Finite State Dynamic Games with Asymmetric Information: A Computational Framework

2004 ◽  
Author(s):  
Chaim Fershtman ◽  
Ariel Pakes
Keyword(s):  
Asymmetric Information ◽  
Dynamic Games ◽  
Computational Framework ◽  
State Dynamic ◽  
Finite State

State-Feedback Zero-Sum Dynamic Games

2017 ◽  
Author(s):  
João P. Hespanha
Keyword(s):  
Discrete Time ◽  
Information Structure ◽  
Dynamic Games ◽  
State Feedback ◽  
Linear Quadratic ◽  
Feedback Information ◽  
Time Dynamic ◽  
Finite State ◽  
Solution Methods ◽  
Zero Sum

This chapter focuses on the computation of the saddle-point equilibrium of a zero-sum discrete time dynamic game in a state-feedback policy. It begins by considering solution methods for two-player zero sum dynamic games in discrete time, assuming a finite horizon stage-additive cost that Player 1 wants to minimize and Player 2 wants to maximize, and taking into account a state feedback information structure. The discussion then turns to discrete time dynamic programming, the use of MATLAB to solve zero-sum games with finite state spaces and finite action spaces, and discrete time linear quadratic dynamic games. The chapter concludes with a practice exercise that requires computing the cost-to-go for each state of the tic-tac-toe game, and the corresponding solution.

Modal analysis of finite-state dynamic inflow for rotary wing systems

2016 ◽  
Vol 23 (7) ◽  
pp. 1086-1094 ◽  
Author(s):  
Zhongyang Fei ◽  
David A Peters
Keyword(s):  
Modal Analysis ◽  
Axial Flow ◽  
Helicopter Rotor ◽  
Mode Shapes ◽  
Harmonic Numbers ◽  
State Dynamic ◽  
Finite State ◽  
Skew Angles ◽  
Rotary Wing ◽  
Velocity Mode

In this paper, the finite-state helicopter rotor inflow modes have been studied based on eigenanalysis. The inflow velocity mode shapes with node lines have been displayed with various skew angles. The eigenvalues are highly coupled especially for higher skew angles, and the mode shapes change significantly for different angles. The changing of eigenvalues with different harmonic numbers is also exhibited in the tables for axial flow of both the Peters–He and Morillo dynamic inflow models. An easy way to estimate the eigenvalues of the Peters–He inflow model is also established.

Evaluation of Finite-State Dynamic Inflow for Rotors

2021 ◽  
pp. 1-15
Author(s):  
Jimmy C. Ho ◽  
Hyeonsoo Yeo
Keyword(s):  
State Dynamic ◽  
Finite State

An Approximate Finite State Dynamic Wake Model for Predictions of Inflow below the Rotor

2021 ◽  
Author(s):  
Feyyaz Guner ◽  
J. V. R. Prasad ◽  
David A. Peters
Keyword(s):  
Velocity Potential ◽  
Dynamic Pressure ◽  
Frequency Control ◽  
Flight Simulation ◽  
Low Frequencies ◽  
Simulation Fidelity ◽  
State Dynamic ◽  
Finite State ◽  
Time Marching ◽  
Wake Model

The velocity potential based finite state dynamic inflow model can predict inflow anywhere in the flow field once velocity potential states and costates are known. However, solution to costate equations requires backward time marching, making it incompatible for integration into real-time flight simulation. This paper explores two types of quasi-steady approximations to the costate equations, both of which eliminate the need for backward time marching. The fidelities of the resulting inflow models are assessed through comparisons of off-disk inflow predictions for an isolated rotor. Further, the implication of the inflow model approximations on the flight simulation fidelity is assessed using the coupled body/rotor/inflow dynamics model of a generic helicopter model. It is shown that, in both cases, the quasi-steady approximations to the inflow model retain simulation model fidelity at low frequencies, a typical frequency range of pilot control inputs. Notable fidelity loss is seen at high-frequency control inputs, specifically for cases where horizontal tail is operating at a higher dynamic pressure within the rotor wake.

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