A new switched off-line NMPC approach for nonlinear systems with a switching performance index using an extended modal series method

2018 ◽  
Vol 39 (6) ◽  
pp. 1935-1951
Author(s):  
Samaneh Sadat Sajjadi ◽  
Ali Karimpour ◽  
Naser Pariz ◽  
Amin Jajarmi
Keyword(s):  
Nonlinear Systems ◽  
Performance Index ◽  
Series Method ◽  
Switching Performance ◽  
Extended Modal Series Method

An off-line NMPC strategy for continuous-time nonlinear systems using an extended modal series method

2014 ◽  
Vol 78 (4) ◽  
pp. 2651-2674 ◽  
Author(s):  
Samaneh Sadat Sajjadi ◽  
Naser Pariz ◽  
Ali Karimpour ◽  
Amin Jajarmi
Keyword(s):  
Nonlinear Systems ◽  
Continuous Time ◽  
Series Method ◽  
Extended Modal Series Method

Developments in Nonlinear Controller Synthesis: An Overview

1978 ◽  
Vol 100 (1) ◽  
pp. 59-69 ◽  
Author(s):  
Devendra P. Garg
Keyword(s):  
Functional Analysis ◽  
Nonlinear Systems ◽  
Performance Improvement ◽  
Performance Index ◽  
Controller Synthesis ◽  
Analysis Approach ◽  
Nonlinear Controller ◽  
System Synthesis ◽  
Synthesis Techniques ◽  
Nonlinear Controllers

In this paper developments in nonlinear controller synthesis techniques are surveyed. First, the use of functional analysis approach for system synthesis is discussed. Next, the application of intentional nonlinear controllers for performance improvement and optimization via performance index minimization is presented. This is followed by a discussion of signal stabilization using artificial dither. Finally, approaches are given for design of controllers to meet stability requirements for both single and multiple-loop nonlinear systems.

scholarly journals A nonlinear plate control without linearization

2017 ◽  
Vol 15 (1) ◽  
pp. 179-186
Author(s):  
Kenan Yildirim ◽  
Ismail Kucuk
Keyword(s):  
Optimal Control ◽  
Nonlinear Systems ◽  
Control Problem ◽  
Performance Index ◽  
Control Function ◽  
Initial Boundary ◽  
Quadratic Functional ◽  
Penalty Term ◽  
Nonlinear Plate ◽  
Optimal Control Function

Abstract In this paper, an optimal vibration control problem for a nonlinear plate is considered. In order to obtain the optimal control function, wellposedness and controllability of the nonlinear system is investigated. The performance index functional of the system, to be minimized by minimum level of control, is chosen as the sum of the quadratic 10 functional of the displacement. The velocity of the plate and quadratic functional of the control function is added to the performance index functional as a penalty term. By using a maximum principle, the nonlinear control problem is transformed to solving a system of partial differential equations including state and adjoint variables linked by initial-boundary-terminal conditions. Hence, it is shown that optimal control of the nonlinear systems can be obtained without linearization of the nonlinear term and optimal control function can be obtained analytically for nonlinear systems without linearization.

scholarly journals Performance Index for Optimizing Sensor Fault Detection of a Class of Nonlinear Systems

2018 ◽  
Vol 51 (24) ◽  
pp. 1387-1394 ◽  
Author(s):  
Vasso Reppa ◽  
Stelios Timotheou ◽  
Marios M. Polycarpou ◽  
Christos Panayiotou
Keyword(s):  
Nonlinear Systems ◽  
Fault Detection ◽  
Performance Index ◽  
Sensor Fault ◽  
Sensor Fault Detection

scholarly journals New Robust Projection to Latent Structure

2022 ◽  
pp. 211-232
Author(s):  
Jing Wang ◽  
Jinglin Zhou ◽  
Xiaolu Chen
Keyword(s):  
Nonlinear Systems ◽  
Equilibrium Point ◽  
Local Structure ◽  
Latent Structure ◽  
Series Method ◽  
Structure Feature ◽  
Small Uncertainty ◽  
System Nonlinearity ◽  
Secondary Feature

AbstractIn many actual nonlinear systems, especially near the equilibrium point, linearity is the primary feature and nonlinearity is the secondary feature. For the system that deviates from the equilibrium point, the secondary nonlinearity or local structure feature can also be regarded as the small uncertainty part, just as the nonlinearity can be used to represent the uncertainty of a system (Wang et al. 2019). So this chapter also focuses on how to deal with the nonlinearity in PLS series method, but starts from an different view, i.e., robust PLS. Here the system nonlinearity is considered as uncertainty and a new robust $$\mathrm{L}_1$$ L 1 -PLS is proposed.

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