Linear quadratic regulation for linear continuous-time systems with distributed input delay

Proceedings of the 27th Chinese Control Conference, CCC

Volumn , Issue , 2008, Pages 195-199

  Liu, Shuai ^a   Xie, Lihua ^a   Zhang, Huanshui ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b SHANDONG UNIVERSITY   (China)

Author keywords

Distributed delay; LQR; Partial differential equation

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); LYAPUNOV METHODS; NONLINEAR CONTROL SYSTEMS; OPTICAL BISTABILITY; PARTIAL DIFFERENTIAL EQUATIONS; QUADRATIC PROGRAMMING; SYSTEM STABILITY;

ANALYTICAL SOLUTIONS; CONVERGENCE AND STABILITY; DISTRIBUTED DELAY; INFINITE HORIZONS; INFINITE-DIMENSIONAL SYSTEMS; INPUT DELAYS; LINEAR CONTINUOUS-TIME SYSTEMS; LINEAR QUADRATIC REGULATION; LINEAR QUADRATIC REGULATION PROBLEM; LQR; LQR CONTROL; LQR CONTROLLER; LQR PROBLEM; OUTPUT DELAYS; PARTIAL DIFFERENTIAL; PARTIAL DIFFERENTIAL EQUATION;

CONTINUOUS TIME SYSTEMS;

EID: 52449097289     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CHICC.2008.4605884     Document Type: Conference Paper

References (13)

1. AGGARWAL J K. Feedback control of linear systems with distributed delay. Automatica, 1973, 9(3): 367-379.
2. BENSOUSSAN A, DA PRATO G, DELFOUR M C, et al. Representation and Control of Infinite Dimensional Systems. Verlag Basel, Switzerland, Switzerland: Birkhäuser, 2007.
3. CHYUNG D. Discrete systems with delays in control. IEEE Transactions on Automatic Control, 1969, 14(2): 196-197.
4. DELFOUR M C, MCCALLA C, MITTER S K, et al. Stability and the infinite-time quadratic cost problem for linear hereditary differential systems. SIAM Journal on Control, 1975, 13(1): 48-88.
5. FIAGBEDZI Y A, PEARSON A E. A multistage reduction technique for feedback stabilizing distributed time-lag systems. Automatica, 1987, 23(3): 311-326.
6. HASSIBI B, SAYED A H, KAILATH T, et al. Indefinitequadratic Estimation and Control: A Unified Approach to H2 and H1 Theories. Society for Industrial and Applied Mathematics, 1999.
7. ITO K, TRAN H T. Linear quadratic regulator problem for infinite dimensional linear systems with delays in control. In Proceedings of the 27th IEEE Conference on Decision and Control, 1988: 2012-2017.
8. LIU S, XIE L, ZHANG H, et al. Linear quadratic regulation for discrete-time systems with multiple delays in single input channel, to appear IFAC WC, 2008.
9. OLBROT A. Stabilizability, detectability, and spectrum assignment for linear autonomous systems with general time delays. IEEE Transactions on Automatic Control, 1978, 23(5): 887-890.
10. PAZY A. Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer, 1983.
11. VINTER R B, KWONG R H. The infinite time quadratic control problem for linear systems with state and control delays: An evolution equation approach. SIAM Journal on Control and Optimization, 1981, 19(1): 139-153.
12. ZHANG H, XIE L. Control and Estimation of Systems with Input/Output Delays. Berlin: Springer, 2007.
13. ZHANG H, XIE L. Optimal estimation and control for systems with timevary delay, to appear, 2007.