Fuzzy Optimal Control for Multistage Fuzzy Systems
Related Experiment Videos
Abstract:
In the case that a system is affected by fuzzy factors, a fuzzy optimal-control problem is proposed. A fuzzy optimal-control problem for a multistage fuzzy system is considered to optimize the expected value of a fuzzy objective function subject to a multistage fuzzy system where, at every stage, the system is disturbed by a fuzzy variable. Based on Bellman's Principle of Optimality, a recurrence equation for the problem is presented. A linear quadratic fuzzy optimal-control problem is shown to have an exact solution by the recurrence equation if the system is affected by triangular fuzzy variables. For general cases, two methods, the hybrid intelligent algorithm and the finite-search method, are established to approximate the solutions of the problem. Finally, an example is used to show that these two methods are effective to solve a fuzzy optimal-control problem for a multistage fuzzy system.
Related Concept Videos
Feedback control systems
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
Control Systems
At the heart...
Multi-input and Multi-variable systems
In the absence of...
Controller Configurations
Control-system compensation involves various configurations, most commonly series or cascade compensation, in which the controller aligns...
Open and closed-loop control systems
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal and...
Control System Problem
When forming a closed-loop system, issues can arise if the poles cross into the unstable region, leading to potential...