Design of Optimal PID Controller with epsilon-Routh Stability for Different Processes

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	Design of Optimal PID Controller with epsilon-Routh Stability for Different Processes
	Li XH(李先宏); Yu HB(于海斌); Yuan MZ(苑明哲)
刊名	MATHEMATICAL PROBLEMS IN ENGINEERING
	2013
卷号	2013 页码:1-22
ISSN号	1024-123X
通讯作者	于海斌
产权排序	1
中文摘要	This paper presents a design method of the optimal proportional-integral-derivative (PID) controller with epsilon-Routh stability for different processes through Lyapunov approach. The optimal PID controller could be acquired by minimizing an augmented integral squared error (AISE) performance index which contains control error and at least first-order error derivative, or even may contain nth-order error derivative. The optimal control problem could be transformed into a nonlinear constraint optimization (NLCO) problem via Lyapunov theorems. Therefore, optimal PID controller could be obtained by solving NLCO problem through interior method or other optimization methods. The proposed method can be applied for different processes, and optimal PID controllers under various control weight matrices and epsilon-Routh stability are presented for different processes. Control weight matrix and epsilon-Routh stability's effects on system performances are studied, and different tuning methods' system performances are also discussed. epsilon-Routh stability's effects on disturbance rejection ability are investigated, and different tuning methods' disturbances rejection ability is studied. To further illustrate the proposed method, experimental results of coupled water tank system (CWTS) under different set points are presented. Both simulation results and experiment results show the effectiveness and usefulness of the proposed method.
WOS标题词	Science & Technology ; Technology ; Physical Sciences
类目[WOS]	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
研究领域[WOS]	Engineering ; Mathematics
关键词[WOS]	NONLINEAR OPTIMIZATION ; LINE SEARCH ; PARAMETERS ; ALGORITHM ; SYSTEMS ; RULES
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000319583500001
公开日期	2013-10-05
内容类型	期刊论文
源URL	[http://ir.sia.cn/handle/173321/12483]
专题	沈阳自动化研究所_信息服务与智能控制技术研究室
推荐引用方式 GB/T 7714	Li XH,Yu HB,Yuan MZ. Design of Optimal PID Controller with epsilon-Routh Stability for Different Processes[J]. MATHEMATICAL PROBLEMS IN ENGINEERING,2013,2013:1-22.
APA	Li XH,Yu HB,&Yuan MZ.(2013).Design of Optimal PID Controller with epsilon-Routh Stability for Different Processes.MATHEMATICAL PROBLEMS IN ENGINEERING,2013,1-22.
MLA	Li XH,et al."Design of Optimal PID Controller with epsilon-Routh Stability for Different Processes".MATHEMATICAL PROBLEMS IN ENGINEERING 2013(2013):1-22.