不确定性高通量筛选系统的双子代数控制
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摘要
近年来,对于高通量筛选系统的控制,在确定性情形下已进行了不少工作,其中,双子代数框架下的控制策略执行相对更灵活,效率更高.然而,现有的输出反馈优化控制对性能指标期望系统行为还有特殊的构造要求须满足;而且,实际运行中存在有人工干预、设备维护、意外干扰、故障等带来的不确定性.对这两者考虑的缺失限制了目前高通量筛选系统自动控制的效率.为进一步提高这类新兴离散事件系统的控制效率,基于区间双子代数,将该输出反馈控制结构拓展到系统参数不确定的高通量筛选系统,使之对不确定性高通量筛选系统能自动产生优化控制.继而,将输出反馈与预处理补偿相结合.后者对指标的构造并无特殊要求.综合后的控制结构亦避免了原反馈结构下对性能指标构造的限制.最后通过不同实例说明了对不确定性高通量筛选系统应用该控制结构的方法和有效性.
In recent years, a lot of work has been done on control of high throughput screening systems(HTS) under certainty, among which, the implementation of control strategy under the framework of dioid is relatively more flexible and more efficient. However, for such output feedback optimal control strategy, a special structural requirement for the desired system behaviour still must be fulfilled; furthermore, in practice, there are uncertainties resulted from manual intervention,equipment maintenance, unexpected disturbance and fault. Lack of considerations of both restricts the efficiency of HTS automatic control. To further improve the control efficiency for this new class of discrete event systems, based on the corresponding interval dioid, the output feedback control structure is extended to HTS systems with parametric uncertainties, so that the optimal control can be automatically generated for HTS under uncertainty. The output feedback is then combined with a pre-compensator. For the latter, the structural restriction for the desired system behaviour is not necessary.And the synthesized control structure also avoids such restriction. Finally, different examples are given to demonstrate the application of the synthesized control structure and its effectiveness for HTS systems with uncertainties.
In recent years, a lot of work has been done on control of high throughput screening systems(HTS) under certainty, among which, the implementation of control strategy under the framework of dioid is relatively more flexible and more efficient. However, for such output feedback optimal control strategy, a special structural requirement for the desired system behaviour still must be fulfilled; furthermore, in practice, there are uncertainties resulted from manual intervention,equipment maintenance, unexpected disturbance and fault. Lack of considerations of both restricts the efficiency of HTS automatic control. To further improve the control efficiency for this new class of discrete event systems, based on the corresponding interval dioid, the output feedback control structure is extended to HTS systems with parametric uncertainties, so that the optimal control can be automatically generated for HTS under uncertainty. The output feedback is then combined with a pre-compensator. For the latter, the structural restriction for the desired system behaviour is not necessary.And the synthesized control structure also avoids such restriction. Finally, different examples are given to demonstrate the application of the synthesized control structure and its effectiveness for HTS systems with uncertainties.
引文
[1] MAYER E, RAISCH J. Time-optimal scheduling for high throughput screening processes using cyclic discrete event models. Mathematics&Computers in Simulation, 2004, 66(2/3):181–191.
[2] GEYER F. Analyse und optimierung zyklischer ereignisdiskreter systeme mit reihenfolgealternativen. Germany:Otto-von-GuerickeUniversit?t Magdeburg, 2004.
[3] LI D. A Hierarchical Control Structure for a Class of Timed Discrete Event Systems. Berlin:Fachgebiet Regelungssysteme, Technische Universit?t Berlin, 2008.
[4] BRUNSCH T, RAISCH J, HARDOUIN L. Modeling and control of high-throughput screening systems. Engineering Applications of Artificial Intelligence, 2012, 20(1):14–23.
[5] SHANG Y, HARDOUIN L, LHOMMEAU M, et al. An integrated control strategy in disturbance decoupling of max-plus linear systems with applications to a high throughput screening system in drug discovery. 2014 IEEE 53rd Annual Conference on Decision and Control(CDC). New York:IEEE, 2014:5143–5148.
[6] SHANG Y, HARDOUIN L, LHOMMEAU M, et al. An integrated control strategy to solve the disturbance decoupling problem for maxplus linear systems with applications to a high throughput screening system. Automatica, 2016, 63(C):338–348.
[7] SHANG Y, HARDOUIN L, LHOMMEAU M, et al. Robust controllers in disturbance decoupling of uncertain max-plus linear systems:an application to a high throughput screening system for drug discovery. 2016 the 13th International Workshop on Discrete Event Systems(WODES). New York:IEEE, 2016:404–409.
[8] HARDOUIN L, BOUTIN O, COTTENCEAU B, et al. Discrete-event systems in a dioid framework:control theory//Control of DiscreteEvent Systems. London:Springer, 2013.
[9] BRUNSCH T, RAISCH J, HARDOUIN L, et al. Discrete-event systems in a dioid framework:modeling and analysis//Control of Discrete-Event Systems. London:Springer, 2013.
[10] LI Danjing. Dioid-based modeling of high throughput screening systems. Control Theory&Applications, 2017, 34(5):619–626.(李丹菁.高通量筛选系统的双子代数建模.控制理论与应用, 2017,34(5):619–626.)
[11] LI Danjing. Dioid-based optimal control for high throughput screening systems. Control Decision, 2017, 32(9):1681–1688.(李丹菁.基于双子代数的高通量筛选系统优化控制.控制与决策,2017, 32(9):1681–1688.)
[12] LHOMMEAU M, HARDOUIN L, COTTENCEAU B, et al. Interval analysis and dioid:application to robust controller design for timed event graphs. Automatica, 2004, 40(11):1923–1930.
[13] COTTENCCEAU B, HARDOUIN L, BOIMOND J L, et al. Model reference control for timed event graphs in dioids. Automatica, 2001,37(9):1451–1458.
[14] BLYTH T S, JANOWITZ M F. Residuation Theory. Oxford:Pergamon Press, 1972.
[15] BACCELLI F, COHEN G, OLSDER G J, et al. Synchronization and Linearity, An Algebra for Discrete Event Systems. New York:John Wiley and Sons, 1992.
[16] LITVINOV G L, SOBOLEVSKI A N. Idempotent interval analysis and optimization problems. Reliable Computing, 2001, 7(5):353–377.
[2] GEYER F. Analyse und optimierung zyklischer ereignisdiskreter systeme mit reihenfolgealternativen. Germany:Otto-von-GuerickeUniversit?t Magdeburg, 2004.
[3] LI D. A Hierarchical Control Structure for a Class of Timed Discrete Event Systems. Berlin:Fachgebiet Regelungssysteme, Technische Universit?t Berlin, 2008.
[4] BRUNSCH T, RAISCH J, HARDOUIN L. Modeling and control of high-throughput screening systems. Engineering Applications of Artificial Intelligence, 2012, 20(1):14–23.
[5] SHANG Y, HARDOUIN L, LHOMMEAU M, et al. An integrated control strategy in disturbance decoupling of max-plus linear systems with applications to a high throughput screening system in drug discovery. 2014 IEEE 53rd Annual Conference on Decision and Control(CDC). New York:IEEE, 2014:5143–5148.
[6] SHANG Y, HARDOUIN L, LHOMMEAU M, et al. An integrated control strategy to solve the disturbance decoupling problem for maxplus linear systems with applications to a high throughput screening system. Automatica, 2016, 63(C):338–348.
[7] SHANG Y, HARDOUIN L, LHOMMEAU M, et al. Robust controllers in disturbance decoupling of uncertain max-plus linear systems:an application to a high throughput screening system for drug discovery. 2016 the 13th International Workshop on Discrete Event Systems(WODES). New York:IEEE, 2016:404–409.
[8] HARDOUIN L, BOUTIN O, COTTENCEAU B, et al. Discrete-event systems in a dioid framework:control theory//Control of DiscreteEvent Systems. London:Springer, 2013.
[9] BRUNSCH T, RAISCH J, HARDOUIN L, et al. Discrete-event systems in a dioid framework:modeling and analysis//Control of Discrete-Event Systems. London:Springer, 2013.
[10] LI Danjing. Dioid-based modeling of high throughput screening systems. Control Theory&Applications, 2017, 34(5):619–626.(李丹菁.高通量筛选系统的双子代数建模.控制理论与应用, 2017,34(5):619–626.)
[11] LI Danjing. Dioid-based optimal control for high throughput screening systems. Control Decision, 2017, 32(9):1681–1688.(李丹菁.基于双子代数的高通量筛选系统优化控制.控制与决策,2017, 32(9):1681–1688.)
[12] LHOMMEAU M, HARDOUIN L, COTTENCEAU B, et al. Interval analysis and dioid:application to robust controller design for timed event graphs. Automatica, 2004, 40(11):1923–1930.
[13] COTTENCCEAU B, HARDOUIN L, BOIMOND J L, et al. Model reference control for timed event graphs in dioids. Automatica, 2001,37(9):1451–1458.
[14] BLYTH T S, JANOWITZ M F. Residuation Theory. Oxford:Pergamon Press, 1972.
[15] BACCELLI F, COHEN G, OLSDER G J, et al. Synchronization and Linearity, An Algebra for Discrete Event Systems. New York:John Wiley and Sons, 1992.
[16] LITVINOV G L, SOBOLEVSKI A N. Idempotent interval analysis and optimization problems. Reliable Computing, 2001, 7(5):353–377.
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