Adaptive control of MIMO time-varying systems with indicator function based parametrization

作者：Qi Ruiyun^*; Tao Gang; Jiang Bin

来源：Automatica, 2014, 50(5): 1369-1380.

DOI：10.1016/j.automatica.2014.03.005

• Discrete-time MIMO systems
• Adaptive control
• Indicator functions
• Parametrization
• Time-variations
• T-S fuzzy systems

This paper studies a new solution framework for adaptive control of a class of MIMO time-varying systems with indicator function based parametrization, motivated by a general discrete-time MIMO Takagi Sugeno (T-S) fuzzy system model in an input output form with unknown parameters. An indicator (membership) function based parametrization has some favorable capacity to deal with certain large parameter variations. A new discrete-time MIMO system prediction model is derived for approximating a nonlinear dynamic system, and its system properties are clarified. An adaptive control scheme is developed, with desired controller parametrization and stable parameter estimation for control of such uncertain MIMO time-varying systems. A control singularity problem is addressed and the closed-loop stability and output tracking properties are analyzed. This work provides a new method for multivariable T-S fuzzy system modeling and adaptive control. An illustrative example and simulation results are presented to demonstrate the proposed novel concepts and to verify the desired adaptive control system performance.

• 出版日期2014-5
• 单位南京航空航天大学