离心-气压系统基于SDRE的最优保性能鲁棒控制

针对离心-气压系统,本文提出基于状态相关黎卡提方程(SDRE)的最优保性能鲁棒控制方案,实现高精度、高稳定性的气压控制.针对气压系统中存在的参数不确定性及参数未知且与状态相关的问题,首先采用自适应参数估计方法对系统未知参数进行估计,保证参数估计误差的快速收敛.基于参数估计的结果,设计了最优保性能鲁棒控制器,该控制器在参数不确定性存在的情况下仍能保证系统性能指标达到一确定的上界.然而,由于新的黎卡提方程是与状态相关的,不易求得解析解,因此,通过泰勒级数法离线逼近SDRE的最优解.所提出的控制方案不但具有较强的鲁棒性,并且具有快速、无超调、易于应用等优点.最后,仿真分析和实验结果也验证了所设计的控...

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Published in	控制理论与应用 Vol. 41; no. 10; pp. 1937 - 1943
Main Authors	王敏林, 董雪明, 任雪梅
Format	Journal Article
Language	Chinese
Published	北京长城计量测试技术研究所,北京 100095%北京理工大学自动化学院,北京 100081 01.10.2024
Subjects	最优保性能鲁棒控制 optimal robust guar-anteed cost control adaptive parameter estimation centrifugal pneumatic system state-dependent Riccati equation 离心-气压系统状态相关黎卡提方程 parameter uncertainties 自适应参数估计参数不确定性
Online Access	Get full text
ISSN	1000-8152
DOI	10.7641/CTA.2023.20688

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Abstract	针对离心-气压系统,本文提出基于状态相关黎卡提方程(SDRE)的最优保性能鲁棒控制方案,实现高精度、高稳定性的气压控制.针对气压系统中存在的参数不确定性及参数未知且与状态相关的问题,首先采用自适应参数估计方法对系统未知参数进行估计,保证参数估计误差的快速收敛.基于参数估计的结果,设计了最优保性能鲁棒控制器,该控制器在参数不确定性存在的情况下仍能保证系统性能指标达到一确定的上界.然而,由于新的黎卡提方程是与状态相关的,不易求得解析解,因此,通过泰勒级数法离线逼近SDRE的最优解.所提出的控制方案不但具有较强的鲁棒性,并且具有快速、无超调、易于应用等优点.最后,仿真分析和实验结果也验证了所设计的控制方案可以实现气压范围为1～100 kPa,随动误差低于10 Pa的高精度跟踪控制.
AbstractList	针对离心-气压系统,本文提出基于状态相关黎卡提方程(SDRE)的最优保性能鲁棒控制方案,实现高精度、高稳定性的气压控制.针对气压系统中存在的参数不确定性及参数未知且与状态相关的问题,首先采用自适应参数估计方法对系统未知参数进行估计,保证参数估计误差的快速收敛.基于参数估计的结果,设计了最优保性能鲁棒控制器,该控制器在参数不确定性存在的情况下仍能保证系统性能指标达到一确定的上界.然而,由于新的黎卡提方程是与状态相关的,不易求得解析解,因此,通过泰勒级数法离线逼近SDRE的最优解.所提出的控制方案不但具有较强的鲁棒性,并且具有快速、无超调、易于应用等优点.最后,仿真分析和实验结果也验证了所设计的控制方案可以实现气压范围为1～100 kPa,随动误差低于10 Pa的高精度跟踪控制.
Abstract_FL	In this paper,an optimal guaranteed cost robust control scheme based on the state-dependent Riccati equation(SDRE)is proposed for the centrifugal pneumatic system to achieve the high-precision and high-stability air pressure control.As the centrifugal pneumatic system exists the parameter uncertainties and its parameters are usually unknown and state-dependent,this paper uses the adaptive parameter estimation method to estimate the system unknown parameters with fast convergence of the estimation errors.Based on the parameter estimation results,an optimal robust guaranteed cost controller is designed to deal with the influence of the parameter uncertainties and guarantee the cost function reaching a certain upper bound.Since the new SDRE is state-dependent which does not have an analytic solution,the Taylor series method is used to approximate the optimal solution offline.The proposed controller has the following merits:Strong robustness,fast transient response,no overshoot and simple to implement.Finally,simulation analysis and experimental results also verify that the proposed controller can realize the precise tracking control of air pressure range 1～100 kPa with following error less than 10 Pa.
Author	董雪明王敏林任雪梅
AuthorAffiliation	北京长城计量测试技术研究所,北京 100095%北京理工大学自动化学院,北京 100081
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Author_FL	DONG Xue-ming WANG Min-lin REN Xue-mei
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