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This paper proposes a robust controller design method for an norm-bounded uncertain linear system with disturbance. At First, we derive the necessary and sufficient condition for regional pole assignment for uncertain linear system, then derive the criteria of H2/H?? performance of uncertain linear system with disturbance. Hence combining them, we get the mixed H2/H?? controller control with regional...
This paper deals with GIMC (generalized internal model control) structure based anti-windup (AW) control system design. First, we setup a L2 performance criterion based on GIMC structure for anti-windup control problems. The design problem is formulated as an optimization problem with a parameter Q. Then we calculate the optimization problem and find an optimal Q. Finally, the effectiveness of proposed...
Arbitrarily fast switching or blending among controllers often leads to reduced performance and possible instability. This paper introduces a controller interpolation framework for optimizing the dynamic transition among controllers with respect to the Hinfin norm. Based on the framework, necessary and sufficient conditions are developed in terms of linear matrix inequalities (LMIs). In addition,...
In this paper we introduce a parameterized nonlinear MPC algorithm. Comparing with the classical method, it provides more flexibility in controller design. We discuss its applications in enlarging the attractive region and in multi-objective optimization design. These ideas are demonstrated by a two-mass-spring system example.
Taking unfinished parts, that is, parts' work-in-progress (WIP), as the background, the PI control algorithm is proposed to apply for WIP control in discrete production systems and the cascade control of PI controllers is suggested. Designing of PI controllers is transformed into an optimization problem on the frequency domain, so as to guarantee the stability and robustness of PI controllers' parameters...
In this paper, a new robust and optimization based nonlinear controller with respect to a certain kind of nonlinear disturbed systems is proposed based on control Lyapunov functions (CLF) concept and receding horizon control (RHC) scheme. This new controller can be divided into two components, one is the robust control law with measurable disturbance information; another is the robust receding horizon...
Based on a creative sliding mode prediction model, a novel sliding mode observer (SMO) design method for discrete-time nonlinear uncertain systems is presented in this paper. By combining feedback correction approach, the observer states can close to system states as exactly as possible, and chattering is eliminate simultaneously. Because of the employing of receding horizon optimization technique,...
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