论文信息 - On the order of nonlinear time-invariant stabilizing controllers

On the order of nonlinear time-invariant stabilizing controllers

Abstract Here we consider the problem of stabilizing a finite-dimensional, stabilizable and detectable, linear time-invariant (LTI) plant in the sense that the plant state goes to zero while the controller state converges. With r the dimension of the plant output, we show that there exists a nonlinear time-invariant controller of order r +3 which stabilizes all such systems.

Daniel E. Miller

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