Discrete‐time nonlinear controller synthesis by input/output linearization

Abstract

This work concerns the synthesis of discrete-time nonlinear controllers for nonlinear processes that make the closed-loop system linear in an input/output sense.The synthesis of state feedback controllers is studied first, followed b.y the synthesis of dynamic output feedback controllers. Both problems are solved within the globally linearizing control ( GLC) framework. Precise theoretical connections between the derived controllers and model algorithmic control ( M A C ) are established. The theory is illustrated by a chemical reactor example.

Model predictive control technique combined with iterative learning for batch processes

“…linearization-based control Lee and Datta, 1994 , feedback Ž . linearization Soroush andKravaris, 1992 , adaptive control ŽCabassud et al, 1989;Fileti and Pereira, 1997;Wang et al, . Ž .…”

Discrete-time modeling and input-output linearization of current-fed induction motors for torque and stator flux decoupled control

“…The theoretical foundations of the feedback linearization and the basic control design techniques extended for discrete-time systems can be found in [15,16]. Here it will be only noted that the basic structure of a control system using such control laws consists of two loops -an inner one, in which the linearization is achieved, and an outer, linear loop, where the linear controller attributes the desired dynamics of the overall system.…”

“…This, in turn gives the possibility to obtain an exact discrete-time representation of the speed dynamics, assuming it linear, as follows: (16) The overall discretization scheme is illustrated in Fig. 1.…”

A Novel Method for the Design of Switching Surfaces for Discretized MIMO Nonlinear Systems

“…Additional design problems, such as unobservable states, can be minimized using state vector estimation or predictors (see, e.g., Pai, 2008;Wang et al, 2011). In addition, it is known that for discrete time systems (Soroush and Kravaris, 1992) delays only modify the relative degree of the state space dynamics. Thus, time delay compensation can be made using some additional scheme such as the one proposed by Sira-Ramírez (1991).…”