Hybrid State Feedback H∞ Robust Control for a Class of Linear Systems with Time-Varying Norm-Bounded Uncertainty

Proceedings of the American Control Conference

Volumn 4, Issue , 2003, Pages 3608-3613

  Nie, Hong ^a   Zhao, Jun ^a  

^a NORTHEASTERN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FEEDBACK CONTROL; GAIN MEASUREMENT; LYAPUNOV METHODS; ROBUSTNESS (CONTROL SYSTEMS); SWITCHING SYSTEMS;

HYBRID STATES;

LINEAR SYSTEMS;

EID: 0142246061     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. A Gollu and P P Varaiya. Hybrid dynamical systems. In Proc. 28th IEEE Conf. Decision and Contr., pages 2708 -2712, Tampa, FL, Dec. 1989.
2. D. Liberzon and A. S. Morse. Basic problems in stability and design of switched systems. IEEE Contr. Syst. Mag., 19(5): 59-70, 1999.
3. E. Litsyn, Y. V. Nepomnyashchikh, and A. Ponosov. Stabilization of linear differential systems via hybrid feedback controls, submitted to SLAM J. Control Optimization.
4. Z. Artstein, Examples of stabilization with hybrid feedback, in Hybrid Systems: Verification and Control (R.Alur et al.,Eds.), Lecture Notes in Computer Science, 1066: 173-185, 1996.
5. S. B. Gershwin. Hierarchical flow control: A framework for scheduling and planning discrete events in manufacturing systems. Proc. IEEE, 77(1): 195-209, 1989.
6. D. Jeon and M. Tomizuka. Learning hybrid force and position control of robot manipulators. IEEE Trans. Robotics Automat, 9:423-431, 1996.
7. A. V. Savkin, I. R. Petersen, E. Skafidas, and R. J. Evans. Robust control via controlled switching. Proc. CESA' 96, pages 1117-1122, Lille, France, 1996.
8. ∞ control for linear systems with norm-bounded time-varying uncertainty. IEEE Trans. Automat. Contr., 37: 1188-1191, 1992.
9. M. S. Branicky. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans. Automat. Contr., AC-43(4): 475-482, 1998.
10. ∞ optimization: a design method based on the algebraic Riccati equation. IEEE Trans. Automat. Contr., AC-32: 427-429, 1987.
11. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan. Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia, 1994.
12. ∞ control theory and application. Tsinghua University Press, Beijing, 1995.