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| 摘要: |
| 研究了非线性离散系统最优控制问题,提出一种逐次逼近方法;首先将系统的最优控制问题转化为非线性两点边值问题族,然后通过构造线性两点边值问题族,将非线性两点边值问题转化为非奇次线性两点边值问题族;得到的最优控制律由精确控制项和非线性补偿项两部分组成,精确控制项可以通过求解R iccati方程求出其精确解,非线性补偿项由逐次逼近法求解一族线性伴随向量方程的解序列求得;仿真结果证明了逐次逼近方法的有效性。 |
| 关键词: 非线性离散系统,最优控制,逐次逼近法,两点边值问题 |
| DOI： |
| 分类号:TP13 |
| 基金项目:国家自然科学基金项目(60574023) |
|
| Optimal control for a class of nonlinear discrete-time systems:a successive approximation approach |
|
LIU Peng
|
| Abstract: |
| A successive approximation approach designing optimal controllers is developed for a class of nonlinear discrete-time systems.The original optimal control problem is transformed first into a sequence of nonlinear two-point boundary value(TPBV) problems.By |
| Key words: nonlinear discrete-time systems,optimal control,successive approximation approach,TPBV problem |
