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| Abstract: |
| For a type of high-order discrete-time nonlinear systems (HDNS) whose system models are undefined, a model-free predictive control (MFPC) algorithm is proposed in this paper. At first, an estimation model is given by the improved projection algorithm to approach the controlled nonlinear system. Then, on the basis of the estimation model, a predictive controller is designed by solving the finite time domain rolling optimization quadratic function, and the controller’s explicit analytic solution is also obtained. Furthermore, the closed-loop system's stability can be ensured. Finally, the results of simulation reveal that the presented control strategy has a faster convergence speed as well as more stable dynamic property compared with the model-free sliding mode control (MFSC). |
| Key words: nonlinear system compact dynamic linearization (CDL) model predictive control (MPC) model-free control (MFC) projection algorithm |
| DOI：10.11916/j.issn.1005-9113.21009 |
| Clc Number:O231.2 |
| Fund: |
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| Descriptions in Chinese: |
| 一类高阶非线性系统的无模型预测控制 田野 苏佰丽 （曲阜师范大学 工学院，山东 日照 276826） 摘要：针对一类模型未知的高阶离散非线性系统，提出一种无模型预测控制算法。首先，利用改进的投影算法来逼近被控非线性系统，给出一个估计模型。然后，基于估计模型，通过求解有限时域滚动优化二次函数，设计预测控制器，得到控制器的显式解析解。同时保证了闭环系统的稳定性。仿真结果表明，该控制策略具有良好的稳定性和鲁棒性，且与无模型滑模控制相比，该控制策略具有更快的收敛速度和更稳定的动态特性。 关键词：非线性系统；紧格式动态线性化；模型预测控制；无模型控制；改进的投影算法 |
