A Formal Solution of the Quadratic Optimal Control for Nonlinear Systems

被引：0

作者：

Rusnak, Ilan ^{[1
]}

Levy, Maital ^{[1
]}

机构：

[1] RAFAEL, POB 2250, IL-3102102 Haifa, Israel

来源：

2021 29TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED) | 2021年

关键词：

D O I：

10.1109/MED51440.2021.9480204

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A formal explicit, exact, in closed form representation of the solution of the quadratic optimal control of nonlinear systems problem, is presented. This is motivated by the recently derived optimal estimator of nonlinear systems based on the deterministic approach to estimation. As for linear systems, the solution for nonlinear systems is not causal thus cannot be solved in real-time. For scalar nonlinear systems, it is the optimal solution. It is formal as it depends on the State-Dependent-Coefficient form representation of a nonlinear system that is not unique for systems of order greater than one. This new representation shows that the State-Dependent Riccati Equation-based approach to the control of nonlinear systems is far from the optimum.

引用

页码：1019 / 1023

页数：5

共 50 条

[41] State feedback control of nonlinear quadratic systems
Amato, F.
Ambrosino, R.
Ariola, M.
Cosentino, C.
Merola, A.
PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 4263 - +
[42] A Laguerre spectral method for quadratic optimal control of nonlinear systems in a semi-infinite interval
Masoumnezhad, Mojtaba
Saeedi, Mohammadhossein
Yu, Haijun
Nik, Hassan Saberi
AUTOMATIKA, 2020, 61 (03) : 461 - 474
[43] DIRECT SOLUTION OF NONLINEAR CONSTRAINED QUADRATIC OPTIMAL CONTROL PROBLEMS USING B-SPLINE FUNCTIONS
Edrisi-Tabriz, Yousef
Lakestani, Mehrdad
KYBERNETIKA, 2015, 51 (01) : 81 - 98
[44] Sliding Mode Regulator as Solution to Optimal Control Problem for Nonlinear Polynomial Systems
Basin, Michael
Calderon-Alvarez, Dario
2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 83 - 88
[45] Parameter Identification of Nonlinear Systems using Indirect Solution of Optimal Control Problem
Moradi, M.
Naraghi, M.
Nikoobin, A.
2015 3RD RSI INTERNATIONAL CONFERENCE ON ROBOTICS AND MECHATRONICS (ICROM), 2015, : 277 - 283
[46] Solution of nonlinear transformation of nonlinear control systems
Zhang, K
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 503 - 510
[47] A Sequential Linear Quadratic Approach for Constrained Nonlinear Optimal Control
Rodriguez, Luis A.
Sideris, Athanasios
2011 AMERICAN CONTROL CONFERENCE, 2011,
[48] A Projected SQP Method for Nonlinear Optimal Control with Quadratic Convergence
Bayer, Florian A.
Notarstefano, Giuseppe
Allgoewer, Frank
2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 6463 - 6468
[49] An Iterative Method for Optimal Control of Nonlinear Quadratic Tracking Problems
Ning, Xin
Bomela, Walter
Li, Jr-Shin
2020 AMERICAN CONTROL CONFERENCE (ACC), 2020, : 76 - 81
[50] Nonlinear quadratic optimal control for cascaded multilevel static compensators
Yucelen, Tansel
Medagam, Peda V.
Pourboghrat, Farzad
2007 39TH NORTH AMERICAN POWER SYMPOSIUM, VOLS 1 AND 2, 2007, : 523 - +

← 1 2 3 4 5 →