Robust proportional-integral control design for F-16 aircraft using a linear matrix inequality approach

2016 ◽  
Author(s):  
B. Huang ◽  
Z.B. Theodore ◽  
B. Lu
Keyword(s):  
Linear Matrix Inequality ◽  
Control Design ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Integral Control ◽  
Proportional Integral ◽  
Linear Matrix Inequality Approach ◽  
Proportional Integral Control

Robust H∞ Output Feedback Control Design for Takagi-Sugeno Systems with Markovian Jumps: A Linear Matrix Inequality Approach

2006 ◽  
Vol 128 (3) ◽  
pp. 617-625 ◽  
Author(s):  
Sing Kiong Nguang ◽  
Peng Shi
Keyword(s):  
Feedback Control ◽  
Linear Matrix Inequality ◽  
Output Feedback ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Control Design ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Linear Matrix Inequality Approach ◽  
Takagi Sugeno

This paper investigates the H∞ output feedback control design for a class of uncertain nonlinear systems with Markovian jumps which can be described by Takagi-Sugeno models. Based on a linear matrix inequality (LMI), LMI-based sufficient conditions for the existence of a robust output feedback controller, such that the L2-gain from an exogenous input to a regulated output is less than or equal to a prescribed value, are derived. An illustrative example is used to demonstrate the effectiveness of the proposed design techniques.

A proportional–integral-based robust state-feedback control method for linear parameter-varying systems and its application to aircraft

2019 ◽  
Vol 233 (12) ◽  
pp. 4663-4675 ◽  
Author(s):  
Bixuan Huang ◽  
Bei Lu ◽  
Qifu Li
Keyword(s):  
State Feedback ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Linear Parameter ◽  
Integral Control ◽  
Linear Parameter Varying ◽  
Proportional Integral ◽  
Proportional Integral Derivative Control ◽  
Parameter Varying ◽  
Proportional Integral Control

The integration of advanced linear parameter-varying and classical proportional–integral–derivative control methods has attracted great attention in control of nonlinear dynamic systems. However, linear parameter-varying proportional–integral–derivative control synthesis is a nonconvex bilinear matrix inequality problem. Although the synthesis conditions can be convexified in the case of proportional–integral control, a strong constraint on the structure of matrix variables usually leads to infeasible solutions. In this paper, a linear parameter-varying proportional–integral control design method is proposed to remove that constraint. The approach is based on the assumption of state-feedback proportional–integral control to guarantee the linear matrix inequality variables to be full matrices instead of block diagonal matrices, and extended linear matrix inequalities are proposed to synthesize the controller. This increases the likelihood of finding feasible linear matrix inequality solutions and reduces the conservatism. The proposed method is applied to control longitudinal and lateral dynamics of an F-16 aircraft and promising simulation results are obtained.

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