L∞ performance analysis for singular Lipschitz systems with actuator saturation and actuator fault

The L∞ performance analysis problem for a class of singular Lipschitz systems in the presence of both actuator saturation and actuator fault is studied in this paper. Different from the previous result where the designed controller is of saturation avoidance form, a saturation allowance criterion is established to ensure the closed-loop system regular and impulse-free as well as the existence and uniqueness of the solution under actuator saturation and fault. It is shown that no information about the initial state is needed in such a case. The maximal disturbances tolerance capability and the disturbance rejection capacity can be obtained within the framework of the optimization problems with convex constraints. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

[1]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[2]  Yuanqing Xia,et al.  Control for discrete singular hybrid systems , 2008, Autom..

[3]  F. Lewis.  A survey of linear singular systems , 1986 .

[4]  Lv Liang,et al.  Analysis and design of singular linear systems under actuator saturation and L2/L∞ disturbances , 2008, 2008 27th Chinese Control Conference.

[5]  Sophie Tarbouriech,et al.  Synthesis of controllers for continuous-time delay systems with saturating controls via LMIs , 2000, IEEE Trans. Autom. Control..

[6]  Jie Chen,et al.  Robust Model-Based Fault Diagnosis for Dynamic Systems , 1998, The International Series on Asian Studies in Computer and Information Science.

[7]  Tingshu Hu,et al.  An analysis and design method for linear systems subject to actuator saturation and disturbance , 2002, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[8]  L. Dai,et al.  Singular Control Systems , 1989, Lecture Notes in Control and Information Sciences.

[9]  Liang Lu,et al.  Analysis and design of singular linear systems under actuator saturation and L2/linfintyA disturbances , 2008, Syst. Control. Lett..

[10]  Derong Liu.  Control Systems With Actuator Saturation: Analysis And Design by T. Hu and Z. Lin; Birkhäuser, Boston, 2001, xvi + 392pp., ISBN 0‐8176‐4219‐6 , 2004 .

[11]  Daniel W. C. Ho,et al.  Generalized quadratic stability for continuous-time singular systems with nonlinear perturbation , 2006, IEEE Transactions on Automatic Control.

[12]  Tingshu Hu,et al.  Control Systems with Actuator Saturation: Analysis and Design , 2001 .

[13]  Guang-Hong Yang,et al.  Adaptive Reliable $H_{\infty}$ Filtering Against Sensor Failures , 2007, IEEE Transactions on Signal Processing.

[14]  Liang Lu,et al.  Set Invariance Conditions for Singular Linear Systems Subject to Actuator Saturation , 2007, 2006 Chinese Control Conference.

[15]  Izumi Masubuchi,et al.  PII: S0005-1098(96)00193-8 , 2003 .

[16]  Weiyao Lan,et al.  Semiglobal stabilization and output regulation of singular linear systems with input saturation , 2003, IEEE Trans. Autom. Control..

[17]  Daniel W. C. Ho,et al.  Fault tolerant control for singular systems with actuator saturation and nonlinear perturbation , 2010, Autom..

[18]  Zongli Lin,et al.  Set Invariance Conditions for Singular Linear Systems Subject to Actuator Saturation , 2007, IEEE Transactions on Automatic Control.

[19]  D. Ho,et al.  Set invariance analysis for Lipschitz continuous singular systems subject to actuator saturation , 2011, 2011 8th Asian Control Conference (ASCC).

[20]  Jong-Tae Lim,et al.  On Stability of Singular Systems with Saturating Actuators , 2003, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..