T-S model-based nonlinear moving-horizon H∞ control and applications

  • Authors:

  • Ping Wang;Shuyou Yu;Hong Chen

  • Affiliations:

  • Department of Control Science and Engineering, Jilin University, NanLing Campus, 130025 Changchun, PR China;Department of Control Science and Engineering, Jilin University, NanLing Campus, 130025 Changchun, PR China;Department of Control Science and Engineering, Jilin University, NanLing Campus, 130025 Changchun, PR China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2013

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Abstract

Using a T-S fuzzy model, we propose a formulation for a moving horizon H"~ control problem for nonlinear systems. Our main contribution is combination of T-S fuzzy models and a moving horizon H"~ control scheme by Chen and Scherer to address the disturbance attenuation of nonlinear constrained system. A sufficient condition for the disturbance amplitude is given to guarantee the feasibility of the optimization problem at each time. A parameter-dependent state feedback control law is adopted, and the corresponding optimization problem is reduced to a convex optimization problem involving linear matrix inequalities (LMIs). The H"~ attenuation index for the nonlinear moving horizon H"~ control problem is adapted online to satisfy time-domain constraints. Finally, the effectiveness of the proposed scheme is successfully demonstrated by control of a continuous stirred tank reactor and active queue management for routers.