Acceleration of finite-time stable homogeneous systems

作者：Dvir Y.; Levant A.^*; Efimov D.; Polyakov A.; Perruquetti W.

来源：International Journal of Robust and Nonlinear Control, 2018, 28(5): 1757-1777.

DOI：10.1002/rnc.3984

• finite-time stability
• homogeneous systems
• sliding-mode control
• uncertain systems

Stabilization rates of power-integrator chains are easily regulated. It provides a framework for acceleration of uncertain multiple-input-multiple-output dynamic systems of known relative degrees (RDs). The desired rate of the output stabilization (sliding-mode control) is ensured for an uncertain system if its RD is known, and a rough approximation of the high-frequency gain matrix is available. The uniformly bounded convergence time (fixed-time stability) is obtained as a particular case. The control can be kept continuous everywhere except the sliding-mode set if the partial RDs are equal. Similarly, uncertain smooth systems of complete multiple-input-multiple-output RDs (ie, lacking zero dynamics) are stabilized by continuous control at their equilibria in finite time and are accelerated. Output-feedback controllers are constructed. Computer simulation demonstrates the efficiency of the proposed approach.

• 出版日期2018-3-25
• 单位INRIA