Stabilizing Control Design for a Class of High-order Nonlinear Systems with Unknown but Identical Control Coe±cients

2007 ◽  
Vol 33 (3) ◽  
pp. 0331 ◽  
Author(s):  
Zong-Yao SUN
Keyword(s):  
Nonlinear Systems ◽  
Control Design ◽  
High Order ◽  
Stabilizing Control

scholarly journals Full-State Linearization and Stabilization of SISO Markovian Jump Nonlinear Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
Zhongwei Lin ◽  
Jizhen Liu ◽  
Yuguang Niu
Keyword(s):  
Nonlinear Systems ◽  
Control Design ◽  
Relative Degree ◽  
Backstepping Technique ◽  
Markovian Jump ◽  
Design Problems ◽  
Stabilizing Control ◽  
Full State ◽  
Degree Set ◽  
Coordinate Changes

This paper investigates the linearization and stabilizing control design problems for a class of SISO Markovian jump nonlinear systems. According to the proposed relative degree set definition, the system can be transformed into the canonical form through the appropriate coordinate changes followed with the Markovian switchings; that is, the system can be full-state linearized in every jump mode with respect to the relative degree setn,…,n. Then, a stabilizing control is designed through applying the backstepping technique, which guarantees the asymptotic stability of Markovian jump nonlinear systems. A numerical example is presented to illustrate the effectiveness of our results.

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