摘要:

AbstractThis paper presents an efficient computational method for the synthesis of singular optimal control problems. The proposed numerical procedure consists of two phases. In the first phase the original singular optimal control problem is converted into a non‐singular one by adding to the performance index a perturbed (or weighted) energy term. The resultant boundary value problem can easily be solved for an appropriately large value of the perturbation parameter. In the second phase the solution obtained from the first phase is refined in a systematic manner based on continuation methods (imbedding methods or homotopy methods) until the optimal (or suboptimal) solution to the original problem is achieved. One of the major advantages of the proposed algorithm is that the resultant two‐point boundary value problem need be solved just once for a properly large perturbation parameter and the refinement of the solution is accomplished by solving a set of initial value problems sequentially and/or in parallel as the perturbation parameter goes to zero. The proposed algorithm is therefore computationally efficient and applicable to a large class of optimal control problems with various boundary conditions (e.g. fixed and free terminal time). The practicability of the method is demonstrated by computer simulations on an example prob

ISSN:0143-2087    

DOI:10.1002/oca.4660150402

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

年代:1994

数据来源: WILEY

摘要:

AbstractIn this paper optimal control theory is applied to the trajectory tracking problem for a rigid robot manipulator. First a stability result is developed showing the relationship between optimal control theory and the global exponential stability of a class of second‐order non‐linear systems. Next this class of nonlinear systems is shown to contain the trajectory tracking error dynamics for a rigid robot manipulator when using a modified computed torque controller with an auxiliary input. Finally the stability result is applied to the tracking error dynamics to determine the auxiliary input to the robot controller. The result is a non‐linear feedback control law which provides exponentially stable position and velocity tracking for a rigid robot manipulator without complete feedback linearization of the robot dyn

ISSN:0143-2087    

DOI:10.1002/oca.4660150403

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

年代:1994

数据来源: WILEY

摘要:

AbstractThe problem of minimum cost control of a solar‐assisted heat pump/heat storage system is considered. The system is configured to have separate storage for collected solar heat and high‐temperature heat, so that night‐time (‘off‐peak’) operation of the heat pump is possible. The problem of finding the optimal operating strategy when electrical energy is priced at a discount during off‐peak hours is considered. The solution of the periodic optimization problem is obtained through the use of state increment dynamic programming, simplified through the use of state feedback linearization/decoupling and augmented with a label‐tracing procedure to identify the periodic but unknown initial/terminal state. The algorithm is applied for a typical case study. The results lead to several observations concerning economical opera

ISSN:0143-2087    

DOI:10.1002/oca.4660150404

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

年代:1994

数据来源: WILEY

摘要:

AbstractEmpirical evidence indicates that a given moderate number of ads per year may achieve higher effect when concentrated in flights than when spread equally. In the control‐theoretic literature a few approaches have been developed for which the optimal policy is a pulsing schedule. The present communication analyses a two‐state diffusion advertising model for repeat purchasing. Recognizing the interaction between customers and potential buyers, the optimal advertising policy turns out to be a persistent periodic oscillation. This provides a further interesting example in marketing for the existence of a stable limit cy

ISSN:0143-2087    

DOI:10.1002/oca.4660150405

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

年代:1994

数据来源: WILEY

摘要:

AbstractState space solutions forH∞ control are formulated for composite state feedback control of singularly perturbed systems. Scaled frequency domain realizations of dynamic systems are developed and used to generateH∞ solutions that approach theH2solution as anH∞‐norm design parameter is allowed to approach infinity. The realizations also account for non‐orthogonal cost function terms that occur naturally in the slow subsystem design for singularly perturbed systems. TraditionalH2results are also provided. The formulation is applied to compute reduced, composite and full‐order controller gains for the longitudinal dynamics of an F

ISSN:0143-2087    

DOI:10.1002/oca.4660150406

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.4660150401

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

年代:1994

数据来源: WILEY