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An integrated multimodel control design procedure with its supporting gap metric based dividing algorithm is proposed, which integrates the multimodel decomposition and the local controller design of a nonlinear system through an improved gap metric based dividing algorithm and the H ∞ loop-shaping technique. In this design procedure, desired local stability, static performance, and dynamic performance are incorporated into the system decomposition and local model set determination. Hence the closed-loop performance and stability are improved. Moreover, the right local model set for multimodel controller design is obtained, which avoids local model redundancy and simplifies the multimodel controller structure. Two nonlinear chemical systems are studied to illustrate the effectiveness of the proposed procedure.

This article introduces the multilinear model control approach to SISO Hammerstein-like systems. An included angle dividing method is proposed to decompose the operating spaces and determine linear model banks for SISO Hammerstein-like systems through measuring the nonlinearity of the static IO curves. On the basis of the linear model bank, the MLD-MPC strategy is employed for set-point tracking control. Two chemical processes are studied using the proposed included angle dividing method and MLD-MPC strategy. Closedloop simulations demonstrate that the proposed dividing method is useful and effective for the multilinear model approach and the MLD-MPC strategy is excellent for nonlinear systems.

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