文章摘要
何德峰,徐山,余世明.约束非线性系统保安全和稳定的双模经济模型预测控制[J].高技术通讯(中文),2021,31(3):232~239
约束非线性系统保安全和稳定的双模经济模型预测控制
Dual-mode economic model predictive control with guaranteed safety and stability of constrained nonlinear systems
  
DOI:10.3772/j.issn.1002-0470.2021.03.002
中文关键词: 经济模型预测控制(EMPC); 约束非线性系统; 安全控制; 稳定性
英文关键词: economic model predictive control (EMPC), constrained nonlinear system, safety control, sta­bility
基金项目:
作者单位
何德峰  
徐山  
余世明  
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中文摘要:
      考虑输入仿射非线性约束系统的安全与经济优化控制问题,提出一种约束非线性系统高效安全经济模型预测控制(SEMPC)策略。首先引入控制李雅普诺夫障碍函数(CLBF)概念,设计系统运行安全约束和参数化非线性局部控制律。为平衡SEMPC的在线计算量和经济优化性能,构造约束非线性系统的参数化双模模型预测控制(MPC)控制器,其中,控制器自由参数在系统状态进入终端域后在线优化确定。进一步,应用双模控制原理和控制李雅普诺夫函数性质,证明SEMPC策略的递推可行性和闭环系统的渐近稳定性。最后,通过对一连续搅拌釜反应器的安全、经济和稳定控制的仿真实验,验证了本文策略的有效性。
英文摘要:
      This paper considers the safety and economic optimization control problems of input-affine constrained nonlin-ear systems and an efficient safe economic model predictive control (SEMPC) strategy is proposed for constrained nonlinear systems. Firstly, the concept of control Lyapunov-barrier function (CLBF) is introduced to design the safe operation constraints and parameterized nonlinear local control laws of the system. In order to make a trade-off between the online computational burden and economic optimization performance of SEMPC, the parameterized du-al-mode MPC controller is constructed for the constrained nonlinear system. The free parameters of the dual-mode MPC are calculated online when the states of the system enter the terminal domain. Moreover, recursive feasibility of the SEMPC and asymptotic stability of the closed-loop system are established by the dual-mode control principle and the properties of control Lyapunov function (CLF). Finally, a simulation experiment of safety, economic and stabilizing control of a continuous stirred tank reactor (CSTR) is used to illustrate the effectiveness of the proposed strategy.
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