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Adding one power integrator: a tool for global stabilization of high-order lower-triangular systems. (English) Zbl 0948.93056
Summary: A new feedback design tool called “adding a power integrator” is introduced and used to solve the problem of global robust stabilization, for a significant class of uncertain nonlinear systems that are of a lower-triangular form but neither necessarily feedback linearizable (fully or partially) nor affine in the control input, and therefore cannot be dealt with via conventional approaches. Sufficient conditions are presented under which a globally stabilizing smooth state feedback control law can be explicitly constructed, using repeatedly the “adding one power integrator” technique. This novel design technique permits removal of the feedback linearizability and linearity of the control input, which have been two common assumptions so far in the literature of nonlinear control.
93D21Adaptive or robust stabilization
93C10Nonlinear control systems
93D15Stabilization of systems by feedback