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Nonlinear controllers for nonlinear systems with input nonlinearities
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DOI：10.1016/S0016-0032(98)00003-9.png)
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In this paper we develop an optimality-based nonlinear control framework for nonlinear systems with time-invariant sector-bounded memoryless input nonlinearities. Specifically, using an optimal nonlinear control framework we develop a family of globally stabilizing controllers parameterized by the cost functional that is minimized. Furthermore, it is shown that the control Lyapunov function guaranteeing closed-loop stability over a prescribed set of input nonlinearities is a solution to the steady-state Hamilton-Jacobi-Bellman equation for the controlled system and thus guarantees stability and performance. (C) 1999 The Franklin Institute. Published by Elsevier Science Ltd. All rights reserved.
Keyword:
nonlinear control
saturation control
input nonlinearities
Hamilton-Jacobi-Bellman conditions
control Lyapunov functions
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IF:
3.7
论文数:
6.4K
被引数:
1.5W
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