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• W2890952413 abstract "Summary The question of how to construct a noniterative analytical solution for nonlinear H ∞ control is still an open challenge. This paper focuses on this challenge and proposes a novel simple approach, namely, polynomial nonlinear control, to design a nonlinear H ∞ control law without any iteration. Moreover, the solution of PNC is transformed into solvable LMIs. The design of PNC can be carried out in three steps: firstly, expand nonlinear system matrices via Taylor series expansions; secondly, choose and compute design parameters according to the proposed explicit formulas; and thirdly, obtain an analytical control law of PNC by solving an LMI optimization problem. Thus, the algorithm and the computation of PNC are quite simple and straightforward in engineering. In addition, stability and L 2 gain for the nonlinear closed‐loop system are also guaranteed by PNC. The numerical simulations show that PNC can improve the control performances including transient responses, disturbance rejection, control effort, and the domain of attraction." @default.
• W2890952413 created "2018-09-27" @default.
• W2890952413 creator A5033100112 @default.
• W2890952413 date "2018-09-12" @default.
• W2890952413 modified "2023-10-14" @default.
• W2890952413 title "A simple nonlinear<i>H</i>_<i>∞</i>control design method: Polynomial nonlinear control" @default.
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• W2890952413 doi "https://doi.org/10.1002/rnc.4322" @default.
• W2890952413 hasPublicationYear "2018" @default.
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