A novel approach to L 1 -induced controller synthesis for positive systems with interval uncertainties

2017 ◽  
Vol 354 (8) ◽  
pp. 3364-3377 ◽  
Author(s):  
Xiaoming Chen ◽  
Mou Chen ◽  
Jun Shen
Keyword(s):  
Controller Synthesis ◽  
Positive Systems ◽  
Novel Approach ◽  
Interval Uncertainties

Robust stability analysis and controller synthesis for uncertain impulsive positive systems under L1-gain performance

2019 ◽  
Vol 93 ◽  
pp. 55-69 ◽  
Author(s):  
Baolong Zhu ◽  
Jie Zhang ◽  
Mingliang Suo ◽  
Liangming Chen ◽  
Yanquan Zhang ◽  
...  
Keyword(s):  
Stability Analysis ◽  
Robust Stability ◽  
Controller Synthesis ◽  
Positive Systems ◽  
Robust Stability Analysis

A novel approach of reliability-based topology optimization for continuum structures under interval uncertainties

2019 ◽  
Vol 25 (9) ◽  
pp. 1455-1474 ◽  
Author(s):  
Lei Wang ◽  
Haijun Xia ◽  
Yaowen Yang ◽  
Yiru Cai ◽  
Zhiping Qiu
Keyword(s):  
Topology Optimization ◽  
Reliability Index ◽  
Large Scale ◽  
Optimization Problems ◽  
Uncertainty Propagation ◽  
Content Type ◽  
Continuum Structures ◽  
Novel Approach ◽  
Design Variables ◽  
Interval Uncertainties

Purpose The purpose of this paper is to propose a novel non-probabilistic reliability-based topology optimization (NRBTO) method for continuum structural design under interval uncertainties of load and material parameters based on the technology of 3D printing or additive manufacturing. Design/methodology/approach First, the uncertainty quantification analysis is accomplished by interval Taylor extension to determine boundary rules of concerned displacement responses. Based on the interval interference theory, a novel reliability index, named as the optimization feature distance, is then introduced to construct non-probabilistic reliability constraints. To circumvent convergence difficulties in solving large-scale variable optimization problems, the gradient-based method of moving asymptotes is also used, in which the sensitivity expressions of the present reliability measurements with respect to design variables are deduced by combination of the adjoint vector scheme and interval mathematics. Findings The main findings of this paper should lie in that new non-probabilistic reliability index, i.e. the optimization feature distance which is defined and further incorporated in continuum topology optimization issues. Besides, a novel concurrent design strategy under consideration of macro-micro integration is presented by using the developed RBTO methodology. Originality/value Uncertainty propagation analysis based on the interval Taylor extension method is conducted. Novel reliability index of the optimization feature distance is defined. Expressions of the adjoint vectors between interval bounds of displacement responses and the relative density are deduced. New NRBTO method subjected to continuum structures is developed and further solved by MMA algorithms.

-induced norm and controller synthesis of positive systems

Automatica ◽  
2013 ◽  
Vol 49 (5) ◽  
pp. 1377-1385 ◽  
Author(s):  
Xiaoming Chen ◽  
James Lam ◽  
Ping Li ◽  
Zhan Shu
Keyword(s):  
Controller Synthesis ◽  
Positive Systems
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