple model control for nonlinear constrained systems with a novel barrier Lyapunov function

作者：Zhang, Yanqi[1];Wang, Xin[2,4];Wang, Zhenlei[1,3]

机构：[1]East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai, Peoples R China;[2]Shanghai Jiao Tong Univ, Ctr Elect & Elect Technol, Shanghai, Peoples R China;[3]East China Univ Sci & Technol, Key Lab Smart Mfg Energy Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[4]Shanghai Jiao Tong Univ, Ctr Elect & Elect Technol, Shanghai 200240, Peoples R China

年份：2023

卷号：33

期号：11

起止页码：6533

外文期刊名：INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL

收录：;EI(收录号：20231513877455);WOS:【SCI-EXPANDED(收录号:WOS:000963053300001)】；

基金：This work was supported by National Natural Science Foundation of China (Basic Science Center Program) (61988101), Shanghai Pilot Program for Basic Research (22TQ1400100-3), National Natural Science Fund for Distinguished Young Scholars (61925305), National Natural Science Foundation of China (62173147), and Fundamental Research Funds for the Central Universities (222202317006).

语种：英文

外文关键词：adaptive control; barrier Lyapunov functions; multiple model control; nonlinear systems; second level adaptation; state constraints

摘要：This paper investigates the problem of the multiple model control of nonlinear full state constrained systems with a novel barrier Lyapunov function. To handle the problem of unknown parameters, the identification model set containing q+1$$ q+1 $$ identification models is established. The novel barrier Lyapunov functions (BLFs) are employed to guarantee that all system states do not violate their boundaries and can remove the restricted condition associated with traditional BLFs. By using the first order filter technique, the "explosion of complexity" difficulty caused by the repeated differential from the backstepping technique is removed. In addition, the estimation of unknown parameters is obtained by using the convex hull property. Based on the second level adaptation technique, the convex hull parameters are designed by using the identification error dynamics, and this algorithm has better convergence property than other algorithms. Then, a multiple model control strategy is developed, which not only guarantees that the requirement of all state constraints is realized, but also ensures that the boundedness of all signals of closed-loop systems are not violated. The key advantage is that the proposed strategy does not require enormous identification models, that is, the number of identification model is reduced significantly. Finally, the effectiveness of the presented scheme is illustrated through the simulation results.