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Titlebook: Control Systems with Actuator Saturation; Analysis and Design Tingshu Hu,Zongli Lin Book 2001 Springer Science+Business Media New York 2001

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On Enlarging the Domain of Attraction,oblem into a constrained optimization problem. Since the precise domain of attraction under a feedback law is hard to identify, we will first obtain invariant ellipsoids as estimates of the domain of attraction and then maximize the estimate over stabilizing feedback laws.In solving the optimization
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On Maximizing the Convergence Rate,known that the time optimal control is a bang-bang control, this control strategy is rarely implemented in real systems. The main reason is that it is generally impossible to characterize the switching surface. For discrete-time systems, online computation has been proposed in the literature, but th
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,Output Regulation — Discrete-Time Systems,ular, we characterized the regulatable region, the set of plant and exosystem initial conditions for which output regulation is possible with the saturating actuators. It turned out that the asymptotically regulatable region can be characterized in terms of the null controllable region of the anti-s
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Book 2001to its maximum and minimum limits. A digital filter is subject to saturation if it is implemented in a finite word length format. Saturation nonlinearities are also purposely introduced into engineering systems such as control sys­ tems and neural network systems. Regardless of how saturation arises
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https://doi.org/10.1007/978-3-658-01208-3near controllable system might not be globally null controllable. In this situation, it is important to identify the set of all the states that can be steered to the origin with the bounded controls delivered by the actuators. This set is referred to as the null controllable region and is denoted as C
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https://doi.org/10.1007/978-3-658-01430-8lthough allowing saturation will provide us more freedom in choosing controllers. Another interesting aspect is that, for a discrete-time system, the domain of attraction can be further enlarged if the design is performed on its lifted system
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https://doi.org/10.1007/978-3-658-01509-1 that achieves output regulation on a larger subset of the regulatable region and, a stabilizing feedback law on the entire asymptotically null controllable region leads to a feedback law that achieves output regulation on the entire asymptotically regulatable region
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