Authors:
Steven W. Su,
Brian D.O. Anderson,
Thomas S. Brinsmead,
Volume: 1, Page 3013 Paper number 1814
Abstract:
The disturbance suppression problem for nonlinear systems is examined
in this paper. We review the so-called nonstandard mixed sensitivity
problem, which introduces an integrator to a selected weight, as well
as the linear classical disturbance suppression problem and the linear
H-infinity disturbance suppression problem. We extend this H-infinity
problem to the nonlinear case, and present a method to reduce the
order of the state feedback Hamilton-Jacobi PDE (Partial Differential
Equation) for this nonlinear H-infinity problem by extending the
concept of comprehensive stability . Finally, we investigate the structure
of the output feedback H-infinity controller for disturbance suppression,
and draw the conclusion that, as in the linear case, there must also
be an integrator in the controller.
Authors:
Zhihua Qu,
Volume: 1, Page 3019 Paper number 1127
Abstract:
In this paper, robust control design is considered for nonlinear systems
with time variant uncertainties. Instead of assuming that bounding
function on uncertainties is either known or parameterizable in terms
of unknown constants, uncertainties or their bounding function will
be estimated. It is shown that bounded uncertainties from a known or
partially known exo-system can be estimated as part of a globally stabilizing
robust control. The proposed method extends the existing results of
adaptive robust control, and it makes robust control more applicable
by requiring less information on uncertainties.
Authors:
Zhi Wang,
Farshad Khorrami,
Volume: 1, Page 3025 Paper number 1988
Abstract:
In this paper, motivated by the recent results on control of nonlinear
systems with input uncertainties and converse Lyapunov results with
respect to an invariant set, we address the robust adaptive control
issue in the presence of uncertainties including input unmodeled nonlinear
dynamics. Nonlinear damping terms are introduced via backstepping to
counteract the uncertainties and observer design is also employed to
cancel the affects of the nonlinear unmodeled dynamics. To this end,
nonlinear systems transformable to the Extended Strict Feedback Form
with Input Uncertainties are considered. A robust adaptive controller
is designed to achieve semiglobal stability with respect to an invariant
set in the presence of uncertainties utilizing partial state feedback.
Authors:
Hee-Seob Ryu,
Kyung-Sang Yoo,
Oh-Kyu Kwon,
Dae-Woo Kim,
Choon-Bae Park,
Volume: 1, Page 3031 Paper number 2011
Abstract:
This paper investigates the robust nonlinear H_(infinity) filter with
FIR (Finite Impulse Response) structure for nonlinear discrete time-varying
uncertain systems represented by the state-space model having parameter
uncertainty. Firstly, the discrete-time nonlinear H_(infinity) FIR
filter without parameter uncertainty is derived by using the equivalence
relationship between the FIR filter and the recursive filter, which
corresponds to the standard nonlinear H_(infinity) filter. Secondly,
the robust H_(infinity) FIR filter is proposed for the discrete-time
nonlinear uncertain systems. It is also derived from the equivalence
relationship between the robust nonlinear H_(infinity) FIR filter and
the conventional robust nonlinear H_(infinity) filter.
Authors:
Yuri V. Orlov,
Leonardo Acho,
Volume: 1, Page 3037 Paper number 1078
Abstract:
Nonlinear H_(infinity) controller synthesis is presented for time-varying
systems via sampled - data measurement feedback. The H_(infinity) control
problem for a nonlinear system with a sampled-data measurement output
is shown to be equivalent to the H_(infinity) control problem for a
certain nonlinear system with a time-continuous measurement output.
Special mathematical tools are developed to straightforwardly derive
a local solution of the sampled-data measurement feedback H_(infinity)
control problem from that of the time-continuous measurement feedback
H_(infinity) control problem.
Authors:
Chee-Fai Yung,
Chau-Hsien Liu,
Volume: 1, Page 3043 Paper number 49
Abstract:
Sufficient conditions are proposed for the existence of reduced-order
(fixed-order) controllers solving the H-infinity control problem for
nonaffine nonlinear systems. State-space formulas for such reduced-order
H-infinity controllers are also derived in terms of the solutions to
two standard Hamilton-Jacobi-Isaacs inequalities.
Authors:
Guoping Lu,
Lam Fat Yeung,
Daniel W. C. Ho,
Yufan Zheng,
Volume: 1, Page 3049 Paper number 1106
Abstract:
This paper addresses robust H-infinity control problem for nonlinear
systems with matched parameter uncertainty. The necessary and sufficient
condition for existence of global strong robust H-infinity dynamic
compensators is obtained based on nonlinear matrix inequality approach.
It reduces a robust H-infinity control problems to a standard H-infinity
problem for an auxiliary nonlinear system.
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