-
[show abstract]
[hide abstract]
ABSTRACT: This paper addresses the problem of controller design for networked control systems regulated by a network data transmission scheme proposed in G. Zhang and T. Chen (2005). The plant under the transmission constraint is first formulated as a mixed logical dynamical system, then model predictive control (MPC) based on the mixed-integer programming is applied to derive the controller. It is shown that the non-convexity feature of this class of networked control systems rules out piecewise affine controllers that are designable for linear convex problems. Nevertheless, controller design is still feasible due to the special nature of the data transmission strategy, i.e., only a small number of logic values is involved. An example is given to illustrate the strength of the proposed approach.
Decision and Control, 2007 46th IEEE Conference on; 01/2008
-
[show abstract]
[hide abstract]
ABSTRACT: A new controller discretization approach, the generalized bilinear transformation (GBT), is proposed in [1]. Given an analog controller K, GBT generates a class of digital controllers K<sub>gbt</sub> parameterized by alpha isin (-infin, infin). A geometric interpretation of GBT is first presented. Secondly, when the original analog feedback system is stable, a method is proposed to find the value of the parameter alpha which provides upper bound of the sampling period guaranteeing closed-loop stability of the resulting sampled-data system. Thirdly, it is shown that step-tracking is preserved if the closed-loop sampled-data system is stable. Finally, two examples are used to demonstrate the strength of our digitization approach.
Decision and Control, 2007 46th IEEE Conference on; 01/2008
-
SIAM J. Control and Optimization. 01/2007; 45:2207-2223.
-
[show abstract]
[hide abstract]
ABSTRACT: This paper first introduces the fractional-order hold transformation that, together with the generalized bilinear transformation recently proposed in Zhang et al. [2007], contains all commonly used discretization methods as special cases. In light of this, it further shows that at fast sampling, all the digital approximations of an analog controller are equivalent in the sense of p induced norm for p ∈ [1, ∞] when the analog controller is stable or in the sense of some gap metric even when it is unstable.
