Multi-model control of nonlinear systems using closed-loop gap metric

Structural Robustness and Multi-Model Control in Gap Metric

“…At last, a new multi-model control method for nonlinear system is presented, where the total output of the controller can be obtained by that of the local controller which is weighted in gap metric. The simulations of a highly nonlinear system are studied to illustrate the effective of the new approach, which is superior to [15].…”

“…Without any loss of generality, an simulation example is adopted from [15]. The plant is a highly nonlinear reactor, whose differential equations are Table 1.…”

“…These linearized nominal models are controlled using optimal robust controllers, each of which is designed so that every local closed-loop system has largest generalized stability margin. Then the output of the global controller can be calculated according equations (15) and (16).…”

Multi-Model Approaches for Bilinear Predictive Control

“…It is well known that linear controllers can exhibit serious performance limitations when applied to nonlinear systems since nominal linear models used during design cannot represent the nonlinear plant in its whole operating range (Arslan et al, 2004). For this reason, several researches has been proposed new techniques in order to supply a solution for this problem.…”

“…There are, basically, two approaches for multi-model. The first one consists of to design a set of suitable controllers (one for each operating regime) and to calculate weighting factors to them as showed in (Arslan et al, 2004) and (Cavalcanti et al, 2007a). The global control signal is a weighting sum of the contributions of each controller.…”