L2-Gain and Passivity in Nonlinear Control
L2-Gain and Passivity in Nonlinear Control
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发表时间：
1999-05
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通讯作者：
A. Schaft;A. J. Schaft
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作者：
A. Schaft;A. J. Schaft
从出版商：这本书给出了经典的输入输出稳定性理论和非线性鲁棒和基于无源控制的最新发展的统一处理。耗散系统理论提供了这些区域之间的综合。具体地说，小增益定理和无源定理及其对非线性稳定性和稳定化的意义从这个有利的角度进行了讨论。详细介绍了L增益与散射无源性之间的关系。“被动性概念通过广义的哈密顿形式主义得到了丰富，强调了通过互连与建模和控制的密切关系。讨论了被动系统的反馈等效性及其镇定策略。“L[下标2]-增益技术在非线性控制中的潜力被证明，包括非线性H[下标[无穷]]最优控制问题的紧凑处理。
From the Publisher: This book gives a unified treatment of classical input output stability theory and recent developments in nonlinear robust and passivity-based control. The synthesis between these areas is provided by the theory of dissipative systems. Specifically, the small-gain and passivity theorems and their implications for nonlinear stability and stabilization are discussed from this vantage-ground. The connection between L - gain and passivity via scattering is detailed." "The passivity concepts are enriched by a generalised Hamiltonian formalism, emphasising the close relations with modeling and control by interconnection. Feedback equivalence to a passive system and resulting stabilization strategies are discussed." "The potential of L[subscript 2] - gain techniques in nonlinear control is demonstrated, including a compact treatment of the nonlinear H[subscript [infinity]] optimal control problem.