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In this paper, a simple adaptive control scheme is developed to study the full state hybrid projective synchronization (FSHPS) behavior between two identical hyper chaotic systems with unknown parameters. The adaptive FSHPS controllers are designed based on Lyapunov stability theorem and an analytic expression of the controllers with the adaptive laws of parameters are presented. The adaptive controllers...
We study the merits of the adaptive controller for nonlinear uncertain Multi-Input Multi-Output (MIMO) systems in the presence of significant unmodeled dynamics and input quantization. We show that with both logarithmic quantization and uniform quantization, if the quantization is sufficiently dense, the adaptive controller ensures that the output of the MIMO system follows...
Positive systems represent a class of systems whose state variables are nonnegative. This paper presents an ℒ1 adaptive controller for such systems. The control objective is to force the system output track a given nonnegative reference signal. In the analysis of the ℒ1 adaptive controller, we first show the positivity of the constructed reference system, and then demonstrate that the controlled system...
This paper quantifies performance bounds of L1 adaptive controllers for linear uncertain systems with input quantization. Two basic types of quantizers are considered: uniform quantizers and logarithmic quantizers. The performance bounds of the L1 adaptive controller in the presence of input quantization proved to have an additional term, dependent upon the quality of quantization. The signals of...
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