作者：
Teel, A.R.Popović, D.CCEC
Electrical and Computer Eng. Dept. University of California Santa Barbara CA 93106-9560 United States
This paper contains an analysis of the dynamics associated with the interconnection of a dynamical system with a discrete-time approximate nonlinear programming algorithm designed to locate an extremum on the steady-s...
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This paper contains an analysis of the dynamics associated with the interconnection of a dynamical system with a discrete-time approximate nonlinear programming algorithm designed to locate an extremum on the steady-state output map (readout map) of the dynamical system. Very few assumptions on the dynamical system, the readout map, and the nonlinear programming algorithm are imposed. Taking a nonlinear programming approach to the extremum seeking problem readily allows 1) readout maps that depend on many input parameters in a highly coupled manner, 2) nonsmooth readout maps, 3) nonexponential convergence to attractors that determine the steady-state, 4) attractors in infinite dimensions. Several simulation examples are provided to illustrate the theory and demonstrate the flexibility of the approach.
Under mild conditions, the Jacobian associated with the Karush-Kuhn-Tucker (KKT) system of a (non-convex) nonlinear program is nonsingular near an isolated solution. However, this property may not hold away from such ...
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ISBN:
(纸本)1595932577
Under mild conditions, the Jacobian associated with the Karush-Kuhn-Tucker (KKT) system of a (non-convex) nonlinear program is nonsingular near an isolated solution. However, this property may not hold away from such a solution. To enhance the robustness and efficiency of the primal-dual interior-point approach, we propose a method that at each iteration solves a trust-region, least-squares problem associated with the linearized perturbed KKT conditions. As a merit function, we use the Euclidean norm-square of the KKT conditions and provide a theoretical justification. We present some preliminary numerical results. Copyright 2005 ACM.
This paper presents a stochastic non-linear program (S-NLP) with a confidence interval constraint. The problem extends the conventional maximum loading problem to include randomness and uncertainty in system loading l...
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ISBN:
(纸本)0780392558
This paper presents a stochastic non-linear program (S-NLP) with a confidence interval constraint. The problem extends the conventional maximum loading problem to include randomness and uncertainty in system loading levels. The problem restricts the 99% confidence interval of the loading level to be within a pre-specifled amount of the mean. The paper presents solutions when the confidence interval is restricted to be within 15, 20, and 25% of the mean. The proposed solution methodology is tested using the IEEE 30 bus system and results are compared against solutions found using Monte Carlo Simulations. Each of the Monte Carlo Simulations consist of 10,000 samples.
This work proposes a DC-link current optimization for interleaved inverter systems using a linear and a nonlinear programming approach, respectively. The objective function aims at minimizing in RMS value of the AC-co...
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A parametric H2 optimal control problem for linear continuous time-invariant systems is discussed. The control setup allows that any matrix coefficient of a system state space description be subjected to parameter unc...
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This paper presents the design optimization of a tri-band textile antenna, which is realized on jute material as the proper flexible substrate. First of all, the design process of the textile antenna is taken as a mul...
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An algorithmic framework for numerically approximating multiparametric nonlinear programming (mp-NLP) solutions is given, along with a method that uses mp-NLP for evaluating the adequacy of the nominal model used in I...
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This paper presents a mathematical programming approach that simultaneously incorporates a mixed-integer nonlinear programming formulation with machine learning models to determine operating conditions, gas production...
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In this paper, a novel nonlinear programming based control allocation scheme is developed. The performance of this nonlinear control allocation algorithm is compared with that of other control allocation approaches, i...
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In this paper, a novel nonlinear programming based control allocation scheme is developed. The performance of this nonlinear control allocation algorithm is compared with that of other control allocation approaches, including a mixed optimization scheme, a redistributed pseudo-inverse approach, and a direct allocation (geometric) method. The control allocation methods are first compared using open-loop measures such as the ability to attain commanded moments for a prescribed maneuver. The methods are then compared in closed-loop with a dynamic inversion-based control law. Next, the performance of the different algorithms is compared for different reference trajectories under a variety of failure conditions. Finally, we perform some preliminary studies employing "split actuators" that increase available control authority under failure conditions. All studies are conducted on a re-entry vehicle simulation.
Based on interpolation formula or curve fitting and under special relating angle limitation, maximum contingency clearing time to be target function, all swing equations in power system will be converted into numerica...
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ISBN:
(纸本)0863412467
Based on interpolation formula or curve fitting and under special relating angle limitation, maximum contingency clearing time to be target function, all swing equations in power system will be converted into numerical equivalent algebraic equations by using the implicit trapezoidal rule and are involved in equality constrains set. All rotors' angles related to COI are used to be inequality constrains. This paper presents a novel nonlinear programming model that can calculate maximum contingency clearing time accurately. An interior point algorithm for solving the proposed model is derived. Proposed model and algorithm don't have to research or derive a lot of complex theory and mathematics formulas, possess significant simplifying structure, excellent convergence property and can be implement or program easily. Based on time domain emulating and numerical calculation completely, proposed model and algorithm are suitable for any generator and load modules very well.
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