Feasible Controller Design for Stochastic Systems

1997 ◽  
Vol 20 (3) ◽  
pp. 535-541 ◽  
Author(s):  
C. Frangos ◽  
Y. Yavin
Keyword(s):  
Stochastic Systems ◽  
Controller Design

scholarly journals Fuzzy Stabilization for Nonlinear Discrete Ship Steering Stochastic Systems Subject to State Variance and Passivity Constraints

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Wen-Jer Chang ◽  
Bo-Jyun Huang ◽  
Po-Hsun Chen
Keyword(s):  
Linear Matrix Inequality ◽  
Discrete Time ◽  
Stochastic Systems ◽  
Fuzzy Controller ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Control Technique ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Ship Steering

For nonlinear discrete-time stochastic systems, a fuzzy controller design methodology is developed in this paper subject to state variance constraint and passivity constraint. According to fuzzy model based control technique, the nonlinear discrete-time stochastic systems considered in this paper are represented by the discrete-time Takagi-Sugeno fuzzy models with multiplicative noise. Employing Lyapunov stability theory, upper bound covariance control theory, and passivity theory, some sufficient conditions are derived to find parallel distributed compensation based fuzzy controllers. In order to solve these sufficient conditions, an iterative linear matrix inequality algorithm is applied based on the linear matrix inequality technique. Finally, the fuzzy stabilization problem for nonlinear discrete ship steering stochastic systems is investigated in the numerical example to illustrate the feasibility and validity of proposed fuzzy controller design method.

scholarly journals Observer-Based Robust Control for Switched Stochastic Systems with Time-Varying Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Guoxin Chen ◽  
Zhengrong Xiang ◽  
Hamid Reza Karimi
Keyword(s):  
Robust Control ◽  
Stochastic Systems ◽  
Controller Design ◽  
Average Dwell Time ◽  
Delay Systems ◽  
Time Varying ◽  
Stochastic Delay ◽  
Time Varying Delay ◽  
Switched Stochastic Systems ◽  
Varying Delay

This paper investigates the problem of observer-based robust control for a class of switched stochastic systems with time-varying delay. Based on the average dwell time method, an exponential stability criterion for switched stochastic delay systems is proposed. Then, performance analysis and observer-based robust controller design for the underlying systems are developed. Finally, a numerical example is presented to illustrate the effectiveness of the proposed approach.

A Covariance Controller Design Incorporating Optimal Estimation for Nonlinear Stochastic Systems

1996 ◽  
Vol 118 (2) ◽  
pp. 346-349 ◽  
Author(s):  
Wen-Jer Chang ◽  
Hung-Yuan Chung
Keyword(s):  
Cost Function ◽  
Stochastic Systems ◽  
Controller Design ◽  
Optimal Estimation ◽  
Nonlinear Stochastic Systems ◽  
Numerical Example ◽  
Describing Functions ◽  
Covariance Control ◽  
Variance Design

This note addresses the problem of constrained variance design with minimizing LQG cost function via the method of covariance control incorporating the optimal estimation for nonlinear stochastic systems. The nonlinear stochastic systems are first linearized and then are examined by way of the technique of describing functions. Finally, an application of this approach to a position servomechanism is illustrated by a numerical example.

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