A safe-parking and safe-switching framework for fault-tolerant control of switched nonlinear systems

This work considers the problem of handling actuator faults in switched nonlinear systems that transit between multiple modes subject to input constraints. The faults considered preclude the possibility of operation at the nominal equilibrium point in the active mode. For the case where the switching schedule is fixed, a safe-parking scheme is designed, which accounts for the switched nature, to operate the system at temporary equilibrium points during fault-repair time and allow resumption of nominal operation after fault repair. For the case where the switching schedule is adjustable, a safe-switching scheme is designed, which exploits the switched nature, to switch the system to a mode (if exists and available) where nominal operation can be preserved (through control structure reconfiguration when necessary) to continue nominal operation. The proposed framework is demonstrated via a switched process example, as well as application to a polymerisation process of methyl methacrylate.

[1]  P. Mhaskar,et al.  Enhanced stability regions for model predictive control of nonlinear process systems , 2008, 2008 American Control Conference.

[2]  C. Kravaris,et al.  Feedforward/feedback control of multivariable nonlinear processes , 1990 .

[3]  Panagiotis D. Christofides,et al.  Predictive control of switched nonlinear systems with scheduled mode transitions , 2005, IEEE Transactions on Automatic Control.

[4]  M. Branicky Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[5]  Prodromos Daoutidis,et al.  Stabilization of nonlinear processes with input constraints , 2000 .

[6]  Ravindra D. Gudi,et al.  Optimal grade transition in polymerization reactors: A comparative case study , 2006 .

[7]  Prashant Mhaskar,et al.  Safe-parking of nonlinear process systems : Handling uncertainty and unavailability of measurements , 2008 .

[8]  N. El‐Farra,et al.  Robust predictive control of switched systems: Satisfying uncertain schedules subject to state and control constraints , 2008 .

[9]  Panagiotis D. Christofides,et al.  Isolation and handling of actuator faults in nonlinear systems , 2008, at - Automatisierungstechnik.

[10]  Yuandan Lin,et al.  A universal formula for stabilization with bounded controls , 1991 .

[11]  João Pedro Hespanha,et al.  Switching between stabilizing controllers , 2002, Autom..

[12]  Zidong Wang,et al.  Stochastic reliable control of a class of uncertain time-delay systems with unknown nonlinearities , 2001 .

[13]  Masoud Soroush,et al.  Shortest-prediction-horizon non-linear model-predictive control with guaranteed asymptotic stability , 2007, Int. J. Control.

[14]  Masoud Soroush,et al.  Analytical control of SISO nonlinear processes with input constraints , 1998 .

[15]  V. Borkar,et al.  A unified framework for hybrid control: model and optimal control theory , 1998, IEEE Trans. Autom. Control..

[16]  John P. Congalidis,et al.  Feedforward and feedback control of a solution copolymerization reactor , 1989 .

[17]  Prashant Mhaskar,et al.  Robust Model Predictive Control Design for Fault-Tolerant Control of Process Systems , 2006 .

[18]  Panagiotis D. Christofides,et al.  Output feedback control of switched nonlinear systems using multiple Lyapunov functions , 2001, Proceedings of the 2005, American Control Conference, 2005..

[19]  N. R. Basila,et al.  A Model-Object based Supervisory Expert System for Fault Tolerant Chemical Reactor Control , 1989, 1989 American Control Conference.

[20]  Ignacio E. Grossmann,et al.  Discrete Optimization Methods and their Role in the Integration of Planning and Scheduling , 2001 .

[21]  Heinz Unbehauen,et al.  Robust reliable control for a class of uncertain nonlinear state-delayed systems , 1999, Autom..

[22]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[23]  Panagiotis D. Christofides,et al.  Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control , 2005, Proceedings of the 2005, American Control Conference, 2005..

[24]  Panagiotis D. Christofides,et al.  Control of Nonlinear and Hybrid Process Systems: Designs for Uncertainty, Constraints and Time-Delays , 2005 .

[25]  Nikolaos Kazantzis,et al.  Parametric Optimization of Digitally Controlled Nonlinear Reactor Dynamics using Zubov-like Functional Equations , 2005 .

[26]  David Q. Mayne,et al.  Constrained model predictive control: Stability and optimality , 2000, Autom..

[27]  Prashant Mhaskar,et al.  Safe-parking of nonlinear process systems , 2008, 2008 American Control Conference.

[28]  Iasson Karafyllis,et al.  Robust output feedback stabilization and nonlinear observer design , 2005, Syst. Control. Lett..

[29]  Nikolaos Kazantzis,et al.  A new Lyapunov design approach for nonlinear systems based on Zubov's method , 2002, Autom..