Search results for "Linear quadratic"

showing 2 items of 2 documents

Mean Field Linear Quadratic Games with Set Up Costs

2013

This paper studies linear quadratic games with set up costs monotonic on the number of active players, namely, players whose action is non-null. Such games arise naturally in joint replenishment inventory systems. Building upon a preliminary analysis of the properties of the best response strategies and Nash equilibria for the given game, the main contribution is the study of the same game under large population. We also analyze the influence of an additional disturbance in the spirit of the literature on H∞ control. Numerical illustrations are provided. © 2012 Springer Science+Business Media New York.

TheoryofComputation_MISCELLANEOUSStatistics and ProbabilityComputer Science::Computer Science and Game TheoryEconomics and EconometricsMathematical optimizationSequential gamedifferential games game theory control and optimizationJoint-replenishmentOutcome (game theory)symbols.namesakeMean field gamesGame theoryMathematicsMean field games; Linear quadratic differential games; Joint-replenishment[INFO.INFO-NI] Computer Science [cs]/Networking and Internet Architecture [cs.NI]Applied MathematicsNormal-form gameComputingMilieux_PERSONALCOMPUTINGoperational researchTheoryofComputation_GENERALScreening gameComputer Graphics and Computer-Aided DesignComputer Science ApplicationsComputational MathematicsComputational Theory and MathematicsNash equilibriumBest responseRepeated gamesymbolsLinear quadratic differential gamesSettore MAT/09 - Ricerca OperativaoptimizationGame theoryMathematical economicsDynamic Games and Applications
researchProduct

LQG Control Design for Balancing an Inverted Pendulum Mobile Robot

2011

Author's version of an article published in the journal: Intelligent Control and Automation. Also available from the publisher at: http://dx.doi.org/10.4236/ica.2011.22019 The objective of this paper is to design linear quadratic controllers for a system with an inverted pendulum on a mobile robot. To this goal, it has to be determined which control strategy delivers better performance with respect to pendulum’s angle and the robot’s position. The inverted pendulum represents a challenging control problem, since it continually moves toward an uncontrolled state. Simulation study has been done in MATLAB Simulink environment shows that both LQR and LQG are capable to control this system succe…

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Engineeringbusiness.industryVDP::Technology: 500::Mechanical engineering: 570Control (management)PendulumControl engineeringMobile robotLinear quadraticLinear-quadratic-Gaussian controlInverted pendulumComputer Science::RoboticsComputer Science::Systems and ControlPosition (vector)Control theoryRobotbusinessLQG control inverted pendulum mobile robotIntelligent Control and Automation
researchProduct