New robust control method with guardian maps
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摘要: 针对现代控制系统不确定性的问题,基于保护映射理论提出了一种新的鲁棒控制方法.利用保护映射理论,构建控制器增益与闭环系统极点间的联系,通过配置闭环系统极点,改善控制系统的动态特性和稳态性能,以满足期望的性能指标.整个设计过程中控制器结构固定,只需一个初始增益,即可实现系统的鲁棒控制.仿真研究显示对含参数变化的2阶系统模型,该方法能够自适应地获取满足整个变化系统控制性能的控制器增益,同时Monte Carlo随机试验表明了系统参数随机变化下,所求控制增益仍满足系统控制性能要求,从而保证了控制过程的鲁棒性.Abstract: According to uncertain characteristics of modern control system, a new robust control method based on guardian maps theory was proposed. In light of guardian maps theory, the constraints between the controller gain parameters and the closed loop system poles were set up by this algorithm. By the closed loop system poles assignment, the dynamic characteristics and the steady performances were to meet the expected performance requirements. The controller structure was fixed. As long as an initial gain parameter was given, the robust control of the system can be realized. Simulation results show that this algorithm can adaptively obtain the control gain parameters and meet the control requirements all along the entire domain for the second order system model with parameter. Meanwhlie,the Monte Carlo random experiment shows that the control gain parameters still satisfy the requirements of system control performance, so as to ensure the robustness of the control process under the random variation of system parameters.
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Key words:
- guardian maps /
- control system /
- gain parameter /
- robust control /
- adaptive
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[1] 程路.近空间飞行器鲁棒自适应协调控制研究[D].南京:南京航空航天大学,2011. CHENG Lu.Research on robust adaptive coordinative control for near space vehicle[D].Nanjing:Nanjing University of Aeronautics and Astronautics,2011.(in Chinese) [2] 薛雅丽.基于轨迹线性化方法的近空间飞行器鲁棒自适应控制研究[D].南京:南京航空航天大学,2010. XUE Yali.Robust adaptive approach for near space vehicles based on trajectory linearization control[D].Nanjing:Nanjing University of Aeronautics and Astronautics,2010. (in Chinese) [3] 代冀阳,黄盈,彭琛.飞行/推进系统分散控制优化设计及鲁棒性分析[J].航空动力学报,2013,28(1):233-240. DAI Jiyang,HUANG Ying,PENG Chen.Optimization design and robustness analysis of decentralized control for integrated flight/propulsion systems[J].Journal of Aerospace Power,2013,28(1):233-240.(in Chinese) [4] Saussie D,Saydy L,Akhrif O,et al.Gain scheduling with guardian maps for longitudinal flight control[J].Journal of Guidance Control and Dynamics,2011,34(4):1045-1059. [5] Clement B,Duc G.An interpolation method for gain-scheduling[C]//Proceedings of the 40th IEEE Conference on Decision and Control.Orlando,FL:IEEE,2001:1310-1315. [6] 张增辉,杨凌宇,申功璋.高超声速飞行器大包线切换LPV控制方法研究[J].航空学报,2012,33(9):1-9. ZHANG Zenghui,YANG Lingyu,SHEN Gongzhang.Switching LPV control method in wide envelope for hypersonic vehicles[J].Acta Aeronautica et Astronautica Sinica,2012,33(9):1-9.(in Chinese) [7] Saussie D,Saydy L,Akhrif O.Flight control design with robustness and handling qualities requirements[C]//Proceedings of Canadian Conference on Electrical and Computer Engineering.Montreal,Canada:IEEE,2003:1749-1752. [8] Dubanchet V,Saussie D,Berard C,et al.Robust control of a launch vehicle in atmospheric ascent based on guardian maps[C]//Proceedings of the 2012 American Control Conference.Piscataway, NJ,USA:IEEE,2012:938-943. [9] Patrick J,Mohamad S,Azeddine K.Application of robust design of a PI controller using guardian maps[C]//Proceedings of the 2009 Canadian Conference on Electrical and Computer Engineering.Piscataway,NJ,USA:IEEE,2009:1163-1166. [10] Saussie D,Saydy L,Akhrif O.Longitudinal flight control design with handling quality requirements[J].Aeronautical Journal,2006,110(1111):627-637. [11] Saussie D,Akhrif O,Saydy L.Aircraft pitch rate control design with guardian maps[C]//Proceedings of the 18th Mediterranean Conference on Control and Automation.Marrakech,Morocco:IEEE,2010:1473-1478. [12] Liu Y,Liu M,Sun P.Robust stabilization control based on guardian maps theory for a longitudinal model of hypersonic vehicle[J].Scientific World Journal,2014,2014(1):95-104. [13] Saussie D,Akhrif O,Saydy L.Robust and scheduled longitudinal flight control design with handling quality requirements[R].AIAA-2005-5978,2005. [14] Saydy L,Andre L T,Eyad H A,Guardian maps and the generalized stability of parametrized families of matrices and polynomials[J].Mathematics of Control Signals and Systems,1990,3(4):345-371. [15] Saussie D,Akhrif O,Caroline B,et al.Longitudinal flight control synthesis with guardian maps[R].AIAA-2009-5988,2009. [16] 李臣亮,刘燕斌,彭福军,等.基于保护映射理论的控制系统自适应调参算法[J].信息与控制,2014,43(2):193-198,204. LI Chenliang,LIU Yanbin,PENG Fujun,et al.Adaptive parameter regulation algorithm with guardian maps for the control systems[J].Information and Control,2014,43(2):193-198,204.(in Chinese) [17] Hou Y Z,Wang Q,Dong C Y.Gain scheduled control:Switched polytopic system approach[J].Journal of Guidance Control and Dynamics,2011,34(2):623-629. [18] Saydy L,Akhrif O,Zhu G C.Handling quality characterization of flight system controller gains[C]//Proceedings of the 7th IEEE International Conference on Electronics Circuits and Systems.Piscataway,NJ,USA:IEEE,2000:721-724.
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