Convex methods in actuator placement
Tóm tắt
A new formulation of the actuator placement problem is presented. This formulation considers capital cost in the objective function and highlights the importance of magnitude limits on both input and output signals through variance bounding constraints on each. Thus, the proposed optimization problem is aimed at finding the set of minimum cost actuator arrays such that there exists a linear feedback for which all closed-loop signals will satisfy their magnitude limits. The original formulation of this problem results in a Mixed Integer Nonlinear Program (MINLP). However, through an LMI based transformation we exactly convert the problem into a computationally advantageous Mixed Integer Convex Program (MICP). Finally, the design method is applied to an example of actuator placement in a non-isothermal tubular reactor.
Từ khóa
#Chemical technology #Cost function #Feedback #Automatic control #Chemical engineering #Hydraulic actuators #Design methodology #Inductors #Distributed parameter systems #InstrumentsTài liệu tham khảo
10.1137/1.9781611970791
10.1002/aic.690480510
balakrishnan, 1995, LMI Control Toolbox User's Guide
edgar, 2001, Optimization of Chemical Processes
10.1016/S0959-1524(99)00056-6
10.1109/37.621480
skelton, 1998, A Unified Algebraic Approach to Linear Control Design
chmielewski, 0, A new theory for hardware selection in finite dimensional systems
10.1016/S0098-1354(00)00412-9
burl, 1999, Linear Optimal Control H2 and H? Methods
chmielewski, 2001, Convex methods in sensor placement, 4th IFAC Workshop on On-Line Fault Detection and Supervision in the Chemical Process Industries, 309
10.1115/1.3571074
10.1109/ACC.2000.879159
amouroux, 1973, Sur une me?thode de de?termination de l'emplacement optimal de points d'action pour une classe de syste?mes line?aire a? parame?tres re?partis, C R Acad Sci Paris, 277, 193
kubrusly, 1985, Sensors and controllers location in distributed system-a survey, Automatica, 21, 117, 10.1016/0005-1098(85)90107-4
10.2514/3.21292
arbel, 1981, Controllability measures and actuator placement in oscillatory systems, Int J Control, 33, 565, 10.1080/00207178108922941
10.1080/00207177908922737
10.1080/00207177808922498
muller, 1972, Analysis and optimization of a certain qualities of controllability and observability for linear dynamical systems, Automatica, 8, 237, 10.1016/0005-1098(72)90044-1
aidarous, 1976, Optimal pointwise discrete control and controllers location strategies for stochastic distributed systems, Int J Control, 24, 493, 10.1080/00207177608932841
10.2514/3.10683