scholarly journals STABILITY MARGIN COMPUTATION FOR NONLINEAR SYSTEMS: A PARAMETRIC APPROACH

2002 ◽  
Vol 35 (1) ◽  
pp. 55-60
Author(s):  
Nusret Tan ◽  
Derek P. Atherton
Keyword(s):  
Nonlinear Systems ◽  
Stability Margin ◽  
Parametric Approach

Adaptive Control of Nonlinear Systems: Parametric and Non-Parametric Approach

2021 ◽  
Author(s):  
J. Hozefa ◽  
S. Shadab ◽  
G. Revati ◽  
S. R. Wagh ◽  
N. M. Singh
Keyword(s):  
Adaptive Control ◽  
Nonlinear Systems ◽  
Parametric Approach ◽  
Non Parametric

Multimodel Control of Nonlinear Systems: An Improved Gap Metric and Stability Margin-Based Method

2018 ◽  
Vol 140 (8) ◽  
Author(s):  
Mahdi Ahmadi ◽  
Mohammad Haeri
Keyword(s):  
Nonlinear Systems ◽  
Controller Design ◽  
A Priori ◽  
Stability Margin ◽  
Threshold Value ◽  
Performance Criteria ◽  
Local Models ◽  
Gap Metric ◽  
Maximum Stability ◽  
And Performance

This paper presents a new multimodel controller design approach incorporating stability and performance criteria. The gap metric is employed to measure the distance between local models. An efficient method based on state feedback strategy is introduced to improve the maximum stability margin of the local models. The proposed method avoids local model redundancy, simplifies the multimodel controller structure, and supports employing of many linear control techniques, while does not rely on a priori experience to choose the gridding threshold value. To evaluate the proposed method, three benchmark nonlinear systems are studied. Simulation results demonstrate that the method provides the closed-loop stability and performance via a simple multimodel structure in comparison with the opponents.

LOWER BOUNDS FOR THE STABILITY DEGREE OF PERIODIC SOLUTIONS IN FORCED NONLINEAR SYSTEMS

2000 ◽  
Vol 10 (03) ◽  
pp. 639-653 ◽  
Author(s):  
L. GIOVANARDI ◽  
M. BASSO ◽  
R. GENESIO ◽  
A. TESI
Keyword(s):  
Periodic Solution ◽  
Nonlinear Systems ◽  
Exponential Stability ◽  
Lower Bounds ◽  
Linear Time ◽  
Stability Margin ◽  
Transient Behavior ◽  
Main Concern ◽  
Linear Time Invariant ◽  
Stability Of Periodic Orbits

In this paper the problem of local exponential stability of periodic orbits in a general class of forced nonlinear systems is considered. Some lower bounds for the degree of local exponential stability of a given periodic solution are provided by mixing results concerning the analysis of linear time-varying systems and the real parametric stability margin of uncertain linear time-invariant systems. Although conservative with respect to the degree of stability obtainable via the Floquet-based approach, such lower bounds can be efficiently computed also in cases where the periodic solution is not exactly known and the design of a controller ensuring a satisfactory transient behavior is the main concern. The main features of the developed approach are illustrated via two application examples.

A New Structured Multimodel Control of Nonlinear Systems by Integrating Stability Margin and Performance

2017 ◽  
Vol 139 (9) ◽  
Author(s):  
Mahdi Ahmadi ◽  
Mohammad Haeri
Keyword(s):  
Nonlinear Systems ◽  
Controller Design ◽  
A Priori ◽  
Design Procedure ◽  
Stability Margin ◽  
Point Tracking ◽  
Performance Requirements ◽  
Performance Specifications ◽  
And Performance ◽  
Model Redundancy

This paper deals with a new systematic multimodel controller design for nonlinear systems. The design of local controllers based on performance requirements is incorporated with the concept of local models selection as an optimization problem. Gap metric and stability margin are used as measuring tool and operation space dividing criterion, respectively. The developed method provides support to design a simple structured multiple proportional-integral (PI) controller which guarantees both robust stability and time-domain performance specifications. The main advantages of the proposed method are avoiding model redundancy, not needing a priori knowledge about system, having simple structure, and easing the implementation. To evaluate the presented multimodel controller design procedure, three benchmark nonlinear systems are studied. Both simulations and experimental results prove the effectiveness of the proposed method in set point tracking and disturbance rejection.

scholarly journals Adaptive Output Feedback Stabilization of Random Nonlinear Systems with Unmodeled Dynamics Driven by Colored Noise

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Mingyue Cui
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Colored Noise ◽  
Stability Margin ◽  
Feedback Stabilization ◽  
Unmodeled Dynamics ◽  
Tuning Parameters ◽  
Output Feedback Stabilization ◽  
Control Scheme ◽  
Reduced Order Observer

This paper focuses on the problem of adaptive output feedback stabilization for random nonlinear systems with unmodeled dynamics and uncertain nonlinear functions driven by colored noise. Under the assumption of unmodeled dynamics having enough stability margin, an adaptive output feedback stabilization controller is designed based on a reduced-order observer such that the state of the closed-loop system has an asymptotic gain in the 2-th moment (AG-2-M) and the mean square of the output can be made arbitrarily small by tuning parameters. A simulation example is used to illustrate the effectiveness of the control scheme.

Sign in / Sign up

Export Citation Format

Share Document