论文信息 - Robust Gradient-Like Property and Controller Design for Uncertain Pendulum-Like Systems

Robust Gradient-Like Property and Controller Design for Uncertain Pendulum-Like Systems

Abstract.In this paper the gradient-like behavior for the pendulum-like systems with additive, multiplicative, and H∞ uncertainties is analyzed. Then some conditions ensuring existence of controllers for uncertain pendulum-like systems are given. The corresponding controller design problem is transformed into H∞ control problem. Two examples are given to illustrate the effectiveness of the method.

[1] Tetsuya Iwasaki,et al. All controllers for the general H∞ control problem: LMI existence conditions and state space formulas , 1994, Autom..

[2] David J. N. Limebeer,et al. Linear Robust Control , 1994 .

[3] Lin Huang,et al. H∞ controller synthesis for pendulum-like systems , 2003, Syst. Control. Lett..

[4] B. Anderson. A SYSTEM THEORY CRITERION FOR POSITIVE REAL MATRICES , 1967 .

[5] G. Leonov,et al. Frequency Methods in Oscillation Theory , 1995 .

[6] T. Başar. Absolute Stability of Nonlinear Systems of Automatic Control , 2001 .

[7] J. Doyle,et al. Essentials of Robust Control , 1997 .

[8] G. Leonov,et al. Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications , 1996 .

[9] Lin Huang,et al. Design of controller for a class of pendulum-like system guaranteeing dichotomy , 2004, Autom..