CONTROL OF ENERGY EFFICIENCY IN INDUSTRY AND HOUSING AND COMMUNAL SERVICES
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UDC 681.5
An adaptive polyzonal control method in ordinal scales for energotechnological objects
E.V. Vstavskaya, South Ural State University, Chelyabinsk, Russian Federation, elena_vstavskaya@mail.ru
L.S. Kazarinov, South Ural State University, Chelyabinsk, Russian Federation, kazarinov@ait.susu.ac.ru
Abstract
An adaptive polyzonal control method in ordinal scales for energotechnological objects is considered. The method is based on using ordinal scales for quality estimation of the object output characteristics. Discriminant functions are used for quality grades estimation which determine the corresponding output characteristics domains. A discriminant functions identification algorithm based on object operation data is offered. Robust solution of identification problem is achieved using a regularization method based on minimizing the deviation norm of the estimates of disctiminant function parameters from its nominal values. Solving for optimum values of work-process parameters is based on successive solutions of two subproblems. At the first stage a construction problem of efficient work-process parameters values domain in ordinal scales is solved. The problem is brought to determination of maximum consistent inequalities set of discriminant functions. At the second stage optimum values of work-process parameters are determined using minimum energy consumption criterion. As a whole, a non-stationary on-line decision-making problem for energotechnological objects with variable parameters using the above-considered subproblems is solved.
Keywords
adaptive polyzonal control, ordinal scales, discriminant function, energotechnological object, quality estimation
References
1. Glushkov V.M. About Dialog Method of Optimization Tasks Decision Method [O dialogovom metode resheniya optimizatsionnykh zadach]. Cybernetics [Kibernetika], 1975, no.4, pp. 2–6.
2. Mikhalevich V.S., Volkovich V.L. Computing Methods of Complex Systems Research and Design [Vychislitelnye metody issledovaniya i proektirovaniya slozhnykh sistem]. Moscow, Science [Nauka], 1982. 288 p.
3. Eremin I.I. About Non-joint Systems of Linear Inequalities [O nesovmestnimykh sistemakh lineinykh neravenstv]. Reports of Science Academy USSR [Doklady Akademii Nauk SSSR], 1961, t. 138, no. 6, pp. 1280–1283.
4. Mazurov V.D. About the Creation of Convex Inequalities System Committee [O postroenii komiteta sistemy vypuklykh neravenstv]. Cybernetics [Kibernetika], 1967, no.2, pp. 56–59.
5. Eremin I.I., Mazurov V.D. Non-stationary Processes of Mathematical Programming [Nestatsionarnye protsessy matematicheskogo programmirovaniya]. Moscow, Science [Nauka], 1979. 288 p.
6. Ablow C.M., Kaylor D.J. Inconsistent Homogeneous Linear Inequalities. Bulletin of American Mathematical Society, 1965, 71, no.1, p. 724.
7. Rasstrigin L.A., Erenstain R.H. Collective Recognition Method [Metod kollektivnogo raspoznavaniya]. Moscow, Energoatomizdat, 1981. 80 p.
8. Yakubovich V.A. Recurrent Final-Meeting Algorithms of the Inequalities Systems Decision [Rekurrentnye konechno-skhodyaschiesya algoritmy resheniya system neravenstv]. Reports AN USSR [Doklady Akademii Nauk SSSR], 1966, t. 166, no. 6, pp. 1308–1311.
9. Yakubovich V.A. For the Adaptive Systems Theory [K teorii adaptivnykh sistem]. Reports AN USSR [Doklady Akademii Nauk SSSR], 1968, t. 182, no.3, pp. 518–521.
10. Kazarinov L.S., Bordetskiy A.B. Optimization Algorithm for Problems of Design at the Inconsistent Specification [Algoritm optimizatsii dlya zadach proektirovaniya pri protivorechivom tekhnicheskom zadanii]. Information and control elements and systems. CPI transactions [Informatsionnye i upravlyauschie elementy i sistemy, Trudy CHPI]. Chelyabinsk, 1979, no. 231, pp. 27–31.
11. Kazarinov L.S., Bordetskiy A.B. About Determination of Weighed Inequalities System Committee [Ob opredelenii komiteta sistemy vzveshennykh neravenstv]. Cybernetics [Kibernetika], 1981, no. 5, pp. 44–48.
12. Kazarinov L.S. Nonstationary Processes of Complex Systems Design [Nestatsionarnye protsessy sinteza slozhnykh sistem]. Irkutsk, ISU [IGU], 1985. 88 p.
13. Kazarinov L.S. System Research and Control / Cognitive Approach: scientific and methodical grant [Sistemnye issledovaniya i upravlenie / kognitivnyi podhod/: nauchno-metodicheskoe posobie]. Chelyabinsk, Publ. center SUSU: Publisher T. Lourie [Izdatelskiy tsentr YUUrGU: izdatel T. Lurie], 2011. 524 p.
14. Vstavskaya E.V., Kazarinov L.S. Committee Method of Technological Processes Settings in Ordinal Scales // Thematic collection of scientific works [Komitetnyi metod nastroiki tekhnologicheskikh protsessov v poryadkovykh shkalakh, Tematicheskiy sbornik nauchnykh trudov]. Chelyabinsk: Publ. center SUSU [Izdatelskiy tsentr YuUrGU], 2002, pp. 117–120.
15. Vstavskaya E.V., Kazarinov L.S. A Distributed Objects Adaptive Lighting Control Method [Metod adaptivnogo upravleniya osvescheniem raspredelennyh ob’ektov], Bulletin of the South Ural State University. Series “Computer Technologies, Automatic Control & Radio electronics”, 2012, vol. 16, no. 23 (282), pp. 70–75. (in Russian)
2. Mikhalevich V.S., Volkovich V.L. Computing Methods of Complex Systems Research and Design [Vychislitelnye metody issledovaniya i proektirovaniya slozhnykh sistem]. Moscow, Science [Nauka], 1982. 288 p.
3. Eremin I.I. About Non-joint Systems of Linear Inequalities [O nesovmestnimykh sistemakh lineinykh neravenstv]. Reports of Science Academy USSR [Doklady Akademii Nauk SSSR], 1961, t. 138, no. 6, pp. 1280–1283.
4. Mazurov V.D. About the Creation of Convex Inequalities System Committee [O postroenii komiteta sistemy vypuklykh neravenstv]. Cybernetics [Kibernetika], 1967, no.2, pp. 56–59.
5. Eremin I.I., Mazurov V.D. Non-stationary Processes of Mathematical Programming [Nestatsionarnye protsessy matematicheskogo programmirovaniya]. Moscow, Science [Nauka], 1979. 288 p.
6. Ablow C.M., Kaylor D.J. Inconsistent Homogeneous Linear Inequalities. Bulletin of American Mathematical Society, 1965, 71, no.1, p. 724.
7. Rasstrigin L.A., Erenstain R.H. Collective Recognition Method [Metod kollektivnogo raspoznavaniya]. Moscow, Energoatomizdat, 1981. 80 p.
8. Yakubovich V.A. Recurrent Final-Meeting Algorithms of the Inequalities Systems Decision [Rekurrentnye konechno-skhodyaschiesya algoritmy resheniya system neravenstv]. Reports AN USSR [Doklady Akademii Nauk SSSR], 1966, t. 166, no. 6, pp. 1308–1311.
9. Yakubovich V.A. For the Adaptive Systems Theory [K teorii adaptivnykh sistem]. Reports AN USSR [Doklady Akademii Nauk SSSR], 1968, t. 182, no.3, pp. 518–521.
10. Kazarinov L.S., Bordetskiy A.B. Optimization Algorithm for Problems of Design at the Inconsistent Specification [Algoritm optimizatsii dlya zadach proektirovaniya pri protivorechivom tekhnicheskom zadanii]. Information and control elements and systems. CPI transactions [Informatsionnye i upravlyauschie elementy i sistemy, Trudy CHPI]. Chelyabinsk, 1979, no. 231, pp. 27–31.
11. Kazarinov L.S., Bordetskiy A.B. About Determination of Weighed Inequalities System Committee [Ob opredelenii komiteta sistemy vzveshennykh neravenstv]. Cybernetics [Kibernetika], 1981, no. 5, pp. 44–48.
12. Kazarinov L.S. Nonstationary Processes of Complex Systems Design [Nestatsionarnye protsessy sinteza slozhnykh sistem]. Irkutsk, ISU [IGU], 1985. 88 p.
13. Kazarinov L.S. System Research and Control / Cognitive Approach: scientific and methodical grant [Sistemnye issledovaniya i upravlenie / kognitivnyi podhod/: nauchno-metodicheskoe posobie]. Chelyabinsk, Publ. center SUSU: Publisher T. Lourie [Izdatelskiy tsentr YUUrGU: izdatel T. Lurie], 2011. 524 p.
14. Vstavskaya E.V., Kazarinov L.S. Committee Method of Technological Processes Settings in Ordinal Scales // Thematic collection of scientific works [Komitetnyi metod nastroiki tekhnologicheskikh protsessov v poryadkovykh shkalakh, Tematicheskiy sbornik nauchnykh trudov]. Chelyabinsk: Publ. center SUSU [Izdatelskiy tsentr YuUrGU], 2002, pp. 117–120.
15. Vstavskaya E.V., Kazarinov L.S. A Distributed Objects Adaptive Lighting Control Method [Metod adaptivnogo upravleniya osvescheniem raspredelennyh ob’ektov], Bulletin of the South Ural State University. Series “Computer Technologies, Automatic Control & Radio electronics”, 2012, vol. 16, no. 23 (282), pp. 70–75. (in Russian)
Source
Bulletin of the South Ural State University. Ser. Computer Technologies, Automatic Control, Radio Electronics, 2013, vol. 13, no. 4, pp. 94-102. (in Russ.) (The main)