Piecewise constant control of linear mechanical systems in the general case

2018 ◽  
Author(s):  
I. M. Alesova ◽  
L. K. Babadzanjanz ◽  
A. M. Bregman ◽  
K. M. Bregman ◽  
I. Yu. Pototskaya ◽  
...  
Keyword(s):  
Mechanical Systems ◽  
Piecewise Constant ◽  
Constant Control ◽  
Piecewise Constant Control

Quantum Control With Piecewise Constant Control Functions

2009 ◽  
Vol 31 (5) ◽  
pp. 3566-3594 ◽  
Author(s):  
Ilan Degani ◽  
Antonella Zanna ◽  
Lene SÆlen ◽  
Raymond Nepstad
Keyword(s):  
Quantum Control ◽  
Piecewise Constant ◽  
Control Functions ◽  
Constant Control ◽  
Piecewise Constant Control

Economic Model Predictive Control of Sampled-Data Linear Systems With Piecewise Constant Control

2019 ◽  
Vol 141 (12) ◽  
Author(s):  
Haojiao Liang ◽  
Huiping Li ◽  
Demin Xu
Keyword(s):  
Predictive Control ◽  
Economic Model ◽  
Closed Loop ◽  
Economic Cost ◽  
Sampled Data ◽  
Closed Loop System ◽  
Piecewise Constant ◽  
Economic Model Predictive Control ◽  
Constant Control ◽  
Piecewise Constant Control

Abstract The paper studies an economic model predictive control (EMPC) problem for sampled-data linear systems with system constraints. The cost function consists of an economic part and a regulatory part, and a new EMPC algorithm with piecewise constant control is designed. Iterative feasibility of the designed optimization problem and input-to-state stability (ISS) of the closed-loop system are proved. In particular, we show that the closed-loop system is input-to-state stable with respect to the supremum norm of the economic cost, and the system state is ultimately bounded within a bound determined by the economic cost. Through thorough simulations, the effectiveness of the designed algorithm is verified and the tradeoff between control and economic performance is demonstrated.

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