Switching rule design for affine switched systems using a max-type composition rule

2014 ◽  
Vol 68 ◽  
pp. 1-8 ◽  
Author(s):  
César C. Scharlau ◽  
Mauricio C. de Oliveira ◽  
Alexandre Trofino ◽  
Tiago J.M. Dezuo
Keyword(s):  
Switched Systems ◽  
Composition Rule ◽  
Switching Rule ◽  
Type Composition

Switching Rule Design for Sector-Bounded Nonlinear Switched Systems

2014 ◽  
Vol 47 (3) ◽  
pp. 4074-4079 ◽  
Author(s):  
Tiago Dezuo ◽  
Alexandre Trofino ◽  
Cesar C. Scharlau
Keyword(s):  
Switched Systems ◽  
Switching Rule ◽  
Nonlinear Switched Systems

Quantized Control for Networked Switched Systems With a More General Switching Rule

2020 ◽  
Vol 50 (5) ◽  
pp. 1909-1917 ◽  
Author(s):  
Jiajia Li ◽  
Guoliang Wei ◽  
Derui Ding ◽  
Yurong Li
Keyword(s):  
Switched Systems ◽  
Switching Rule ◽  
Quantized Control

Iterative learning control for linear continuous-time switched systems with observation noise

2018 ◽  
Vol 41 (4) ◽  
pp. 1178-1185 ◽  
Author(s):  
Xuan Yang ◽  
Xiaoe Ruan
Keyword(s):  
Continuous Time ◽  
Switched Systems ◽  
Iterative Learning Control ◽  
Control Algorithm ◽  
Learning Control ◽  
Young Inequality ◽  
Iterative Learning ◽  
Learning Performance ◽  
Learning Gains ◽  
Switching Rule

The paper attempts to explore the effect of an internal switching mechanism and external noise on the learning performance of a conventional proportional–derivative iterative learning control scheme for linear continuous-time switched systems. The learning behaviour is analysed by virtue of a Lebesgue- p norm and the generalized Young inequality of the convolution integral. The results convey that both asymptotic convergence and robustness of the control algorithm depend mainly on the learning gains and the dynamics of the subsystems, but less on the time-driven switching rule. Given an arbitrary time-varying switching rule, a group of learning gains may be properly chosen such that both convergence and robustness of the control algorithm are guaranteed. Numerical simulations verify the validity and the effectiveness.

Robust adaptive control for a class of nonlinear switched systems using state-dependent switching

2021 ◽  
Vol 3 (3) ◽  
Author(s):  
Naeimadeen Noghredani ◽  
Naser Pariz
Keyword(s):  
Adaptive Control ◽  
Switched Systems ◽  
Variable Structure ◽  
Robust Adaptive Control ◽  
Linear Matrix ◽  
Switching Rule ◽  
Nonlinear Switched Systems ◽  
State Dependent ◽  
Robust Adaptive ◽  
The Stability

AbstractThis paper presents a novel adaptive control for a class of nonlinear switched systems by introducing a sufficient condition for stabilization. Based on the possible instability of all sub-systems, a variable structure (VS) switching rule with an adaptive approach and sliding sector was offered. Moreover, the stability condition of the system can be determined by solving linear matrix inequalities (LMIs) to ensure asymptotic stability. The application of H∞ analysis of nonlinear switched systems was also investigated through the design of the mentioned adaptive control system and defining a VS switching rule. Finally, simulation results were presented to validate the novelty of the proposed method.

Stability Analysis of Switched Systems with Mixed Delayed and Nonlinear Perturbations

2011 ◽  
Vol 217-218 ◽  
pp. 901-906
Author(s):  
Xiu Yong Ding ◽  
Lan Shu ◽  
Xiu Liu
Keyword(s):  
Stability Analysis ◽  
Asymptotic Stability ◽  
Stability Condition ◽  
Switched Systems ◽  
Nonlinear Perturbations ◽  
Uniform Asymptotic Stability ◽  
Switching Rule ◽  
Delay Dependent ◽  
Delay Dependent Stability

This note deals with a class of switched systems with nonlinear perturbations in mixed delayed state. Based on the multiple functional appoach, we establish a delay dependent stability condition via designing appropriate switching rule. This result indicates that if the norm of system matrices is small enough, the uniform asymptotic stability is always achieved.

Switching rule design for affine switched systems with ℋ∞ performance

2012 ◽  
Author(s):  
Alexandre Trofino ◽  
Cesar C. Scharlau ◽  
Tiago J.M. Dezuo ◽  
Mauricio C. de Oliveira
Keyword(s):  
Switched Systems ◽  
Switching Rule
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