The problem of optimal guaranteed cost control for discrete-time singular large-scale systems with a quadratic cost function is considered in this paper. The system under discussion is subject to norm bounded time-inv...The problem of optimal guaranteed cost control for discrete-time singular large-scale systems with a quadratic cost function is considered in this paper. The system under discussion is subject to norm bounded time-invariant parameter uncertainty in all the matrices of model. The problem we address is to design a state feedback controller such that the closed-loop system not only is robustly stable but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of guaranteed cost controllers is presented in terms of linear matrix inequalities (LMIs), and a desired state feedback controller is obtained via convex optimization. An illustrative example is given to demonstrate the effectiveness of the proposed approach.展开更多
美国A V Oppenbeim和R.W.Schafer合著的《Digital Signal Processing》一书(已有中译本,由董士嘉、杨耀增译,茅于海等校,1980年科学出版社出版)是在数字信号处理方面国际上享有盛誉的一部名著。本书自1975年出版以来,曾多年被美国不少...美国A V Oppenbeim和R.W.Schafer合著的《Digital Signal Processing》一书(已有中译本,由董士嘉、杨耀增译,茅于海等校,1980年科学出版社出版)是在数字信号处理方面国际上享有盛誉的一部名著。本书自1975年出版以来,曾多年被美国不少有名大学用作高年级学生和一年级研究生的教材。展开更多
文摘The problem of optimal guaranteed cost control for discrete-time singular large-scale systems with a quadratic cost function is considered in this paper. The system under discussion is subject to norm bounded time-invariant parameter uncertainty in all the matrices of model. The problem we address is to design a state feedback controller such that the closed-loop system not only is robustly stable but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of guaranteed cost controllers is presented in terms of linear matrix inequalities (LMIs), and a desired state feedback controller is obtained via convex optimization. An illustrative example is given to demonstrate the effectiveness of the proposed approach.
文摘美国A V Oppenbeim和R.W.Schafer合著的《Digital Signal Processing》一书(已有中译本,由董士嘉、杨耀增译,茅于海等校,1980年科学出版社出版)是在数字信号处理方面国际上享有盛誉的一部名著。本书自1975年出版以来,曾多年被美国不少有名大学用作高年级学生和一年级研究生的教材。
