| Suboptimal Control for Discrete Linear Systems with Time-delay:A Successive Approximation Approach |
| |
| 作者姓名： | TANG Gong-You WANG Hai-Hong |
| |
| 作者单位： | College of Information Science and Engineering，Ocean University of China，Qingdao 266071 |
| |
| 基金项目： | Supported by National Natural Science Foundation of P.R.China (60074001),and the Natural Science Foundation of Shandong Province (Y2000G02) |
| |
| 摘 要： | A successive approximation approach for designing optimal controllers is presented for discrete linear time-delay systems with a quadratic performance index.By using the successive approximation approach,the original optimal,control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value (TPBV) problems without time-delay and time- advance terms.The optimal control law obtained consists of an accurate feedback terms and a time-delay compensation term which is the limit of the solution sequence of the adjoint equations. By using a finite-step iteration of the time-delay compensation term of the optimal solution sequence, a suboptimal control law is obtained.Simulation examples are employed to test the validity of the proposed approach.
|
Suboptimal Control for Discrete Linear Systems with Time-delay:A Successive Approximation Approach |
| |
| TANG Gong-You WANG Hai-Hong.Suboptimal Control for Discrete Linear Systems with Time-delay:A Successive Approximation Approach[J].Acta Automatica Sinica,2005(3). |
| |
| Authors: | TANG Gong-You WANG Hai-Hong |
| |
| Abstract: | A successive approximation approach for designing optimal controllers is presented for discrete linear time-delay systems with a quadratic performance index.By using the successive approximation approach,the original optimal,control problem is transformed into a sequence of nonhomogeneous linear two-point boundary value (TPBV) problems without time-delay and time- advance terms.The optimal control law obtained consists of an accurate feedback terms and a time-delay compensation term which is the limit of the solution sequence of the adjoint equations. By using a finite-step iteration of the time-delay compensation term of the optimal solution sequence, a suboptimal control law is obtained.Simulation examples are employed to test the validity of the proposed approach. |
| |
| Keywords: | Discrete systems time-delay systems optimal control suboptimal control successive approximation approach |
| 本文献已被 CNKI 等数据库收录！ |
