Disturbance attenuation analysis of state feedback nash strategy for two-player linear quadratic sequential games

International Journal of Control, Automation and Systems

Volumn 7, Issue 6, 2009, Pages 905-910

  Shen, Dan ^a   Cruz Jr , Jose B ^b  

^a INTELLIGENT AUTOMATION INC   (United States)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

BIBO; Disturbance attenuation; Riccati equation; State feedback Nash strategies

Indexed keywords

ATTENUATION LEVELS; BIBO; BOUNDED INPUT BOUNDED OUTPUTS; DISTURBANCE ATTENUATION; FEEDBACK SYSTEMS; GAME PLAYERS; INFINITE HORIZONS; LINEAR QUADRATIC; MATHEMATICAL ANALYSIS; NASH STRATEGY; PLANNING HORIZONS; SYSTEM CONTROL; THEORETICAL APPROACH; ZERO SUMS; ZERO-SUM GAME;

EQUATIONS OF STATE; FEEDBACK; GAME THEORY; RICCATI EQUATIONS; UNCERTAINTY ANALYSIS;

STATE FEEDBACK;

EID: 73949105833     PISSN: 15986446     EISSN: 20054092     Source Type: Journal    
DOI: 10.1007/s12555-009-0605-x     Document Type: Article

References (11)

1. W. White, "Representation and approximation of noncooperative sequential games, " SIAM Journal on Control and Optimization, vol. 18, pp. 33-48, 1980.
2. R. Selten, "Re-examination of the perfectness concept for equilibrium points in extensive games, " International Journal of Game Theory, vol. 4, pp. 25-55, 1975.
3. G. Zames and B. A. Francis, "Feedback, minimax sensitivity, and optimal robustness, " IEEE Trans. Autom. Control, vol. 28, pp. 585-601, May 1983.
4. B.-S. Kim and M.-T. Lim, "Robust H∞ control method for bilinear systems, " Int. J. of Control, Automation, and Systems, vol. 1, no. 2, pp. 171-177, 2003.
5. Y.-J. Kim and M.-T. Lim, "Parallel robust H∞ control method for weakly coupled bilinear systems with parameter uncertainties using successive galerkin approximation, " Int. J. of Control, Automation, and Systems, vol. 4, no. 6, pp. 689-696, 2006.
6. H. Gao and T. Chen, "H∞ estimation for uncertain systems with limited communication capacity, " IEEE Trans. Autom. Control, vol. 52, no. 11, pp. 2070-2084, 2007.
7. J. Xu and L. Yu, "H∞ control of 2-D discrete state delay systems, " Int. J. of Control, Automation, and Systems, vol. 4, no. 4, pp. 516-523, 2006.
8. J. Helton and M. James, "Reduced-complexity nonlinear H∞ control of discrete-time systems, " IEEE Trans. Autom. Control, vol. 50, no. 11, pp. 1808-1811, 2005.
9. S.-L. Dai and J. Zhao, "Reliable H∞ controller design for a class of uncertain linear systems with actuator failures, " Int. J. of Control, Automation, and Systems, vol. 6, no. 6, pp. 954-959, 2008.
10. T. Basar and P. Bernhard, H∞-Optimal Control and Related Minimax Design Problems: A Dynamic Game Approach. Boston, Birkhauser, MA, 1991.
11. D. Shen, Nash Strategies For Dynamic Non- cooperative Linear Quadratic Sequential Games, Dissertation, The Ohio State University, 2006.