On Closed-loop Lyapunov Stability with Minimum-time MPC Feedback Laws for Discrete-time Systems

2019 ◽  
Author(s):  
Richard L. Sutherland ◽  
Ilya V. Kolmanovsky ◽  
Anouck R. Girard ◽  
Frederick A. Leve ◽  
Christopher D. Petersen
Keyword(s):  
Lyapunov Stability ◽  
Discrete Time ◽  
Closed Loop ◽  
Minimum Time ◽  
Discrete Time Systems ◽  
Feedback Laws ◽  
Time Systems

Multiobjective Time Domain Input Shaping for Closed-Loop Discrete-Time Systems

2010 ◽  
Vol 43 (18) ◽  
pp. 200-205
Author(s):  
Uwe Boettcher ◽  
Raymond A. de Callafon ◽  
Frank E. Talke
Keyword(s):  
Discrete Time ◽  
Time Domain ◽  
Closed Loop ◽  
Input Shaping ◽  
Discrete Time Systems ◽  
Time Systems

Observer Design for the Minimum-Time State Reconstruction of Linear Discrete-Time Systems

1979 ◽  
Vol 101 (4) ◽  
pp. 350-354 ◽  
Author(s):  
John O’Reilly
Keyword(s):  
Discrete Time ◽  
Observer Design ◽  
Minimum Time ◽  
System State ◽  
Minimal Order ◽  
State Reconstruction ◽  
Discrete Time Systems ◽  
Observability Index ◽  
Time Systems ◽  
Time Linear

The problem of observer design for the minimum-time state reconstruction of a general class of discrete-time linear multivariable systems is considered. Both full-order and minimal-order observers, each specified by a gain matrix in closed form, are presented which reconstruct the system state in a minimum of vo and vo − 1 steps respectively, where vo is the system observability index. The simplicity and generality of the designs are demonstrated by numerical example.

Switching Control Design for Switched Fuzzy Discrete-Time Systems

2014 ◽  
Vol 1006-1007 ◽  
pp. 711-714
Author(s):  
Hong Yang ◽  
Huan Huan Lü ◽  
Le Zhang
Keyword(s):  
Stability Analysis ◽  
Discrete Time ◽  
Fuzzy Systems ◽  
Closed Loop ◽  
Control Method ◽  
Control Design ◽  
Switching Control ◽  
Discrete Time Systems ◽  
The Stability ◽  
Time Systems

This paper investigates the problems of stability analysis and stabilization for a class of switched fuzzy discrete-time systems. Based on a common Lyapunov functional, a switching control method has been developed for the stability analysis of switched discrete-time fuzzy systems. A new stabilization approach based on a switching parallel distributed compensation scheme is given for the closed-loop switched fuzzy systems. Finally, the illustrative example is provided to demonstrate the effectiveness of the techniques proposed in this paper.

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