Global stabilizing controller design for linear time-varying systems and its application on BTT missiles

2008 ◽  
Vol 19 (6) ◽  
pp. 1178-1184 ◽  
Author(s):  
Tan Feng ◽  
Duan Guangren
Keyword(s):  
Controller Design ◽  
Linear Time ◽  
Time Varying ◽  
Stabilizing Controller ◽  
Time Varying Systems

scholarly journals Adaptive Data-Driven Control for Linear Time Varying Systems

Machines ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 167
Author(s):  
Talal Abdalla
Keyword(s):  
Design Problem ◽  
Controller Design ◽  
Reference Model ◽  
Linear Time ◽  
Convex Relaxation ◽  
Data Driven ◽  
Time Varying ◽  
Model Matching ◽  
Control Approach ◽  
Time Varying Systems

In this paper, we propose an adaptive data-driven control approach for linear time varying systems, affected by bounded measurement noise. The plant to be controlled is assumed to be unknown, and no information in regard to its time varying behaviour is exploited. First, using set-membership identification techniques, we formulate the controller design problem through a model-matching scheme, i.e., designing a controller such that the closed-loop behaviour matches that of a given reference model. The problem is then reformulated as to derive a controller that corresponds to the minimum variation bounding its parameters. Finally, a convex relaxation approach is proposed to solve the formulated controller design problem by means of linear programming. The effectiveness of the proposed scheme is demonstrated by means of two simulation examples.

Input-Constrained Controller Design of Linear Time-Varying Systems Based on Piecewise State Estimation

2017 ◽  
Vol 140 (1) ◽  
Author(s):  
Feng Tan ◽  
Mingzhe Hou ◽  
Haihong Zhao ◽  
Guangren Duan
Keyword(s):  
Finite Time ◽  
Controller Design ◽  
Optimization Problems ◽  
Linear Time ◽  
Time Interval ◽  
Time Varying ◽  
Input Constraints ◽  
Time Control ◽  
State Evolution ◽  
Time Varying Systems

Finite-time control problem of linear time-varying systems with input constraints is considered in this paper. Successive ellipsoidal approximations are used to estimate the state evolution of linear time-varying systems during a certain finite-time interval. An algorithm to design a controller based on approximations of state evolution is proposed. According to the proposed algorithm, the speed of state approaching equilibrium is optimized piecewisely using admissible control. The controller gain can be obtained by solving several quasi-convex optimization problems, which makes the design process computationally tractable. Simulation results show that the proposed controller can quickly reduce state deviation without violating input constraints.

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