Robust dynamic compensator for a class of time delay systems containing saturating control input

This paper studies the problem of robust stabilization for uncertain time delay systems subject to saturating actuator. Under certain conditions, a dynamic compensator, which uses only the accessible output variables, is synthesized to achieve the stabilization for a class of constraint time delay systems. In contrast to the previous works, the global stabilization can also be achieved even with an unstable system matrix. Last, an example is included to illustrate the results developed in this paper.

[1]  Ruth F. Curtain,et al.  Finite dimensional compensators for infinite dimensional systems with unbounded input operators , 1986 .

[2]  Tomasz Kapitaniak,et al.  Evaluation of the largest Lyapunov exponent in dynamical systems with time delay , 2005 .

[3]  D. Salamon.  On controllability and observability of time delay systems , 1984 .

[4]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[5]  Said Oucheriah.  Adaptive Control of a Class of Uncertain Dynamic Delay Systems , 1999 .

[6]  Bor-Sen Chen,et al.  Memoryless stabilization of uncertain dynamic delay systems: Riccati equation approach , 1991 .

[7]  Keiji Watanabe.  Stabilization of linear systems with non-commensurate delays , 1988 .

[8]  Said Oucheriah,et al.  Global stabilization of a class of linear continuous time-delay systems with saturating controls , 1996 .

[9]  Stanislaw Zak,et al.  On spectrum placement for linear time invariant delay systems , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[10]  Bor-Sen Chen,et al.  Dynamical Feedback Compensator for Uncertain Time-Delay Systems Containing Saturating Actuator , 1989 .

[11]  Palaniappan Kannappan.  Theory of functional equations , 1969 .

[12]  T. N. Lee,et al.  General decentralized stabilization of large-scale linear continuous and discrete time-delay systems , 1987 .

[13]  Zheng-Ming Ge,et al.  Control, anticontrol and synchronization of chaos for an autonomous rotational machine system with time-delay , 2005 .

[14]  Kok Lay Teo,et al.  Robust global exponential synchronization of general Lur’e chaotic systems subject to impulsive disturbances and time delays☆ , 2005 .

[15]  J. Pearson,et al.  Pole placement using dynamic compensators , 1970 .

[16]  Changchun Hua,et al.  Robust control of time-delay chaotic systems , 2003 .

[17]  Jason Sheng-Hong Tsai,et al.  Continuous Sliding Mode Control for Systems Subjected to Nonlinear Multiple Time-Varying Delayed Perturbations , 1997 .