Dynamic output feedback compensation for systems with input saturation

In this study, the problem of optimal guaranteed cost control (OGCC) for nonlinear systems under input saturation is investigated. The purpose is to design a dynamic output feedback controller such that the closed-loop system is asymptotically stable and the upper bound of the cost function is minimized. Moreover, the designed controller ensures that the control signals do not exceed their permissible values. This leads to an optimization problem with bilinear matrix inequality (BMI) constraints. The BMI conditions are converted into the linear matrix inequality conditions by using some technical lemmas for straightforward computation of the controller matrices. The simulation results show the effectiveness and advantages of the proposed theoretical results.

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Reply to 'Comments on the examples in ''Dynamic output feedback compensation for linear systems with independent amplitude and rate saturations'''

International Journal of Control ◽

10.1080/002071799220380 ◽

1999 ◽

Vol 72 (13) ◽

pp. 1231-1233

Author(s):

Feng Tyan ◽

Dennis S. Bernstein

Keyword(s):

Linear Systems ◽

Output Feedback ◽

Dynamic Output Feedback ◽

Dynamic Output ◽

Independent Amplitude ◽

Feedback Compensation

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Dynamic Output Feedback Robust MPC with Input Saturation Based on Zonotopic Set-Membership Estimation

Mathematical Problems in Engineering ◽

10.1155/2016/5292375 ◽

2016 ◽

Vol 2016 ◽

pp. 1-13

Author(s):

Xubin Ping ◽

Bo Qian ◽

Ning Sun

Keyword(s):

Output Feedback ◽

Optimization Problem ◽

Input Saturation ◽

Feedback Controller ◽

Dynamic Output Feedback ◽

Output Feedback Controller ◽

Dynamic Output ◽

Set Membership ◽

Dynamic Output Feedback Controller ◽

Bounded Disturbance

For quasi-linear parameter varying (quasi-LPV) systems with bounded disturbance, a synthesis approach of dynamic output feedback robust model predictive control (OFRMPC) with the consideration of input saturation is investigated. The saturated dynamic output feedback controller is represented by a convex hull involving the actual dynamic output controller and an introduced auxiliary controller. By taking both the actual output feedback controller and the auxiliary controller with a parameter-dependent form, the main optimization problem can be formulated as convex optimization. The consideration of input saturation in the main optimization problem reduces the conservatism of dynamic output feedback controller design. The estimation error set and bounded disturbance are represented by zonotopes and refreshed by zonotopic set-membership estimation. Compared with the previous results, the proposed algorithm can not only guarantee the recursive feasibility of the optimization problem, but also improve the control performance at the cost of higher computational burden. A nonlinear continuous stirred tank reactor (CSTR) example is given to illustrate the effectiveness of the approach.

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