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DISCRETE M0DELS IN SYSTEMS ENGINEERING
REPRESENTATI0N 0F DISCRETE C0NTR0L SYSTEMS
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0ptimal adaptation algorithm analysis application approach asymptotically stable Ax(k behaviour Bu(k Chapter closed-loop coefficients column compute condition consider control law Control Systems corresponding cost functional covariance matrix deadbeat controllers defined derived described determine developed difference equation discrete instant discrete model discrete system discrete-time discrete-time systems dynamical systems Egyptian pounds eigenvalues eigenvectors Example feedback control feedback gain full-order gain matrix Gaussian random given IEEE Trans implies initial inverse Kalman filter linear system linearly independent Lyapunov maximum a posteriori modal modes observability obtain optimal control output feedback output records pair parameter estimation poles polynomial positive definite problem procedure properties random process random variable random vector rank recursive reduced-order reference model Riccati Equation scalar shown simulation solution solve structure subspace system matrix techniques tion transfer function transformation values x(k+l y_(k yield z-transform zero mean