scholarly journals General Solutions of Problems of Minimum Time Observation and Control for Linear Discrete-Time Systems

1978 ◽  
Vol 14 (3) ◽  
pp. 341-342
Author(s):  
Hajime AKASHI ◽  
Hiroyuki IMAI ◽  
Masao ADACHI
Keyword(s):  
Discrete Time ◽  
Minimum Time ◽  
General Solutions ◽  
Discrete Time Systems ◽  
Time Observation ◽  
And Control ◽  
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.

AN OPTIMIZATION APPROACH TO THE DESIGN OF CONSTRAINED REGULATORS FOR UNCERTAIN DISCRETE-TIME SYSTEMS

2006 ◽  
Vol 15 (03) ◽  
pp. 373-387
Author(s):  
M. VASSILAKI ◽  
G. BITSORIS
Keyword(s):  
Discrete Time ◽  
Sufficient Conditions ◽  
Optimization Approach ◽  
Control Constraints ◽  
Existence Of A Solution ◽  
Discrete Time Systems ◽  
Necessary And Sufficient ◽  
And Control ◽  
Time Systems ◽  
State And Control Constraints

In this paper the regulation problem of linear discrete-time systems with uncertain parameters under state and control constraints is studied. In the first part of the paper, two theorems concerning necessary and sufficient conditions for the existence of a solution to this problem are presented. Due to the constructive form of the proof of these theorems, these results can be used to the development of techniques for the derivation of a control law transferring to the origin any state belonging to a given set of initial states while respecting the state and control constraints.

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