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Optimal Finite-time Control of Positive Linear Discrete-time Systems | ||
| Journal of Electrical and Computer Engineering Innovations (JECEI) | ||
| مقاله 9، دوره 4، شماره 2 - شماره پیاپی 8، مهر 2016، صفحه 177-184 اصل مقاله (904.75 K) | ||
| نوع مقاله: Original Research Paper | ||
| شناسه دیجیتال (DOI): 10.22061/jecei.2017.620 | ||
| نویسندگان | ||
| Gholam Reza Rezaei؛ Tahereh Binazadeh* ؛ Behrouz Safarinejadian | ||
| Department of Electrical and Electronic Engineering, Shiraz University of Technology, Shiraz, Iran | ||
| تاریخ دریافت: 03 بهمن 1395، تاریخ بازنگری: 13 اسفند 1395، تاریخ پذیرش: 15 فروردین 1396 | ||
| چکیده | ||
| This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity property of the optimal state trajectory of the closed-loop system is also guaranteed. Furthermore, state variables of the closed-loop system converge to the origin in finite steps (finite-time stability). In this regard, the LQR+(positive LQR) problem for the linear discrete time systems is stated. Once, the cost function with finite-time horizon is considered and another time the cost function with infinite-time horizon is assumed. In this regard, two theorems are given and proved which consider the problem of building positive and also optimize of the linear time-varying discrete time systems. Results can also be applied to linear time-invariant discrete time systems. Finally, computer simulations are given to illustrate effective performance of the designed controller and also verify the theoretical results. | ||
| کلیدواژه‌ها | ||
| LQR+ problem؛ Discrete-time positive linear systems؛ Optimal control؛ Finite-time stabilization؛ State constraints | ||
| مراجع | ||
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