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Design of Continuous and Discrete LQI Control Systems with Stable Inner Loops
作者姓名:冯正平  朱继懋  Robert Allen
作者单位:School of Naval Architecture Ocean and Civil Eng. Shanghai Jiaotong Univ.,School of Naval Architecture Ocean and Civil Eng. Shanghai Jiaotong Univ.,Inst. of Sound and Vibration Research Univ. of Southampton Southampton SO17 1BJ United Kingdom,Shanghai 200240 China,Shanghai 200240 China
基金项目:国家高技术研究发展计划(863计划)
摘    要:Design approaches were proposed for both continuous and discrete LQI (linear quadratic with integral) controllers, if exist, to stabilize the inner loops in addition to stabilizing the closed loops and minimizing the quadratic cost functionals. Derived from the algebraic Riccati equations involved in continuous and discrete LQI control, the design approaches were straightforward obtained by setting the quadratic cost functionals to decoupled forms with positive definite weighting matrices. Examples were provided to verify the effectiveness of the approaches.


Design of Continuous and Discrete LQI Control Systems with Stable Inner Loops
FENG Zheng-ping,ZHU Ji-mao,Robert Allen,.Design of Continuous and Discrete LQI Control Systems with Stable Inner Loops[J].Journal of Shanghai Jiaotong university,2007,12(6):787-792.
Authors:FENG Zheng-ping  ZHU Ji-mao  Robert Allen  
Abstract:Design approaches were proposed for both continuous and discrete LQI (linear quadratic with integral) controllers, if exist, to stabilize the inner loops in addition to stabilizing the closed loops and minimizing the quadratic cost functionals. Derived from the algebraic Riccati equations involved in continuous and discrete LQI control, the design approaches were straightforward obtained by setting the quadratic cost functionals to decoupled forms with positive definite weighting matrices. Examples were provided to verify the effectiveness of the approaches.
Keywords:linear quadratic with integral  algebraic Riccati equations  positive definiteness  Lyapunov stability
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