Robust Suboptimal Guaranteed Cost Control for 2-D Discrete Systems Described by Fornasini-Marchesini First Model

• 作者: Amit Dhawan Manish Tiwari
• 来源期刊: 信号与信息处理(英文)
• 学科: 工学
• 关键词: Guaranteed Cost Control Linear Matrix INEQUALITY LYAPUNOV Methods ROBUST Stability 2-D Discrete SYSTEMS UNCERTAIN SYSTEMS
• 年，卷（期）: 2012,（2）
• 页码范围: 252-258
• 页数: 7页
• 分类号: TP1

摘要

This paper considers the guaranteed cost control problem for a class of two-dimensional (2-D) uncertain discrete systems described by the Fornasini-Marchesini (FM) first model with norm-bounded uncertainties. New linear matrix inequality (LMI) based characterizations are presented for the existence of static-state feedback guaranteed cost controller which guarantees not only the asymptotic stability of closed loop systems, but also an adequate performance bound over all the admissible parameter uncertainties. Moreover, a convex optimization problem is formulated to select the suboptimal guaranteed cost controller which minimizes the upper bound of the closed-loop cost function.