Stability criteria for bilinear systems with delayed state and saturating actuators

In this paper, the problem of the closed-loop stability of a class of bilinear systems with delayed state and saturating actuators is considered. Delay-independent sufficient conditions for the uniform asymptotic stability of the closed-loop system via a memoryless static state feedback are developed. The closed-loop stability conditions and the corresponding memoryless control laws are expressed in terms of symmetric positive definite solutions of appropriate finite dimensional algebraic Riccati equations.

[1]  On global stability of quadratic state feedback controlled linear systems , 1993 .

[2]  J. Quinn.  Stabilization of bilinear systems by quadratic feedback controls , 1980 .

[3]  Te-Jen Su,et al.  Stabilization of delay-dependence for saturating actuator systems , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[4]  Sophie Tarbouriech,et al.  Continuous-time saturated state feedback regulators: theory and design , 1994 .

[5]  Bor-Sen Chen,et al.  Stabilization of time-delay systems containing saturating actuators , 1988 .

[6]  Sophie Tarbouriech,et al.  Some independent-time-delay stabilization of linear systems with saturating controls , 1994 .

[7]  Daniel E. Koditschek,et al.  Stabilizability of second-order bilinear systems , 1983 .

[8]  E. Ryan,et al.  On asymptotically stabilizing feedback control of bilinear systems , 1983 .

[9]  Eduardo Sontag,et al.  Nonlinear output feedback design for linear systems with saturating controls , 1990, 29th IEEE Conference on Decision and Control.

[10]  Jin-Hoon Kim,et al.  A robust stability bound of linear systems with structured uncertainty , 1992 .

[11]  Sergej Čelikovský,et al.  On the stabilization of the homogeneous bilinear systems , 1993 .

[12]  Alberto Tesi,et al.  The output stabilization of SISO bilinear systems , 1988 .

[13]  A. Glattfelder,et al.  Stability analysis of single loop control systems with saturation and antireset-windup circuits , 1983 .

[14]  Bor-Sen Chen,et al.  The stability of feedback control with nonlinear saturating actuator: time domain approach , 1988 .

[15]  N. J. Krikelis.  State feedback integral control with ‘ intelligent’ integrators , 1980 .

[16]  S. Tarbouriech,et al.  Class of globally stable saturated state feedback regulators , 1992 .

[17]  Zongli Lin,et al.  Semi-global Exponential Stabilization of Linear Systems Subject to \input Saturation" via Linear Feedbacks , 1993 .

[18]  J. Douglas Faires,et al.  Numerical Analysis , 1981 .

[19]  Abdelaziz Hmamed,et al.  Further results on the stabilization of time delay systems containing saturating actuators , 1992 .