Adding one power integrator: a tool for global stabilization of high-order lower-triangular systems

By Wei Lin, Chunjiang Qian. 2000

566 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/5d8d3ce76592a014e0401ac09f2b0885647fb811

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In Control and Systems Engineering

1. Shihua Li
2. Chunjiang Qian
3. Shihong Ding
4. Wei Lin
5. Zong-yao Sun
6. Qi Li
7. Xiangze Lin
8. Chih‐Chiang Chen

Citations in the corpus

• State-Feedback Stabilization for High-Order Stochastic Nonlinear Systems with Stochastic Inverse Dynamics (2007, unknown): “INTRODUCTION Let us only consider a class of simple nonlinear systems described by ’z ¼ f ðz;x1Þ ’xi ¼ xpiiþ1 þ j T i ð %xiÞy; i ¼ 1; . . . ; n 1 ’xn ¼ upn þ jTn ð %xnÞy ð1Þ where z 2 Rm; x ¼ ðx1; . . . ;xnÞT and u are the states and control input, respectively, pi; i ¼ 1; . . . ; n; are positive…”
• Stability analysis for a second-order continuous finite-time control system subject to a disturbance (2009, methodology): “The finite-time control law design is based on a modified method of adding a power integrator originated from [ 23 , 24].”
• Smooth output feedback stabilization for a class of nonlinear systems with time‐varying powers (2017, methodology): “To solve the aforementioned difficulties and fill the gap of lacking methods in the literature for the unsolved global stabilization problem of system (1), in this paper, we first design a smooth state feedback globally stabilizing controller by revamping the adding a power integrator technique [11,”
• A continuous feedback approach to global strong stabilization of nonlinear systems (2001, methodology): “A main contribution of the work [22] was the development of a novel feedback design method called a ding a power integrator.”
• Adaptive control of nonlinearly parameterized systems: the smooth feedback case (2002, background): “A key feature of the adding a power integrator technique [19], [20] is that it only requires the knowledge of the upper bound of nonlinearities whose exact information needs not to be known.”
• Adaptive control of nonlinearly parameterized systems: a nonsmooth feedback framework (2002, methodology): “For example, a chain of power integrators perturbed by a triangular vector field [6], [18], [24], [28] is a special case of (13), when , and , for .”