The continuous-time two-player preview game problems are studied in this paper. A preview game problem is formulated when the input signals generated by one of the two players are delayed (e.g., by actuator dynamics), and are previewed by the other player. In accordance with the control terminology, these two players are referred to as the control player and the disturbance player, respectively. Both control-advantaged and disturbance-advantaged game solutions are presented. When the solution of an infinite horizon problem exists, the response of the closed-loop system can be analyzed in the frequency domain. A vehicle handling problem is used as an example for the analysis. It is shown that the preview action of the advantaged player effectively reduces the authority of the disadvantaged player, and results in significantly improved performance compared with feedback-only game algorithms.
Skip Nav Destination
e-mail: hpeng@umich.edu
Article navigation
June 1999
Technical Briefs
Solutions of Continuous-Time Preview Two-Player Differential Games
Wen-Hou Ma,
Wen-Hou Ma
Mechanical Dynamics Inc., Ann Arbor, MI 48109
Search for other works by this author on:
Huei Peng
Huei Peng
Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2125
e-mail: hpeng@umich.edu
Search for other works by this author on:
Wen-Hou Ma
Mechanical Dynamics Inc., Ann Arbor, MI 48109
Huei Peng
Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2125
e-mail: hpeng@umich.edu
J. Dyn. Sys., Meas., Control. Jun 1999, 121(2): 326-331 (6 pages)
Published Online: June 1, 1999
Article history
Received:
February 3, 1997
Online:
December 3, 2007
Citation
Ma, W., and Peng, H. (June 1, 1999). "Solutions of Continuous-Time Preview Two-Player Differential Games." ASME. J. Dyn. Sys., Meas., Control. June 1999; 121(2): 326–331. https://doi.org/10.1115/1.2802477
Download citation file:
Get Email Alerts
Cited By
Offline and Online Exergy-Based Strategies for Hybrid Electric Vehicles
J. Dyn. Sys., Meas., Control (May 2025)
Multi Combustor Turbine Engine Acceleration Process Control Law Design
J. Dyn. Sys., Meas., Control
A Distributed Layered Planning and Control Algorithm for Teams of Quadrupedal Robots: An Obstacle-Aware Nonlinear Model Predictive Control Approach
J. Dyn. Sys., Meas., Control (May 2025)
Active Data-Enabled Robot Learning of Elastic Workpiece Interactions
J. Dyn. Sys., Meas., Control (May 2025)
Related Articles
Dynamic Emulation Using an Indirect Control Input
J. Dyn. Sys., Meas., Control (March,2005)
Characterization and Attenuation of Sandwiched Deadband Problem Using Describing Function Analysis and Application to Electrohydraulic Systems Controlled by Closed-Center Valves
J. Dyn. Sys., Meas., Control (May,2009)
On the Spillover of Steady State Unbalance Response of a Rotating Shaft Under Velocity Feedback
J. Vib. Acoust (April,2006)
Sliding Mode Output Feedback Control of Vibration in a Flexible Structure
J. Dyn. Sys., Meas., Control (November,2007)
Related Proceedings Papers
Related Chapters
QP Based Encoder Feedback Control
Robot Manipulator Redundancy Resolution
Pricing and Bidding Strategies
Natural Negotiation for Engineers and Technical Professionals
Mash 2-1 Multi-Bit Sigma-Delta Modulator for WLAN
International Conference on Future Computer and Communication, 3rd (ICFCC 2011)