An undecomposed approach to control design for a class of nonlinear descriptor systems

作者：Sun, Liying^*; Wang, Yuzhen

来源：International Journal of Robust and Nonlinear Control, 2013, 23(6): 695-708.

DOI：10.1002/rnc.2790

• nonlinear descriptor systems
• state undecomposed
• stabilization
• H control
• robust adaptive control

This paper studies control designs for a class of nonlinear descriptor systems under state undecomposed status and presents a number of new results on the stabilization, H control, and robust adaptive control. It is shown that under a suitable state feedback, two sufficient conditions of impulse-free can be established for the resulted closed-loop system. Using the established conditions, the stabilization problem is then discussed for the nonlinear descriptor system, and a stabilization control design procedure is presented; on the basis of which, an admissible H controller and an admissible robust adaptive controller are designed for the system with external disturbances and/or parametric uncertainties. Simulation results on a nonlinear descriptor circuit system show the efficiency of the controllers proposed in this paper.

• 出版日期2013-4
• 单位山东大学; 济南大学