Safe Reconfigurability of a Class of Nonlinear Interconnected Systems

In this paper, based on the small-gain theorem of large-scale interconnected systems, we study the convergence performance of nonlinear interconnected systems with cycles, and establish a safely reconfigurable condition for the control law of each subsystem, which is applied to design fault-tolerant control (FTC) schemes. Both individual and cooperative FTC methods are presented in this paper by redesigning the controller of each subsystem and adjusting the interconnected gain between subsystems to ensure that the trajectories of states do not exceed the given safety bound.

[1]  N. Eva Wu,et al.  Control reconfigurability of linear time-invariant systems , 2000, Autom..

[2]  David J. Hill.  A generalization of the small-gain theorem for nonlinear feedback systems , 1991, Autom..

[3]  Zhong-Ping Jiang,et al.  Small-gain theorem for ISS systems and applications , 1994, Math. Control. Signals Syst..

[4]  Bin Jiang,et al.  Decentralized Fault Tolerant Control for a Class of Interconnected Nonlinear Systems , 2018, IEEE Transactions on Cybernetics.

[5]  Xiang Yu,et al.  A survey of fault-tolerant controllers based on safety-related issues , 2015, Annu. Rev. Control..

[6]  Zhong-Ping Jiang,et al.  A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems , 1996, Autom..

[7]  Zhong-Ping Jiang,et al.  A small-gain principle for network stability and control: An overview and recent results , 2018 .

[8]  Eduardo D. Sontag,et al.  Input to State Stability , 2019, Encyclopedia of Systems and Control.

[9]  Marcel Staroswiecki,et al.  Fault recoverability and fault tolerant control for a class of interconnected nonlinear systems , 2015, Autom..

[10]  Fabian R. Wirth,et al.  Small gain theorems for large scale systems and construction of ISS Lyapunov functions , 2009, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[11]  J. von Neumann,et al.  Probabilistic Logic and the Synthesis of Reliable Organisms from Unreliable Components , 1956 .

[12]  Eduardo Sontag,et al.  On characterizations of the input-to-state stability property , 1995 .

[13]  JinJiang.  Fault-tolerant Control Systems--An Introductory Overview , 2005 .

[14]  Jan Lunze,et al.  Reconfigurable Fault-tolerant Control: A Tutorial Introduction , 2008, Eur. J. Control.

[15]  Eduardo Sontag.  Further facts about input to state stabilization , 1990 .

[16]  David J. Hill,et al.  Lyapunov formulation of ISS cyclic-small-gain in continuous-time dynamical networks , 2011, Autom..

[17]  Zhong-Ping Jiang,et al.  A generalization of the nonlinear small-gain theorem for large-scale complex systems , 2008, 2008 7th World Congress on Intelligent Control and Automation.

[18]  Marcel Staroswiecki,et al.  Fault‐tolerant control of distributed systems by information pattern reconfiguration , 2015 .