考虑时域硬约束的T-S模糊系统最优控制  

Optimal control for T-S fuzzy systems with time domain hard constraints

作　　者：高兴泉[1] 马苗苗[1] 陈虹[1] 

机构地区：[1]吉林大学通信工程学院

出　　处：《吉林大学学报（工学版）》2007年第3期640-645,共6页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金面上项目(60374027);教育部新世纪优秀人才支持计划

摘　　要：针对带有时域硬约束(控制输入约束和状态约束)的T-S模糊系统,提出了一种基于状态反馈的优化控制算法。在系统初始状态小于某个界的情况下,将性能输出的能量作为优化的性能指标,通过最小化系统的不变椭圆域来实现系统优化控制,同时得到依赖于该不变域的满足时域硬约束的充分条件。该多目标控制问题最后归结为求解在一组非线性不等式约束条件下的优化问题,本文给出了该优化问题的解决方法,并分析了该方法的可行性。在倒立摆系统中应用的仿真结果验证了该方法的有效性。An optimal control algorithm for T-S fuzzy systems with time domain hard constraints including control input constraints and state constraints was proposed, in which the output energy was chosen as performance function with the initial state under a bound. This algorithm was realized by minimizing the invariant ellipsoid of the closed loop system. Some sufficient conditions dependent on the invariant set for the satisfaction of the time domain hard constraints were also derived. The multiobjective design was finally deduced to solve an optimization problem with a set of nonlinear matrix inequalities. The solution for this problem was given, and the feasibility of this scheme was discussed. Simulation results for the application in inverted pendulum validate this control algorithm.

关 键 词：自动控制技术 T-S模糊系统 时域硬约束 最优控制 非线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]