Constructive Stabilization for a Class of Switched Nonlinear Systems in Non-Triangular Form
This paper investigates the problem of global stabilization of switched nonlinear systems in non-triangular form whose subsystems are not assumed to be asymptotically stabilizable when applying backstepping. The use of multiple Lyapunov functions (MLFs) method permits removal of a common restriction in which the nonlinear structures in the non-switched nonlinear systems are restricted to a triangular structure when applying backstepping. Using the MLFs method and the adding a power integrator technique, we design state-feedback controllers for individual subsystems and construct a switching law to guarantee asymptotic stability of the closed-loop switched system. An example is provided to demonstrate the effectiveness of the proposed design method.
Backstepping Stabilization Non-triangular structure Switched nonlinear systems Multiple Lyapunov functions
LONG Lijun ZHAO Jun
State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110819, P. R. China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
408-413
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）