scholarly journals H∞Static Output Tracking Control of Nonlinear Systems with One-Sided Lipschitz Condition

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Leipo Liu ◽  
Xiaona Song
Keyword(s):  
Nonlinear Systems ◽  
Lipschitz Condition ◽  
Output Feedback ◽  
Tracking Control ◽  
Linear Matrix ◽  
Feedback Gain ◽  
Static Output Feedback ◽  
Output Tracking ◽  
Output Tracking Control ◽  
Static Output

This paper is concerned withH∞static output tracking control of nonlinear systems with one-sided Lipschitz condition. The dimensions of system model and reference model may be different. A static output feedback controller is designed to guarantee that the system output asymptotically tracks the reference output withH∞disturbance rejection level. A new sufficient condition is derived to obtain the static output feedback gain by linear matrix inequality (LMI), and no equality constraints can be needed. Finally, an example is given to illustrate the effectiveness of the proposed method.

Regional Pole Placement via Static Output Feedback Based on Coordinate Transformation

2012 ◽  
Vol 546-547 ◽  
pp. 916-921
Author(s):  
Hai Bin Shi ◽  
Li Qi
Keyword(s):  
Output Feedback ◽  
Coordinate Transformation ◽  
Pole Placement ◽  
Linear Matrix ◽  
Feedback Gain ◽  
Static Output Feedback ◽  
Gain Matrix ◽  
Matrix Variable ◽  
Regional Pole Placement ◽  
Static Output

This paper focuses on the regional pole placement via static output feedback. Under proper state coordinate transformation with a free matrix variable, the static output feedback gain may be obtained by solving a linear matrix inequality (LMI). The LMI is feasible only if the poles of a dummy control system are in the given LMI region. The free matrix variable can regulate the dummy system as a state feedback gain matrix. So once the free variable is determined, the static output feedback gain matrix may be obtained by an LMI-based method. The main computations do not concern any reduction or enlargement of matrix inequalities. Numerical examples show the effectiveness of the proposed algorithm.

Robust Output Tracking Control for a Class of Uncertain Switched Nonlinear Systems

2013 ◽  
Vol 135 (3) ◽  
Author(s):  
Xiao X. Dong ◽  
Jun Zhao
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
Control Method ◽  
Design Method ◽  
Average Dwell Time ◽  
Variable Structure ◽  
Linear Matrix ◽  
Switched Nonlinear Systems ◽  
Output Tracking ◽  
Output Tracking Control

This paper is devoted to the problem of robust output tracking control for uncertain cascade switched nonlinear systems with external disturbances. A sufficient condition for the output tracking problem of switched systems to be solvable is given in terms of the average dwell-time scheme and linear matrix inequalities where no solvability of the output tracking control problem for all subsystems is assumed. The controllers are designed based on a variable structure control method in order to conquer the uncertainties. Simulations illustrate the effectiveness of the proposed robust tracking design method.

scholarly journals PiecewiseH∞Static Output Feedback Controller Design for Nonlinear Systems Based on T-S Affine Fuzzy Models

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Xingang Zhao
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Controller Design ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Output Feedback Controller ◽  
Fuzzy Models ◽  
Complex Nonlinear Systems ◽  
Static Output

This paper is concerned with the problem of designingH∞controllers via static output feedback controller for a class of complex nonlinear systems, which is approximated by continuous-time affine fuzzy models. A decomposition method is presented to divide the output-space into different operating regions and interpolation regions. Based on this partition, a novel piecewise controller with affine terms via static output feedback is designed. By using a dilated linear matrix inequality (LMI) characterization, some nonconvex conditions are converted into convex ones to make the asymptotic stability andH∞performance of the closed-looped system. The effectiveness of the proposed method is illustrated by a numerical example.

An Application of QSR-Dissipativity to the Problem of Static Output Feedback Robust Stabilization of Nonlinear Systems

2020 ◽  
Author(s):  
Diego De S. Madeira ◽  
Valessa V. Viana
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Closed Loop ◽  
Robust Stabilization ◽  
Domain Of Attraction ◽  
Control Synthesis ◽  
Feedback Gain ◽  
Static Output Feedback ◽  
Static Feedback ◽  
Static Output

In this work we deal with the asymptotic stabilization problem of polynomial (and rational) input-affine systems subject to parametric uncertainties. The problem of linear static output feedback (SOF) control synthesis is handled, having as a prerequisite a differential algebraic representation (DAR) of the plant. Using the property of strict QSR-dissipativity, theFinsler's Lemma and the notion of linear annihilators we introduce a new dissipativity-based strategy for robust stabilization which determines a static feedback gain by solving a simple linear semidenite program on a polytope. At the same time, an estimate of the closed-loop domain of attraction is given in terms of an ellipsoidal set. The novelty of the proposed approach consists in this combination of dissipativity theory and powerful semidenite programming(SDP) tools allowing for a simple solution of the challenging problem of static output feedback design for nonlinear systems. A numerical example allows the reader to verify the applicability of the proposed technique.

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