Nonlinear Adaptive H.INF. Control Systems for Bounded Variations of Parameters

概要

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A new class of adaptive nonlinear H∞ control systems for processes with bounded variations of parameters, is proposed in this manuscript. Those control schemes are derived as solutions of particular nonlinear H∞ control problems, where unknown system parameters are regarded as exogenous disturbances to the processes, and thus, in the resulting control systems, the L2 gains from system parameters to generalized outputs are made less than γ. The proposed control strategy can be applied to any time-varying (or time-invariant) systems, and the resulting control systems are bounded for arbitrarily large but bounded variations of time-varying parameters. Also, the control schemes are shown to be sub-optimal to some H∞ cost functionals (or certain differential games), when the high-frequency gains are time-invariant.
公益社団法人計測自動制御学会の論文