An Internal Model-Based Tracking Control for a Class of Uncertain Linear Time-Varying Systems

2010 ◽  
Author(s):  
Zhen Zhang ◽  
Zongxuan Sun ◽  
Peiqing Ye
Keyword(s):  
Tracking Control ◽  
Internal Model ◽  
Linear Time ◽  
Design Method ◽  
Uncertain System ◽  
Feedback Gain ◽  
Time Varying ◽  
Linear Parameter Varying ◽  
Model Based ◽  
Time Varying Systems

In this paper, we extend previous results for a novel internal model-based tracking control with a class of known LTV plant models driven by LTI exosystems to uncertain LTI plant models driven by LTV exosystems. The augmented time-varying system to be stabilized becomes uncertain. Moreover, the time-varying fashion under consideration renders the augmented uncertain system linear parameter-varying (LPV). By means of an output-feedback gain-scheduling design, the augmented uncertain LTV system is stabilized. Simulation results illustrate the proposed design method.

A Novel Internal Model-Based Tracking Control for a Class of Linear Time-Varying Systems

2009 ◽  
Vol 132 (1) ◽  
Author(s):  
Zhen Zhang ◽  
Zongxuan Sun
Keyword(s):  
Internal Model ◽  
Linear Time ◽  
Implementation Process ◽  
Automatic Generation ◽  
Feedback Mechanism ◽  
Control Input ◽  
Time Varying ◽  
Linear Time Invariant ◽  
Model Based ◽  
Time Varying Systems

This paper provides a novel method of constructing an internal model-based design of reference tracking and/or disturbance rejection for a class of linear time-varying plants with a known linear time invariant (LTI) exosystem. It is shown how the realization of an appropriate time-varying internal model can be constructed by means of a novel feedback mechanism. The design of the internal model consists of two ingredients: (1) a time-varying system immersion of the exosystem, and (2) an automatic generation of the desired control input to render the error-zeroing subspace invariant, based on the complete knowledge of the plant model. The important features of the proposed method lie in that the tracking problem setup and the proposed feedback mechanism allow us to avoid explicitly calculating the desired input, which keeps the regulated error identically at zero. Moreover the time-varying immersion is guaranteed to hold for the class of plant models under consideration. These features significantly broaden the range of applications of the proposed method, and simplify the control implementation process.

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