Application of absolute stability theory to robust control against loss of actuator effectiveness

The problem studied here is passive fault tolerant control (FTC) for actuator faults as a result of loss of effectiveness. This FTC problem is formulated in the dasiaabsolute stability theory frameworkdasia. Based on this formulation, different tools from absolute stability theory are applied. Four controllers are proposed for four problem settings: (a) LTI certain plants, (b) uncertain LTI plants, (c) LTI models with input saturations and (d) non-linear affine single-input plants. The proposed controllers are tested on the hovercraft numerical example.

[1]  M. R. Liberzon Essays on the absolute stability theory , 2006 .

[2]  Jianliang Wang,et al.  Reliable robust flight tracking control: an LMI approach , 2002, IEEE Trans. Control. Syst. Technol..

[3]  J. Stoustrup,et al.  An architecture for fault tolerant controllers , 2005 .

[4]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

[5]  Midori Maki,et al.  A stability guaranteed active fault‐tolerant control system against actuator failures , 2004 .

[6]  Tingshu Hu,et al.  Absolute stability with a generalized sector condition , 2004, IEEE Transactions on Automatic Control.

[7]  Jakob Stoustrup,et al.  Reliable control using the primary and dual Youla parameterizations , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[8]  Louis Weinberg,et al.  Network Analysis and Synthesis , 1962 .

[9]  Kristin Ytterstad Pettersen,et al.  Global uniform asymptotic stabilization of an underactuated surface vessel: experimental results , 2004, IEEE Transactions on Control Systems Technology.

[10]  Chaouki T. Abdallah,et al.  Static output feedback: a survey , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[11]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[12]  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).

[13]  Marios M. Polycarpou,et al.  Adaptive fault-tolerant control of nonlinear uncertain systems: an information-based diagnostic approach , 2004, IEEE Transactions on Automatic Control.

[14]  Xuerong Mao,et al.  Exponential stability of stochastic delay interval systems with Markovian switching , 2002, IEEE Trans. Autom. Control..

[15]  J. P. Lasalle,et al.  Absolute Stability of Regulator Systems , 1964 .

[16]  Mrdjan J. Jankovic,et al.  Constructive Nonlinear Control , 2011 .

[17]  Ljubomir T. Grujic,et al.  On robustness of Lurie systems with multiple non-linearities , 1987, Autom..

[18]  Francesco Amato,et al.  Robust Control of Linear Systems Subject to Uncertain Time-Varying Parameters , 2006 .

[19]  Lorenzo Marconi,et al.  Implicit fault-tolerant control: application to induction motors , 2004, Autom..

[20]  Gang Tao,et al.  An adaptive actuator failure compensation controller using output feedback , 2002, IEEE Trans. Autom. Control..