Decentralized linear feedback optimal control of large-scale nonlinear systems

2010 ◽  
Author(s):  
Liang Sun ◽  
Xia Wang ◽  
Ming-Qu Fan
Keyword(s):  
Optimal Control ◽  
Nonlinear Systems ◽  
Large Scale ◽  
Linear Feedback ◽  
Feedback Optimal Control

Two-Level Robust Optimal Control of Large-Scale Nonlinear Systems

2015 ◽  
Vol 9 (1) ◽  
pp. 242-251 ◽  
Author(s):  
Nasser Sadati ◽  
Mehdi Rahmani ◽  
Mehrdad Saif
Keyword(s):  
Optimal Control ◽  
Nonlinear Systems ◽  
Large Scale ◽  
Robust Optimal Control

Vibration Control Applied in a Semi-Active Suspension Using Magneto Rheological Damper and Optimal Linear Control Design

2013 ◽  
Vol 464 ◽  
pp. 229-234 ◽  
Author(s):  
Bruno Sousa Carneiro da Cunha ◽  
Fábio Roberto Chavarette
Keyword(s):  
Optimal Control ◽  
Nonlinear Systems ◽  
Control Design ◽  
Mr Damper ◽  
Active Suspension ◽  
Linear Control ◽  
Linear Feedback ◽  
Optimal Linear ◽  
Magneto Rheological ◽  
Non Linear System

In this paper we study the behavior of a semi-active suspension witch external vibrations. The mathematical model is proposed coupled to a magneto rheological (MR) damper. The goal of this work is stabilize of the external vibration that affect the comfort and durability an vehicle, to control these vibrations we propose the combination of two control strategies, the optimal linear control and the magneto rheological (MR) damper. The optimal linear control is a linear feedback control problem for nonlinear systems, under the optimal control theory viewpoint We also developed the optimal linear control design with the scope in to reducing the external vibrating of the nonlinear systems in a stable point. Here, we discuss the conditions that allow us to the linear optimal control for this kind of non-linear system.

scholarly journals Adaptive Optimal Control for Large-Scale Nonlinear Systems

2017 ◽  
Vol 62 (11) ◽  
pp. 5567-5577 ◽  
Author(s):  
Iakovos Michailidis ◽  
Simone Baldi ◽  
Elias B. Kosmatopoulos ◽  
Petros A. Ioannou
Keyword(s):  
Optimal Control ◽  
Nonlinear Systems ◽  
Large Scale ◽  
Adaptive Optimal Control

Multi-Dimension Uncertain Linear Quadratic Optimal Control with Cross Term

2015 ◽  
Vol 19 (5) ◽  
pp. 670-675 ◽  
Author(s):  
Yuefen Chen ◽  
◽  
Bo Li
Keyword(s):  
Differential Equation ◽  
Optimal Control ◽  
Linear Feedback ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Riccati Differential Equation ◽  
Cross Term ◽  
Lq Optimal Control ◽  
Quadratic Optimal Control ◽  
Feedback Optimal Control

In this paper, we consider a multi-dimension uncertain linear quadratic (LQ) optimal control with cross term. With the aid of the equation of optimality of a general multi-dimension uncertain optimal control, we present a necessary and sufficient condition for the existence of optimal linear feedback optimal control which is associated with a Riccati differential equation. Moreover, some properties of the solution for the Riccati differential equation are discussed. Furthermore, the uniqueness of the feedback optimal control for the uncertain linear quadratic optimal control with cross term is proved. Finally, as an application, an example is presented to illustrate the theory obtained.

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