Constrained Nonlinear Control Performance And Robustness

Constrained Nonlinear Control: Performance and Robustness

This book is concerned with nonlinear control with performance-related and system-ability-related constraints. It presents novel work on several kinds of commonly encountered nonlinear systems, including those with stricter transient performance requirements, those with two types of constraints, those with no initial-condition limitation, and those with limited resources. It shows how nonlinear systems with severe constraints can be successfully controlled with our powerful control design. Typically, the book discusses a Tunnel Prescribed Control for achieving enhanced performance; provides a comprehensive solution, namely, Saturation-tolerant Prescribed Control, to handle the conflict between constraints; and then develops a Self-adjustable Prescribed Control to address the defined Entry Capture Problem that performance constraints are satisfied after (rather than from the beginning of) system operation. As such, the book will be of interest to researchers and graduate students in the fields of nonlinear systems, constrained control, and control engineering who would like to find out about the performance, robustness, and applications of constrained nonlinear systems.

Model Predictive Control for Constrained Nonlinear Systems

Performance and Constraint Satisfaction in Robust Economic Model Predictive Control

In this thesis, we develop a novel framework for model predictive control (MPC) which combines the concepts of robust MPC and economic MPC. The goal of this thesis is to develop and analyze MPC schemes for nonlinear discrete-time systems which explicitly consider the influence of disturbances on arbitrary performance criteria. Instead of regarding the two aspects separately, we propose robust economic MPC approaches that integrate information which is available about the disturbance directly into the economic framework. In more detail, we develop three concepts which differ in which information about the disturbance is used and how this information is taken into account. Furthermore, we provide a thorough theoretical analysis for each of the three approaches. To this end, we present results on the asymptotic average performance as well as on optimal operating regimes. Optimal operating regimes are closely related to the notion of dissipativity, which is therefore analyzed for the presented concepts. Under suitable assumptions, results on necessity and sufficiency of dissipativity for optimal steady-state operation are established for all three robust economic MPC concepts. A detailed discussion is provided which compares the different performance statements derived for the approaches as well as the respective notions of dissipativity.