自动化学报2003，Vol.29Issue(4)：582-588,7.
基于Popov定理的输入非线性广义预测控制系统的稳定性分析
Stability Analysis of Generalized Predictive Control with Input Nonlinearity Based-on Popov′s Theorem
摘要
Abstract
For systems with input saturation constraint and invertible static input nonlinearity, a two step generalized predictive control (TSGPC) strategy is adopted. An intermediate variable representing the desired control action is obtained by applying linear GPC (LGPC), then the invertible static nonlinearity is compensated by solving nonlinear algebraic equation (NAE) and the input saturation constraint is satisfied by desaturation. TSGPC has low computational burden and is especially suitable for fast control application. The closed-loop block diagram of this system is turned into a static nonlinear feedback form, and Popov′s theorem is applied to the closed-loop stability analysis. The sufficient stability conditions are obtained. Effective algorithms for determining controller parameters are given to make the stability conclusions applicable and an example is given for illustration.关键词
输入非线性/两步法/广义预测控制/Popov定理Key words
Input nonlinearity/two-step scheme/generalized predictive control/Popov′s theorem分类
信息技术与安全科学引用本文复制引用
丁宝苍,李少远,席裕庚..基于Popov定理的输入非线性广义预测控制系统的稳定性分析[J].自动化学报,2003,29(4):582-588,7.基金项目
Supported by National Natural Science Foundation of P.R.China(69934020) （69934020）
