Practical Stabilization for Uncertain Pseudo-Linear and Pseudo-Quadratic MIMO Systems

• 作者: Laura Celentano
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: PRACTICAL STABILIZATION LINEAR and Nonlinear UNCERTAIN Systems Pseudo-Quadratic MIMO UNCERTAIN System Lyapunov Approach
• 年，卷（期）: 2013,（1）
• 页码范围: 34-42
• 页数: 9页
• 分类号: O1

摘要

In this paper the problem of practical stabilization for a significant class of MIMO uncertain pseudo-linear and pseudo-quadratic systems, with additional bounded nonlinearities and/or bounded disturbances, is considered. By using the concept of majorant system, via Lyapunov approach, new fundamental theorems, from which derive explicit formulas to design state feedback control laws, with a possible imperfect compensation of nonlinearities and disturbances, are stated. These results guarantee a specified convergence velocity of the linearized system of the majorant system and a desired steady-state output for generic uncertainties and/or generic bounded nonlinearities and/or bounded disturbances.