In light of the complex and highly uncertain nature of dynamical systemsrequiring controls, it is not surprising that reliable system models for manyhigh performance engineering and life science applications are unavailable. Inthe face of such high levels of system uncertainty, robust controllers mayunnecessarily sacrifice system performance whereas adaptive controllers areclearly appropriate since they can tolerate far greater system uncertaintylevels to improve system performance. In this dissertation, we develop aLyapunov-based direct adaptive and neural adaptive control framework thataddresses parametric uncertainty, unstructured uncertainty, disturbancerejection, amplitude and rate saturation constraints, and digitalimplementation issues. Specifically, we consider the following research topics:direct adaptive control for nonlinear uncertain systems with exogenousdisturbances; robust adaptive control for nonlinear uncertain systems; adaptivecontrol for nonlinear uncertain systems with actuator amplitude and ratesaturation constraints; adaptive reduced-order dynamic compensation fornonlinear uncertain systems; direct adaptive control for nonlinear matrixsecond-order dynamical systems with state-dependent uncertainty; adaptivecontrol for nonnegative and compartmental dynamical systems with applicationsto general anesthesia; direct adaptive control of nonnegative and compartmentaldynamical systems with time delay; adaptive control for nonlinear nonnegativeand compartmental dynamical systems with applications to clinical pharmacology;neural network adaptive control for nonlinear nonnegative dynamical systems;passivity-based neural network adaptive output feedback control for nonlinearnonnegative dynamical systems; neural network adaptive dynamic output feedbackcontrol for nonlinear nonnegative systems using tapped delay memory units;Lyapunov-based adaptive control framework for discrete-time nonlinear systemswith exogenous disturbances; direct discrete-time adaptive control withguaranteed parameter error convergence; and hybrid adaptive control fornonlinear uncertain impulsive dynamical systems.
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Direct Adaptive Control for Nonlinear Uncertain Dynamical Systems