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Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations by M.D.S. Aliyu

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7

Discrete-Time Nonlinear H-Control

In this chapter, we discuss the nonlinear H sub-optimal control problem for discrete-time affine nonlinear systems using both state and output measurement-feedbacks. As most control schemes are implemented using a digital controller, studying the discrete-time problem leads to a better understanding of how the control strategy can be implemented on the digital computer, and what potential problems can arise. The study of the discrete-time problem is also important in its own right from a system-theoretic point of view, and delineates many different distinctions from the continuous-time case.

We begin with the derivation of the solution to the full-information problem first, and then specialize it to the ...

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