ON THE STABILITY OF OUTPUT FEEDBACK PREDICTIVE CONTROL FOR SYSTEMS WITH INPUT NONLINEARITY
ABSTRACT For input saturated Hammerstein systems, a two-step output feedback predictive control (TSOFPC) scheme is adopted. A receding horizon state observer is chosen, the gain matrix of which has a form similar to the linear control law. Through application of Lyapunov's stability theory, the closed-loop stability for this kind of system is analyzed. The intermediate variable may or may not be available in real applications, and these two cases are considered separately in this paper. Furthermore, the domain of attraction for this kind of system is discussed, and we prove that it can be tuned to be arbitrarily large if the system matrix is semi-stable. The stability results are validated by means of an example simulation.
- SourceAvailable from: Kevin Warwick[show abstract] [hide abstract]
ABSTRACT: A nonlinear general predictive controller (NLGPC) is described which is based on the use of a Hammerstein model within a recursive control algorithm. A key contribution of the paper is the use of a novel, one-step simple root solving procedure for the Hammerstein model, this being a fundamental part of the overall tuning algorithm. A comparison is made between NLGPC and nonlinear deadbeat control (NLDBC) using the same one-step nonlinear components, in order to investigate NLGPC advantages and disadvantagesControl Theory and Applications, IEE Proceedings D [see also IEE Proceedings-Control Theory and Applications] 02/1991;
- 01/1970; Academic Press., ISBN: 978-0-12-528550-6
Conference Proceeding: Robust control of uncertain systems with input delay and input sector nonlinearity[show abstract] [hide abstract]
ABSTRACT: In this paper, we investigate a robust control method for some nonlinear control problems with an input delay. By letting input nonlinearity in the sector bounds as a new diagonal structured uncertainty, we transform the control problems with input nonlinearity into the robust control problems of linear systems with only structured uncertainty. Applying this idea, we obtain linear matrix inequality (LMI) conditions for delay-dependent robust stabilization of structured uncertain systems with input delay and input sector nonlinearity. In addition to LMI for the fixed input nonlinearity, we also propose an iterative LMI optimization algorithm to find robust input sector bounds such that the given uncertain system is stable for any input nonlinearity in these sector boundsDecision and Control, 2000. Proceedings of the 39th IEEE Conference on; 02/2000