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  • Articles  (10)
  • optimal control  (10)
  • Springer  (10)
  • American Geophysical Union (AGU)
  • Annual Reviews
  • 1995-1999  (10)
  • 1980-1984
  • 1935-1939
  • 1995  (10)
  • Mathematics  (10)
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  • Articles  (10)
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Keywords
Publisher
  • Springer  (10)
  • American Geophysical Union (AGU)
  • Annual Reviews
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  • 1995-1999  (10)
  • 1980-1984
  • 1935-1939
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Topic
  • 1
    Electronic Resource
    Electronic Resource
    Asymptotic solution of a singularly perturbed nonlinear state regulator problem (1995)
    Springer
    Applied mathematics and mechanics 16 (1995), S. 515-520 
    Details
    ISSN: 1573-2754
    Keywords: singular perturbation ; nonlinear state regulator ; optimal control ; diagonalization technique
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Mathematics , Physics
    Notes: Abstract This paper will seek the optimal control and corresponding trajectories of the singularly perturbed nonlinear state regulator problem. Under appropriate hypotheses, it will be possible to complete an asymptotic solution which is uniformly valid when σ→0.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458719
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  • 2
    Electronic Resource
    Electronic Resource
    A maximum principle based combined method for scheduling in a flexible manufacturing system (1995)
    Springer
    Discrete event dynamic systems 5 (1995), S. 343-355 
    Details
    ISSN: 1573-7594
    Keywords: optimal control ; FMS scheduling ; maximum principle ; instant setups
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A continuous time dynamic model of discrete scheduling problems for a large class of manufacturing systems is considered in the present paper. The realistic manufacturing based on multi-level bills of materials, flexible machines, controllable buffers and deterministic demand profiles is modeled in the canonical form of optimal control. Carrying buffer costs are minimized by controlling production rates of all machines that can be set up instantly. The maximum principle for the model is studied and properties of the optimal production regimes are revealed. The solution method developed rests on the iterative approach generalizing the method of projected gradient, but takes advantage of the analytical properties of the optimal solution to reduce significantly computational efforts. Computational experiments presented demonstrate effectiveness of the approach in comparison with pure iterative method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01439152
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  • 3
    Electronic Resource
    Electronic Resource
    On ergodic control of degenerate diffusions (1995)
    Springer
    Journal of optimization theory and applications 86 (1995), S. 251-261 
    Details
    ISSN: 1573-2878
    Keywords: Degenerate diffusions ; ergodic control ; optimal control ; Markov control ; stationary solutions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract For the ergodic control problem with degenerate diffusions, the existence of an optimal solution is established for various interesting classes of solutions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02193470
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  • 4
    Electronic Resource
    Electronic Resource
    Maximum principle for the optimal control of a hyperbolic equation in one space dimension, part 1: Theory (1995)
    Springer
    Journal of optimization theory and applications 87 (1995), S. 33-45 
    Details
    ISSN: 1573-2878
    Keywords: Maximum principle ; distributed-parameter systems ; optimal control ; structural control ; hyperbolic partial differential equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A maximum principle is developed for a class of problems involving the optimal control of a damped-parameter system governed by a linear hyperbolic equation in one space dimension that is not necessarily separable. A convex index of performance is formulated, which consists of functionals of the state variable, its first- and second-order space derivatives, its first-order time derivative, and a penalty functional involving the open-loop control force. The solution of the optimal control problem is shown to be unique. The adjoint operator is determined, and a maximum principle relating the control function to the adjoint variable is stated. The proof of the maximum principle is given with the help of convexity arguments. The maximum principle can be used to compute the optimal control function and is particularly suitable for problems involving the active control of structural elements for vibration suppression.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192040
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  • 5
    Electronic Resource
    Electronic Resource
    Sampled-data minimumH ∞-norm regulation of linear continuous-time systems using multirate-output controllers (1995)
    Springer
    Journal of optimization theory and applications 87 (1995), S. 235-267 
    Details
    ISSN: 1573-2878
    Keywords: Sampled-data systems ; multivariable control systems ; robust control ; multirate controllers ; control systems design ; optimal control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper deals with the problem of designing multirate-output contrlleers for sampled-dataH ∞-optimal control of linear continuous-time systems. Two formulations of the problem are studied. In the first, the intersample behavior of the disturbance and the controlled output signals is not considered, whereas in the second the continuous-time nature of these signals is taken into account. It is shown that, in both cases and unter appropriate conditions, it is plausible to reduce the repective initial problem to an associated discrete-timeH ∞-optimization problem for which a fictitious static state feedback controller is to be designed. This fact has a beneficial influence on the theoretical and numerical complexity of the problem, since only one algebraic Riccati equation is to be solved here, as compared to two algebraic Riccati equations needed in known techniques concerning theH ∞-optimization problem with dynamic measurement feedback.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192563
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  • 6
    Electronic Resource
    Electronic Resource
    Invariant imbedding and parallelism in dynamic programming for feedback control (1995)
    Springer
    Journal of optimization theory and applications 87 (1995), S. 121-140 
    Details
    ISSN: 1573-2878
    Keywords: Dynamic programming ; feedback control ; invariant imbedding ; optimal control ; parallel computing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper investigates related areas such as invariant imbedding, state feedback, and numerical and parallel methods in order to specify the range of control problems amenable to a dynamic programming approach. Several forms of functional equations are classified according to different applications of the invariant imbedding principle and corresponding closed-loop control structures. Computational methods to implement these algorithms are described, and a complexity analysis is made to determine their effectiveness and to explain their application domain. The design of parallel algorithms is also considered. Alternative descriptions are compared; the frame of a distributed computational method delivering tabular feedback solutions is highlighted.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192044
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  • 7
    Electronic Resource
    Electronic Resource
    Duality theorems for convex problems with time delay (1995)
    Springer
    Journal of optimization theory and applications 87 (1995), S. 167-195 
    Details
    ISSN: 1573-2878
    Keywords: Calculus of variations ; optimal control ; convex duality ; time delays
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we examine a class of convex problems of Bolza type, involving a time delay in the state. It encompasses a variety of time-delay problems arising in the calculus of variations and optimal control. A duality analysis is carried out which, among other things, leads to a characterization of minimizers in terms of the Euler-Lagrange inclusion. The results obtained improve in significant respects on what is achievable by techniques previously employed, based on elimination of the time delay by introduction of an infinite-dimensional state space or on the method of steps.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192046
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  • 8
    Electronic Resource
    Electronic Resource
    Maximum principle for the optimal control of a hyperbolic equation in one space dimension, part 2: Application (1995)
    Springer
    Journal of optimization theory and applications 87 (1995), S. 287-300 
    Details
    ISSN: 1573-2878
    Keywords: Maximum principle ; optimal control ; vibrating beams ; structural control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The optimal open-loop control of a beam subject to initial disturbances is studied by means of a maximum principle developed for hyperbolic partial differential equations in one space dimension. The cost functional representing the dynamic response of the beam is taken as quadratic in the displacement and its space and time derivatives. The objective of the control is to minimize a performance index consisting of the cost functional and a penalty term involving the control function. Application of the maximum principle leads to boundary-value problems for hyperbolic partial differential equations subject to initial and terminal conditions. The explicit solution of this system is obtained yielding the expressions for the state and optimal control functions. The behavior of the controlled and uncontrolled beam is studied numerically, and the effectiveness of the proposed control is illustrated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192565
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  • 9
    Electronic Resource
    Electronic Resource
    Optimal power-limited rendezvous of a spacecraft with bounded thrust and general linear equations of motion (1995)
    Springer
    Journal of optimization theory and applications 87 (1995), S. 487-515 
    Details
    ISSN: 1573-2878
    Keywords: Controllability ; primer vectors ; rendezvous maneuvers ; power-limited spacecraft ; bounded control ; optimal control ; linearquadratic problems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The solution of the fixed-time optimal power-limited rendezvous with a general linear system of ordinary differential equations and a bound on the magnitude of the applied thrust is presented. Necessary and sufficient conditions for thrust saturation in an optimal solution are included. Because of the generality of the linear system of equations of motion, controllability considerations are required for a complete solution of this problem. It is shown that the condition of controllability can be defined completely in terms of a class of primer vectors associated with this problem. Moreover, it is shown that two distinct versions of the primer vector appear in this problem. Therefore, there is not a unique primer vector associated with every rendezvous problem. The work is applied to the problem of the rendezvous of a spacecraft near a satellite in circular orbit. The optimal rendezvous trajectory is determined by the interaction of a primer vector and the bound on the thrust magnitude. The results of computer simulations are presented graphically.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192130
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  • 10
    Electronic Resource
    Electronic Resource
    Optimum control of bobsled steering (1995)
    Springer
    Journal of optimization theory and applications 85 (1995), S. 1-19 
    Details
    ISSN: 1573-2878
    Keywords: Minimum-time problem ; optimal control ; bobsled steering
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Minimum-time and smooth-steering control algorithms are developed for bobsled optimal control. Numerical solutions are obtained both for one-curve optimal control and whole-course piecewise optimal control with application to realistic three-dimensional track surface shapes. Specific results are calculated for the Lillehammer Olympic Track.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02192297
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