Local State Covariance Assignment for Stochastic Large-Scale Systems

1999 ◽  
Vol 121 (1) ◽  
pp. 139-142 ◽  
Author(s):  
Koan-Yuh Chang ◽  
Wen-June Wang
Keyword(s):  
Large Scale ◽  
Sliding Mode ◽  
Variable Structure ◽  
Matching Condition ◽  
Local State ◽  
Invariance Property ◽  
Feedback Gain ◽  
Variable Structure Systems ◽  
Large Scale Systems ◽  
Structure Control

Based on the concept of variable structure control, this paper investigates the local state covariance assignment problem for stochastic large-scale systems. By using the invariance property of variable structure systems, the interconnection terms with matching condition will disappear on the sliding mode. With the aid of Ito-formula, the hitting controller of each subsystem is derived. Combining the sliding phase and hitting phase of the system design, the local feedback gain matrix Gi for each subsystem is obtained to achieve the local state covariance assignment.

A New Variable Structure Control Scheme for Mismatched Uncertain Large Scale Systems

2015 ◽  
Vol 789-790 ◽  
pp. 1005-1010
Author(s):  
Yao Wen Tsai ◽  
Phan Van Duc ◽  
Van Van Huynh
Keyword(s):  
Large Scale ◽  
Controller Design ◽  
Sliding Mode ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Order System ◽  
Large Scale Systems ◽  
Structure Control ◽  
Control Scheme ◽  
Output Information

In this paper, a new decentralized adaptive output feedback variable structure control scheme is designed for mismatched uncertain large-scale systems where the exogenous disturbance is unknown. The proposed approach uses output information completely in sliding surface and controller design. Therefore, conservatism is reduced and robustness is enhanced. Furthermore, the reduce order system in sliding mode is asymptotically stable under certain conditions. Finally, a numerical example is used to demonstrate the efficacy on the method.

Decentralized Variable Structure Control Design in Perturbed Nonlinear Systems

1993 ◽  
Vol 115 (3) ◽  
pp. 551-554 ◽  
Author(s):  
Wen-June Wang ◽  
Jia-Ling Lee
Keyword(s):  
Large Scale ◽  
Sliding Mode ◽  
Design Method ◽  
Hierarchical Control ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Lyapunov Theory ◽  
Pendulum System ◽  
Large Scale Systems ◽  
Structure Control

This paper presents a new robust decentralized variable structure control (DVSC) to stabilize a class of perturbed nonlinear large-scale systems. Only the bounds of perturbations, disturbances and interconnections of the system are needed. Based on Lyapunov theory, the DVSC is designed such that a Lyapunov function converges to a composite switching hyperplane in finite time, at least with an exponential rate. Our design method need not use the dynamic compensation or the integral of interconnections in the sliding mode definition, or the hierarchical control. Furthermore, both the convergence rate and the hitting time can be assigned. Finally, a two-pendulum system is given to illustrate the design method.

Design of Variable Structure Control with Bounded Inputs

2010 ◽  
Vol 29-32 ◽  
pp. 1175-1180
Author(s):  
Qing Kun Zhou ◽  
Sheng Jian Bai ◽  
Zhi Yong Zhang
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
Sliding Mode ◽  
Variable Structure ◽  
Closed Loop System ◽  
Variable Structure Systems ◽  
Structure Control ◽  
Variable Structure System ◽  
Lti System ◽  
The Stability

The design of variable structure system inputs which are constrained by saturation is studied. For a LTI system which satisfies some conditions, it is shown that appropriate bounded controllers guarantee the system’s global stability and maximize the sliding mode domain on the switching surfaces. Stability conditions of variable structure systems with constrained inputs are relaxed, and the stability of the closed-loop system is guaranteed by using passivity theory of linear passive systems. Moreover, nonlinear sliding surfaces are discussed for variable structure controller design, and a novel nonlinear switching surface is proposed. Finally, the proposed methods are applied to a 2nd order LTI system to show their usefulness.

Decentralized Variable-Structure Control for Uncertain Large-Scale Systems

1995 ◽  
Vol 28 (16) ◽  
pp. 253-258
Author(s):  
Qing Wang ◽  
Hualong Xu ◽  
Changhua Hu ◽  
Xinhai Chen
Keyword(s):  
Large Scale ◽  
Variable Structure Control ◽  
Variable Structure ◽  
Large Scale Systems ◽  
Structure Control
Sign in / Sign up

Export Citation Format

Share Document