Disturbance Decoupling

Abstract

The disturbance decoupling problem (DDP) is a classical problem of control theory. For a control system with disturbance, the purpose of DDP is to design a control such that the disturbance on the system will not affect the output of the system. We refer to Wonham (Linear Multivariable Control: A Geometric Approach, 2nd edn., Springer, Berlin, 1979) for the DDP of linear control systems and Isidori (Nonlinear Control Systems, 3rd edn., Springer, Berlin, 1995) for the DDP of nonlinear control systems. This chapter considers the DDP for Boolean control networks. First, a Y-friendly subspace is introduced. Using this, the DDP via both state feedback control and constant control is then investigated. The canalizing map** is then discussed and used to design constant controllers. This chapter is based on Cheng (IEEE Trans. Automat. Contr., 2010), Cheng et al. (Proc. 7th IEEE International Conference on Control & Automation (ICCA’09), 2009).