Design of robust optimal regulator considering state and control nonlinearities

被引：0

作者：

Rudposhti, Mohammad Khoshhal ^{[1
]}

Nekoui, Mohammad Ali ^{[2
]}

Teshnehlab, Mohammad ^{[2
]}

机构：

[1] Islamic Azad Univ, Sci & Res Branch, Dept Elect Engn, Tehran, Iran

[2] KN Toosi Univ Technol, Fac Elect Engn, Tehran, Iran

来源：

SYSTEMS SCIENCE & CONTROL ENGINEERING | 2018年 / 6卷 / 01期

关键词：

Nonlinear systems; robust control; optimal regulator; uncertainty; Lyapunov stability analysis; SDRE; power series algorithm (PSA);

D O I：

10.1080/21642583.2018.1471751

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Most real systems can be considered as a nonlinear and parameters of the systems may have uncertainties and external disturbances. Hence, in this paper, using the power series algorithm (PSA) based on State Dependent Riccati Equations (SDRE) and considering the proposed conditions that guarantee the asymptotic stability, the optimal regulator problem for a particular class of nonlinear systems is solved. Also, according to the specified pattern in the modified PSA (MPSA) method, weighting matrices are used as a function of state variables to achieve the better regulatory responses. Simulations are carried out on the Lorenz's chaotic system with uncertainties and external disturbances. The efficiency of optimal regulators the PSA and the MPSA methods in eliminating the external disturbances and being robust to uncertainties are compared together. The results show that the values of the performance index and the control cost in the MPSA method are smaller than the PSA method. Then the regulatory response in the MPSA method is more efficient.

引用

页码：150 / 159

页数：10

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