Application of General Orthogonal Polynomials on Tracking Problem of Time-varying Systems Optimal Control
-
摘要: 采用广义正交多项式的展开技术,利用其积分、乘积运算阵,对于时变线性系统最优控制中的跟踪问题,直接从最优控制的性能泛函入手,将最优控制问题转化为代数极值问题,从而避免了求解非线性Riccati方程,得到了一个较为简便的算法,并结合实例说明了方法的可行性.Abstract: A new method is presented for solving the tracking problem of time-varying systems optimal control. The approach starts by applying general orthogonal polynomials operational matrices and using finite GOPs expansion to approximate state, control variable and performance index, then differential equation and integration equation convert into algebraic forms, the control problem becomes one of finding the GOPs coefficients of the control variable alone with minimizes the cost function, so the method avoids solving the nonlinear Riccati equation and the calculation procedure become effective and straightforward. An illustrative numerical example is interpreted to support this technique.
-
1. Wing Mawling,Chang Rongyeu,Yang Shuyien.Analysis and optimal control of time-varing systems via generalized orthogonal polynomials.Int J control,1986,44(4):895~910 2. Chen Chaokuang,Yang Chingyu. Analysis and parameter identification of time-delay systems via polynomial.Int J control, 1987, 46(1):111~127 3. Paraskeopoulos P N, Tsirikos A S. A new orthogonal series approach to state space analysis of bilinear systems. IEEE Trans on Autom Control,1994,39(4):793~797 4. Michael Athans, Peter L Falb. Optimal control.New York:McGraw-Hill Book Company,1966 5. 须田信英著.自动控制中的矩阵理论.曹长修译.北京:科学出版社,1979 -
点击查看大图
计量
- 文章访问数: 2833
- HTML全文浏览量: 235
- PDF下载量: 979
- 被引次数: 0
下载:
