摘要:

AbstractThe problem of mixedH2/H∞control with pole placement is considered for linear time‐invariant systems. This is the problem of determining a controller for linear time‐invariant systems which minimizes theH2‐norm of a certain closed‐loop transfor function subject to anH∞‐norm constraint on another closed‐loop transfer function and an additional constraint on the location of the closed‐loop poles in the complex plane. An optimization problem is posed for the pole‐constrainedH2/H∞, problem in such a way that the objective function is expressed as a weighted sum of the actualH2cost and its upper bound. A necessary condition for the optimization problem is derived via the Lagrange multiplier technique. The condition involves a set of highly coupled equations. By sacrificing theH2performance, an alternative optimization problem is posed in order to simplify the necessary condition. An iterative algorithm for solving the coupled equations arising in the necessary conditions is proposed and numerical e

ISSN:0143-2087    

DOI:10.1002/oca.4660150302

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractThis paper describes the optimization problem of a fedbatch fermentation process for alcohol production which initially consists of minimizing a time‐optimal global criterion. Dynamic programming methods have previously allowed one to solve this global optimization problem and to deduce a local criterion to be maximized at each sampling step by using non‐linear programming techniques. It is then stated that under a few realistic constraints the optimization problem can be translated into the regulation problem of the substrate concentration in the fermentor. The optimal value is a function of a certain growth model. A control law based on the quotient between measurement and optimal value is then implemented. Simulation results and real‐life experiments validate the problem transform

ISSN:0143-2087    

DOI:10.1002/oca.4660150303

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractA study is made of the longitudinal 2D viscous steady flow and heat flux between two plates. Optimal shape design problems are solved in explicit form and shown to have unique global extrema. Conformal mappings are used to bring the problems into a fixed domain and solve them as Dirichlet boundary value problems in the form of Cauchy integrals and series expansions. For the simplest problem statement the optimum is shown to coincide with the well‐known concrete dam outline of constant hydraulic gradien

ISSN:0143-2087    

DOI:10.1002/oca.4660150304

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractIn this communication a new design method for the discrete‐time LQ regulator based on the solution of the inverse optimal regulator is presented. The main feature of the method is that it requires no Riccati solution in addition to having a number of tuning parameters which help to shape a desirable response of the closed‐loop sys

ISSN:0143-2087    

DOI:10.1002/oca.4660150305

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

摘要:

AbstractThis communication concerns a derivation and study of necessary optimality conditions for production scheduling. The continuous‐time optimal control problem is stated for the analysis of extremal behaviour of a flexible flow shop. This is accomplished by means of the maximum principle, which is applied to the problem with irregular constraints and three typical forms of objective functio

ISSN:0143-2087    

DOI:10.1002/oca.4660150306

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY

ISSN:0143-2087    

DOI:10.1002/oca.4660150301

出版商:Wiley Subscription Services, Inc., A Wiley Company    

年代:1994

数据来源: WILEY