摘要
针对一类具有非线性扰动不确定时滞系统,研究了使闭环系统渐近稳定且滚动时域性能指标在线最小化的鲁棒预测控制器设计问题。基于预测控制滚动优化原理,运用Lyapunov稳定性理论和线性不等式方法,将无穷时域"min-max"优化问题转化为凸优化问题,给出了系统稳定的充分条件。优化问题的可行性保证了算法的鲁棒稳定性。最后通过仿真验证所提方法的有效性。
The design problem of robust state feedback model predictive controllers is considered which guarantees that the closed-loop system is asymptotically stable and an on-line receding horizon guaranteed cost is minimized for a class of uncertain time-delay systems with nonlinear disturbance. Based on predictive control principle of receding optimization, the infinite time domain "min-max" optimization problems are converted into convex programming problems by means of Lyapunov stable theory and linear matrix inequalities(LMIs) technique; and the sufficient conditions for the robust stability of the system are given. The feasibility of the above optimization problem guarantees the robust stability of the system. Finally, the simulation results illustrate the effectiveness of the proposed methods.
出处
《电子设计工程》
2016年第6期190-193,共4页
Electronic Design Engineering