Interval observer design for switched systems by linear programming method

Author(s):  
Xiang Ma ◽  
Jun Huang ◽  
Liang Chen
2020 ◽  
Vol 53 (7-8) ◽  
pp. 1388-1394
Author(s):  
Fei Sun ◽  
Jun Huang ◽  
Xiang Ma ◽  
Xiao Wen

This paper deals with the finite-time interval observer design method for discrete-time switched systems subjected to disturbances. The disturbances of the system are unknown but bounded. The framework of the finite-time interval observer is established and the sufficient conditions are derived by the multiple linear copositive Lyapunov function. Furthermore, the conditions which are expressed by the forms of linear programming are numerically tractable by standard computing software. One example is simulated to illustrate the validity of the designed observer.


2019 ◽  
Vol 6 (04) ◽  
Author(s):  
ASHUTOSH UPADHYAYA

A study was undertaken in Bhagwanpur distributary of Vaishali Branch Canal in Gandak Canal Command Area, Bihar to optimally allocate land area under different crops (rice and maize in kharif, wheat, lentil, potato in rabi and green gram in summer) in such a manner that maximizes net return, maximizes crop production and minimizes labour requirement employing simplex linear programming method and Multi-Objective Fuzzy Linear Programming (MOFLP) method. Maximum net return, maximum agricultural production, and minimum labour required under defined constraints (including 10% affinity level of farmers to rice and wheat crops) as obtained employing Simplex method were ` 3.7 × 108, 5.06 × 107 Kg and 66,092 man-days, respectively, whereas Multi-Objective Fuzzy Linear Programming (MOFLP) method yielded compromised solution with net return, crop production and labour required as ` 2.4 × 108, 3.3 × 107Kg and 1,79,313 man-days, respectively. As the affinity level of farmers to rice and wheat crops increased from 10% to 40%, maximum net return and maximum production as obtained from simplex linear programming method and MOFLP followed a decreasing trend and minimum labour required followed an increasing trend. MOFLP may be considered as one of the best capable ways of providing a compromised solution, which can fulfill all the objectives at a time.


2017 ◽  
Vol 51 (22) ◽  
pp. 13086-13094 ◽  
Author(s):  
Hajime Ohno ◽  
Kazuyo Matsubae ◽  
Kenichi Nakajima ◽  
Yasushi Kondo ◽  
Shinichiro Nakamura ◽  
...  

Author(s):  
Tayisa Vozniuk ◽  
Olga Mazur

In this article reveals an example of forecasting the volumes of sales goods through ways of implement optimization analysis, that is by linear programming method. For example, volume of production goods for realization her consumers no must to exceed of determined out maximum or to be lower by minimum, what can to foreseeing in this task. For decision tasks of linear programming with a large number of variables and constraints, decomposition methods are used, which allow instead of the original problem to solve tasks of little volume. In general methodology of linear programming together with simplex-method is considered on the example Nemyriv bakery, where determined out profit on unit bakery products, obtained through the optimal ratio of material resources and costs incurred. In analysis and treatment of economic activities the each enterprises, particularly at composition forecast as to volumes of sales goods with aim of receiving profit, linear programming maybe successfully used out for decision tasks with optimization of development and organization trade processes upon regarding the sale of its products. With point of view management a tasks of linear programming – this tasks of optimal using resources. In each event planning of production goods necessity have on attention, which different productions resources (workforce, raw, materials, means of production) are limited, and also which known norm of costs these resources on different kinds goods, or possible are multiples variants to separating production resources. In our work, we ascertained that in analysis, compliance is checked of demand for bakery products to stocks of most-important kinds raw and materials together with costs as most important conditions for receive profit on enterprises and avoiding of excessive and unforeseen losses. With aim of rise efficiency of enterprises activities necessary and further to look at question of renewing assortment goods and increase quality her, increasing volumes of production, maximum of loading production powers equipment, efficiency using of available resources.


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