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Fractal Graph Optimization Algorithms

Fractal Graph Optimization Algorithms

引用

IEEE Conference on Decision and control

作者： J.R. Riehl J.P. Hespanha Center for Control Dynamical Systems and Computation Electrical and Computer Engineering Department University of California Santa Barbara CA USA

We introduce methods of hierarchically decomposing three types of graph optimization problems: all-pairs shortest path, all-pairs maximum flow,and search. Each method uses a partition on the graph to create a high level problem and several lower level problems. The computations on each level are identical, so the low level problems can be further decomposed. In this way, the problems become fractal in nature. We use these decomposition methods to establish upper and lower bounds on the optimal criteria of each problem, which can be achieved with much less computation than what is required to solve the original problem. Also, for each problem, we find an optimal number of partitions that minimizes computation time. As the number of hierarchical levels increases, the computational complexity decreases at the expense of looser bounds.

关键词： Fractals Partitioning algorithms Shortest path problem Search problems Navigation Path planning Costs Dynamic programming Optimization methods Computational complexity

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Kinematics Modeling of a Wheel-Based Pole Climbing Robot (UT-PCR)

Kinematics Modeling of a Wheel-Based Pole Climbing Robot (UT...

引用

IEEE International Conference on Robotics and Automation (ICRA)

作者： A. Baghani M.N. Ahmadabadi A. Harati Robotics and AI Lab Control and Intelligent Processing Center of Excellence Department of Electrical and Computer Engineering University of Tehran Iran

This paper is concerned with the derivation of the kinematics model of the University of Tehran-Pole Climbing Robot (UT-PCR). As the first step, an appropriate set of coordinates is selected and used to describe the state of the robot. Nonholonomic constraints imposed by the wheels are then expressed as a set of differential equations. By describing these equations in terms of the state of the robot an underactuated driftless nonlinear control system with affine inputs that governs the motion of the robot is derived. A set of experimental results are also given to show the capability of the UT-PCR in climbing a stepped pole.

关键词： Climbing robots Wheels Mobile robots Robot kinematics Road transportation Intelligent robots Inspection Cleaning Artificial intelligence Stability

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On hybrid controllers that induce input-to-state stability with respect to measurement noise

On hybrid controllers that induce input-to-state stability w...

引用

IEEE Conference on Decision and control

作者： R.G. Sanfelice A.R. Teel Center for Control Dynamical Systems and Computation Electrical and Computer Engineering Department University of California Santa Barbara CA USA

For a class of nonlinear systems affine in controls and with unknown high frequency gain, we develop a hybrid control strategy that guarantees (practical) global input-to-state stability (ISS) with respect to measurement noise. We provide a design procedure for the hybrid controller and apply it to Freeman’s counterexample and minimum-phase relative degree one systems.

关键词： Stability Noise measurement control systems Feedback Nonlinear control systems Nonlinear systems Noise robustness Frequency measurement Gain measurement Robust control

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Reference command tracking for a linearized model of an air-breathing hypersonic vehicle

Reference command tracking for a linearized model of an air-...

引用

AIAA Guidance, Navigation, and control Conference 2005

作者： Groves, Kevin P. Sigthorsson, David O. Serrani, Andrea Yurkovich, Stephen Bolender, Michael A. Doman, David B. Collaborative Center of Control Science Ohio State University Columbus OH 43210 United States Air Force Research Laboratory Wright-Patterson AFB OH 45433 United States Department of Electrical and Computer Engineering 2015 Neil Ave United States AIAA United States Department of Electrical and Computer Engineering 2015 Neil Ave Columbus OH United States AFRL VACA 2210 Eighth St. United States

ISBN: (纸本)1563477378

The focus of this paper is on control design and simulation for an air-breathing hypersonic vehicle. The challenges for control design in this class of vehicles lie in the inherent coupling between the propulsion system, and the airframe dynamics, and the presence of strong flexibility effects. Working from a highly nonlinear, dynamically-coupled simulation model, control designs are presented for velocity, angle-of-attack, and altitude command input tracking for a linearized version of a generic air-breathing hypersonic vehicle model linearized about a specific trim condition. control inputs for this study include elevator deflection, total temperature change across the combustor, and the diffuser area ratio. Two control design methods are presented, both using linear quadratic techniques with integral augmentation, and are implemented in tracking control studies. The first approach focuses on setpoint tracking control, whereas in the second, a regulator design approach is taken. The effectiveness of each control design is demonstrated in simulation on the full nonlinear model of the generic vehicle. Copyright © 2005 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.

关键词： Hypersonic aerodynamics

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Adaptive H∞ -Contro1 Design for a Class of LPV Systems

Adaptive H∞ -Contro1 Design for a Class of LPV Systems

引用

IEEE Conference on Decision and control

作者： H.R. Karimi B. Moshiri P.J. Maralani B. Lohmann Control and Intelligent Processing Center of Excellence Department of Electrical and Computer Engineering Faculty of Engineering University of Tehran Tehran Iran Institute of Automatic Control Technical University Munich Munich Germany

In this paper, we focus on the issue of adaptive H ∞ -control design for a class of linear parameter-varying (LPV) systems based on the Hamiltonian-Jacobi-Isaac (HJI) method. By combining the idea of polynomially parameter-dependent quadratic functions and vector projection method to derive an adaptive H ∞ -control, sufficient conditions with high precision are given to guarantee both robust asymptotic stability and disturbance attenuation of the LPV systems with unknown constant parameters. The applicability of the proposed design method is illustrated on a simple example.

关键词： Robust stability Polynomials Linear matrix inequalities Symmetric matrices Attenuation Asymptotic stability Sufficient conditions Automatic control Programmable control Adaptive control

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H//sub/spl infin// control of linear parameter-dependent state-delayed systems

H//sub/spl infin// control of linear parameter-dependent sta...

引用

IEEE Conference on control Technology and Applications (CCTA)

In this paper, we deal with the issue of robust delay-independent asymptotic stability and robust disturbance attenuation problem for linear parameter-dependent systems. Using Hamiltonian-Jacoby-Isaac approach, a parameter-dependent LMI optimization is obtained. It is shown that by utilizing polynomial parameter-dependent quadratic Lyapunov functions, a parameter-dependent LMI optimization problem is derived. Therefore, state feedback control is determined by solving a parameter-independent LMI. Finally, the applicability of the proposed design is illustrated on a simple example

关键词： control systems Lyapunov method Robust stability Process control Polynomials Attenuation Linear systems Sufficient conditions Vectors Intelligent control

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Results on convergence in hybrid systems via detectability and an invariance principle

Results on convergence in hybrid systems via detectability a...

引用

American control Conference (ACC)

作者： R.G. Sanfelice R. Goebel A.R. Teel Center for Control Eng. & Compulation California Univ. Santa Barbara CA USA Center for Control Engineering and Computation Electrical and Computer Engineering Department University of California Santa Barbara CA USA

Two invariance principles for generalized hybrid systems are presented. One version involves the use of a nonincreasing function, like in the original work of LaSalle. The other version involves "meagreness" conditions. These principles characterize asymptotic convergence of bounded hybrid trajectories to weakly invariant sets. A detectability property is used to locate a set in which the Q-limit set of a trajectory is contained. Next, it is shown how the invariance principles can be used to certify asymptotic stability in hybrid systems. Lyapunov and Krasovskii theorems for hybrid systems are included.

关键词： Convergence Asymptotic stability Military computing Sufficient conditions Mathematical model Difference equations control engineering control engineering computing Linear systems Nonlinear systems

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An interpolative fuzzy inference using least square principle by means of /spl beta/-function and high order polynomials

An interpolative fuzzy inference using least square principl...

引用

IEEE International Conference on Mechatronics and Automation

作者： F. Kiasi C. Lucas A. Fazl Control and Intelligent Processing Center of Excellence Department of Electrical and Computer Engineering University of Tehran Iran Electrical Engineering Faculty K.N. Toosi University of Technology Tehran Iran

Many researchers have been interested in approximation properties of fuzzy logic systems (FLS), which like neural networks, can be seen as approximation schemes. Almost all of them tackled Mamdani fuzzy model, which was shown to have many interesting features. This paper aims to present an alternative for traditional inference mechanisms and CRI method. The most attractive advantage of this new method is its higher robustness with respect to changes in rule base and ability to operate when latter is sparse. In this paper interpolation with high order polynomials and /spl beta/-function is reported.

关键词： Least squares methods Polynomials Fuzzy systems Fuzzy sets Fuzzy logic Interpolation Least squares approximation Engines Fuzzy control Curve fitting

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Reduced-order model-based feedback controller design for subsonic cavity flows

Reduced-order model-based feedback controller design for sub...

引用

43rd AIAA Aerospace Sciences Meeting and Exhibit

作者： Yuan, X. Caraballo, E. Yan, P. Özbay, H. Serrani, A. DeBonis, J. Myatt, J.H. Samimy, M. Collaborative Center of Control Science Ohio State University United States Department of Electrical and Computer Engineering Department of Mechanical Engineering United States Bilkent Univ. Dept. of Electrical and Electronics Eng. Ankara Turkey NASA Glenn's Quiet Aircraft Technology Program United States Air Force Research Laboratory Air Vehicles Directorate WPAFB United States

This paper explores feedback controller design for cavity flows based on reduced-order models derived using Proper Orthogonal Decomposition (POD) along with Galerkin projection method. Our preliminary analysis shows that the equilibrium of the POD model is unstable and a static output feedback controller cannot stabilize it. We develop Linear Quadratic (LQ) optimal state feedback controllers and LQ optimal observers for the linearized models. The linear controllers and observers are applied to the nonlinear system using simulations. The controller robustness is numerically tested with respect to different POD models generated at different forcing frequencies. An estimation for the region of attraction of the linear controllers is also provided.

关键词： Subsonic flow

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Inefficiency and classical communication bounds for conversion between partially entangled pure bipartite quantum states

Inefficiency and classical communication bounds for conversi...

引用

IEEE International Symposium on Information Theory

作者： B. Fortescue Hoi-Kwong Lo Center for Quantum Information and Quantum Control Department of Electrical and Computer Engineering and Department of Physics University of Toronto Toronto ONT Canada

We present explicit bounds on the classical communication cost and inefficiency of entanglement dilution via the Lo-Popescu protocol, for the case of two-term (single-qubit) entangled states. By considering a two-stage dilution, we consequently use prior results to obtain meaningful bounds on the classical communication cost and inefficiency of dilution between two-term partially entangled states

关键词： Quantum entanglement Costs Quantum computing Protocols Upper bound Communication system control Physics computing Information processing Teleportation Paramagnetic resonance

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