Optimal non-linear robust control for non-linear uncertain systems

Wassim M. Haddad; Vijaysekhar Chellaboina; Jerry L. Fausz; Alexander Leonessa

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Optimal non-linear robust control for non-linear uncertain systems

机译：非线性不确定系统的最优非线性鲁棒控制

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In this paper we develop an optimality-based robust control framework for nonlinear uncertain systems with structured parametric uncertainty. Specifically, using an optimal nonlinear robust control framework, we develop a family of globally stabilizing robust backstepping controllers parametrized by the cost functional that is minimized. Furthermore, it is shown that the Lyapunov function for the closed-loop system guaranteeing robust stability over a prescribed range of structured system parametric uncertainty is a solution to the steady-state Hamilton-Jacobi-Bellman equation for the controlled system and thus guarantees robust stability and robust performance. The results are then used to design robust controllers for jet engine compression systems with uncertain system dynamics.

机译：在本文中，我们为具有结构化参数不确定性的非线性不确定系统开发了基于最优性的鲁棒控制框架。具体来说，使用最优的非线性鲁棒控制框架，我们开发了一系列以最小化成本函数为参数的全局稳定鲁棒反推控制器。此外，证明了在规定的结构化系统参数不确定性范围内保证鲁棒稳定性的闭环系统的Lyapunov函数是受控系统稳态Hamilton-Jacobi-Bellman方程的解决方案，从而保证了鲁棒稳定性和强大的性能。然后将结果用于设计具有不确定系统动力学的喷气发动机压缩系统的鲁棒控制器。

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《International Journal of Control》 |2000年第4期|共14页
作者
Wassim M. Haddad; Vijaysekhar Chellaboina; Jerry L. Fausz; Alexander Leonessa;
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正文语种 eng
中图分类控制论、信息论（数学理论）;自动化技术、计算机技术;
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1. Optimal non-linear robust control for non-linear uncertain systems [J] . Wassim M. Haddad, Vijaysekhar Chellaboina, Jerry L. Fausz, International Journal of Control . 2000,第4期

机译：非线性不确定系统的最优非线性鲁棒控制
2. Non-linear optimal fuzzy control synthesis for robust output tracking of uncertain micro-electro-mechanical systems [J] . Modirrousta Alireza, Zeini Mostafa Shokrian, Binazadeh Tahereh Transactions of the Institute of Measurement and Control . 2017,第8期

机译：非线性最佳模糊控制合成不确定微电机械系统的鲁棒输出跟踪
3. On the robustness of linear and non-linear fractional-order systems with non-linear uncertain parameters [J] . NDoye Ibrahima, Darouach Mohamed, Voos Holger, IMA Journal of Mathematical Control and Information . 2016,第4期

机译：具有非线性不确定参数的线性和非线性分数阶系统的鲁棒性
4. Robust passive fault-tolerant control for uncertain non-linear stochastic systems with distributed delays [C] . Su Lianqing, Zhu Xiaodan, Qiu Jiqing, Proceedings of the 29th Chinese Control Conference . 2010

机译：具有分布时滞的不确定非线性随机系统的鲁棒被动容错控制
5. Robust control of non-linear systems via adaptive sliding mode technique. [D] . Iragavarapu, Venkata R. 1995

机译：通过自适应滑模技术对非线性系统进行鲁棒控制。
6. A State Optimization Model Based on Kalman Filtering and Robust Estimation Theory for Fusion of Multi-Source Information in Highly Non-linear Systems [O] . Muhammad Adeel Akram, Peilin Liu, Muhammad Owais Tahir, 2019

机译：基于卡尔曼滤波和鲁棒估计理论的高度非线性系统多源信息融合状态优化模型
7. On the robustness of linear and non-linear fractional-order systems with non-linear uncertain parameters [O] . N'Doye, Ibrahima, Darouach, Mohamed, Voos, Holger, 2015

机译：具有非线性不确定参数的线性和非线性分数阶系统的鲁棒性
8. The Time-Optimal Control of a Class of Non-Linear Singularly Perturbed Systems. [R] . Javid, S. H. 1976

机译：一类非线性奇异摄动系统的时间最优控制。

Optimal non-linear robust control for non-linear uncertain systems

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