Adaptive State Tracking Controller for Multi-Input Multi-Output Non-affine Nonlinear Systems

Abstract

Abstract-This paper proposes a new method to design a fuzzy adaptive controller for a class of multi-input multi-output (MIMO) non-affine nonlinear systems in which functions of the systems are unknown. The lyapunov stability of the closed loop system is guaranteed. The proposed controller is robust against uncertainty and external disturbance. An illustrative example shows the effectiveness of the proposed method and the simulation results are very promising.

Decentralized Intelligent Adaptive Controller for Large Scale System

“…In this section, we apply the proposed decentralized fuzzy model reference adaptive controller to a two-inverted pendulum problem [12] in which the pendulums are connected by a spring as shown in figure (1). The pendulums dynamics are described by the following nonlinear equations.…”

“…Designing decentralized fuzzy adaptive controller for a class of large scale system is discussed in [10], [11]. Adaptive State Tracking Controller for Multi-Input Multi-Output Non-affine Nonlinear Systems is presented in [12]. …”

Combined Nonlinear Control System With an Implicit Reference for the Apriori Undefined Non-Affine Two-Channel Plant With Delays at the Out-Put

“…Таким образом, если удается обеспечить существование дополнительных условий (14), то будут достижимы в силу эквивалентности передаточных функций в уравнениях (6), ( 12) и требования основной цели управления (11).…”