A constrained pseudo-Newton control strategy for nonlinear systems

Abstract: "The duality of control theory and the theory on the solution of operator equations has been exploited to develop a nonlinear control law. The control law is developed by analogy to Newton's method and several related properties are shown. To handle the state and control variable constraints, the method is generalized to include a Successive Quadratic Programming (SQP) algorithm. Stability properties for this algorithm have been studied. It was found that with large enough but finite sampling time, systems that are open-loop asymptotically stable in the large can approach the setpoint monotonically. Simulation results of two example problems demonstrate the effectiveness of the proposed strategy."