Design of robust optimal proportional–integral–derivative controller based on new interval polynomial stability criterion and Lyapunov theorem in the multiple parameters perturbations circumstance
文献类型：期刊论文
| 作者 | Li XH(李先宏) ; Yu HB(于海斌); Yuan MZ(苑明哲); Wang, Jin
|
| 刊名 | IET Control Theory & Application
 |
| 出版日期 | 2010 |
| 卷号 | 4期号:11页码:2427-2440 |
| 关键词 | Lyapunov methods control system synthesis nonlinear control systems optimal control optimisation performance index polynomials robust control three-term control |
| ISSN号 | 1751-8644 |
| 产权排序 | 1 |
| 通讯作者 | 于海斌 |
| 中文摘要 | Based on the new interval polynomial stability criterion and Lyapunov theorem, a robust optimal proportional-integral-derivative (PID) controller is proposed here to design for different plants that contain the perturbations of multiple parameters. A new stability criterion of the interval polynomial is presented to determine whether the interval polynomial belongs to Hurwitz polynomial. The robust optimal PID controller is acquired through minimising an augmented integral squared error (AISE) performance index. The robust optimal control problem is transformed into a non-linear constraint optimisation (NLCO) problem by applying new polynomial stability criterion and Lyapunov approach. The robust optimal PID parameters are obtained from solving the NLCO problem. The robustness and performances of the proposed method and other different tuning methods are compared. The ability of the proposed PID tuning method and other tuning methods to reject disturbances is discussed as well. The simulation results are presented to demonstrate the effectiveness of the proposed method and show better robustness of the robust optimal PID controller. |
| WOS标题词 | Science & Technology ; Technology |
| 类目[WOS] | Automation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation |
| 研究领域[WOS] | Automation & Control Systems ; Engineering ; Instruments & Instrumentation |
| 关键词[WOS] | CONJUGATE-GRADIENT METHOD ; QUASI-NEWTON METHODS ; PID CONTROLLERS ; CONSTRAINED MINIMIZATION ; OPTIMIZATION ; ALGORITHM ; INTERIOR |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000284471900017 |
| 公开日期 | 2012-05-29 |
| 源URL | [http://ir.sia.cn/handle/173321/7073]  |
| 专题 | 沈阳自动化研究所_工业信息学研究室 |
| 推荐引用方式 GB/T 7714 | Li XH,Yu HB,Yuan MZ,et al. Design of robust optimal proportional–integral–derivative controller based on new interval polynomial stability criterion and Lyapunov theorem in the multiple parameters perturbations circumstance[J]. IET Control Theory & Application,2010,4(11):2427-2440. |
| APA | Li XH,Yu HB,Yuan MZ,&Wang, Jin.(2010).Design of robust optimal proportional–integral–derivative controller based on new interval polynomial stability criterion and Lyapunov theorem in the multiple parameters perturbations circumstance.IET Control Theory & Application,4(11),2427-2440. |
| MLA | Li XH,et al."Design of robust optimal proportional–integral–derivative controller based on new interval polynomial stability criterion and Lyapunov theorem in the multiple parameters perturbations circumstance".IET Control Theory & Application 4.11(2010):2427-2440. |
入库方式： OAI收割
来源：沈阳自动化研究所
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