Guaranteed cost control for dynamic positioning of marine surface vessels with input saturation

2021 ◽  
Vol 116 ◽  
pp. 102868
Author(s):  
Tao Liu ◽  
Yunfei Xiao ◽  
Yuan Feng ◽  
Jun Li ◽  
Bing Huang
Keyword(s):  
Cost Control ◽  
Input Saturation ◽  
Guaranteed Cost Control ◽  
Dynamic Positioning ◽  
Surface Vessels ◽  
Guaranteed Cost ◽  
Marine Surface

Non-iterative SOS-based approach for guaranteed cost control design of polynomial systems with input saturation

2017 ◽  
Vol 11 (16) ◽  
pp. 2724-2730 ◽  
Author(s):  
Navid Vafamand ◽  
Mohammad-Mehdi Mardani ◽  
Alireza Khayatian ◽  
Mokhtar Shasadeghi
Keyword(s):  
Cost Control ◽  
Input Saturation ◽  
Control Design ◽  
Guaranteed Cost Control ◽  
Polynomial Systems ◽  
Guaranteed Cost

The guaranteed cost controller for nonlinear systems with time-varying parameters and input saturation

2019 ◽  
Vol 42 (3) ◽  
pp. 565-575 ◽  
Author(s):  
Pingfang Zhu ◽  
Jingyao Wang ◽  
Jianping Zeng
Keyword(s):  
Nonlinear Systems ◽  
Control Problem ◽  
Flight Control ◽  
Cost Control ◽  
Input Saturation ◽  
Guaranteed Cost Control ◽  
Time Varying ◽  
Varying Parameters ◽  
Guaranteed Cost ◽  
Time Varying Parameters

This paper investigates the uniformly asymptotically/exponentially stable guaranteed cost control problem for a class of nonlinear systems with time-varying parameters and input saturation. The nonlinearities and the time-varying nature of these systems render it quite challenging to solve the guaranteed cost control problem. This paper presents a new Lyapunov functional and a novel controller structure as nonlinear and parameter-varying forms incorporating the state, the time-varying parameters and its derivative. Based on Lyapunov stability theory, the solvable conditions for the existence of guaranteed cost controllers are obtained in terms of state-and-parameter-dependent linear matrix inequalities, which can be efficiently solved via sum-of-squares convex programming. Finally, the effectiveness of the proposed method is demonstrated by the conversion flight control of a tilt rotor aircraft.

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