Local Smooth Stabilizability of 2-dimension Nonlinear Control Systemsin Critical Cases
This paper studies the local smooth stabilizability of the 2-dimension nonlinear control system, which possesses a pair of conjugated imaginary eigenvalues. The system is firstly transformed to a standard formula by the non-singularity linear coordinate transformation and the time scale transformation as well. Next, the approaches for determining smooth control law and Lyapunov function of the closed loop system are provided by the construction of several sets of linear equations based on the expanded canonical discriminant function and the formal progression method. Finally, a sufficient condition of the local smooth stabilizability to the system is obtained, the validity of which is shown by an example.
nonlinear control systems critical case Lyapunov function local stabilizability
NI Yu-dong FEI Shu-min SHEN Yin-dong
Hefei University of Technology, Hefei, 230009, China Key Laboratory of Measurement and Control of CS Key Laboratory of Measurement and Control of CSE, Ministry of EducationSchool of Automation, Southea Huazhong University of Science and Technology, Wuhan, 430074, China
国际会议
2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)
广西桂林
英文
819-823
2009-06-17（万方平台首次上网日期，不代表论文的发表时间）