Gain Scheduling using Chaos Theory

We consider output regulation for SISO nonlinear plants by gain scheduling on the plant output. The objective of design is to keep the states within prescribed bound from their instantaneous trim values and output asymptotic tracking of reference signal. The controller is constructed using synthesis of chaos and a scheduler monitoring the error between reference signal and the output. The design eliminates the need for scheduling variable to vary slowly yet the feedback system has robust performance and nominal stability. 1 Introduction Gain scheduling has been applied to many practical engineering applications due to its relative ease of design ([Lawrence et al., 1993], [Rugh, 1991], [Shamma et al., 1990]). It involves linearizing the nonlinear plant about a set of operating points and using the diverse results from linear control theory to construct a controller guaranteeing robust performance and stability (e.g [Lawrence et al., 1993]) at each operating point. The feedback dynamics..