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刘允刚, YUN-GANG LIU† AND JI-FENG ZHANG‡
SIAM J. CONTROL OPTIM. Vol. 45, No.3, pp. 885-926,-0001,():
-1年11月30日
This paper addresses the design problem of practical (or satisfaction) output-feedback controls for stochastic strict-feedback nonlinear systems in observer canonical form with stable zerodynamics under long-term average tracking risk-sensitive cost criteria. The cost function adopted here is of the quadratic-integral type usually encountered in practice, rather than the quartic-integral one used to avoid difficulty in control design and performance analysis of the closed-loop system. A sequence of coordinate diffeomorphisms is introduced to separate the zero-dynamics from the entire system, so that the transformed system has an appropriate form suitable for integrator backstepping design. For any given risk-sensitivity parameter and desired cost value, by using the integrator backstepping methodology, an output-feedback control is constructively designed such that (a) the closed-loop system is bounded in probability and (b) the long-term average risk-sensitive cost is upper bounded by the desired value. In addition, this paper does not require the uniform boundedness of the gain functions of the system noise. Furthermore, an example is given to show the effectiveness of the theory.
nonlinear system,, stochastic system,, integrator backstepping methodology,, risksensitive control,, output-feedback control,, zero dynamics
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【期刊论文】Reduced-order observer-based control design for nonlinear stochastic systems☆
刘允刚, Yun-Gang Liua;b, Ji-Feng Zhanga;∗
Systems & Control Letters 52(2004)123-135,-0001,():
-1年11月30日
In this paper, we investigate the stabilization control design problem of nonlinear stochastic SISO systems in strictfeedback form. By introducing a novel reduced-order observer, an output-feedback-based control is constructively designed, which renders the closed-loop system asymptotically stable in the large when the nonlinearities and stochastic disturbance equal zero at the equilibrium point of the open-loop system, and bounded in probability, otherwise. Besides, the obtained controller preserves the equilibrium point of the open-loop nonlinear system.
Nonlinear system, Stochastic system, Reduced-order observer, Integrator backstepping, Stabilization control
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刘允刚, LIU Yungang, & ZHANG Jifeng
Ser. F Information Sciences 2004 Vol.47 No.4 527-544,-0001,():
-1年11月30日
A minimal-order observer and output-feedback stabilization control are given for single-input multi-output stochastic nonlinear systems with unobservable states, unmodelled dynamics and stochastic disturbances. Based on the observer designed, the estimates of all observable states of the system are given, and the convergence of the estimation errors are analyzed. In addition, by using the integrator backstepping approach, an output-feedback stabilization control is constructively designed, and suf cient conditions are obtained under which the closed-loop system is asymptotically stable in the large or bounded in probability, respectively.
nonlinear systems,, minimal-order,, integrator backstepping approach,, stabilization control.,
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刘允刚, Yungang Liu, Zigang Pan, and Songjiao Shi
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 48, NO.3, MARCH 2003,-0001,():
-1年11月30日
In this note, we study the problem of output-feedback control design for a class of strict feedback stochastic nonlinear systems. Under an infinite-horizon risk-sensitive cost criterion, the controller designed can guarantee an arbitrary small long-term average cost for arbitrary risk-sensitivity parameter and achieve boundedness in probability for the closed-loop system, using the integrator backstepping methodology. Furthermore, the controller preserves the equilibrium at the origin of the nonlinear system.
Bounded in probability,, integrator backstepping,, risk-sensitive control,, strict-feedback stochastic nonlinear systems.,
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刘允刚, LIU Yungang, ZHANG Jifeng & PAN Zigang
Vol. 46 No.2 SCIENCE IN CHINA (Series F) April 2001,-0001,():
-1年11月30日
In this paper, the design problem of satisfaction output feedback controls for stochastic nonlinear systems in strict feedback form under long-term tracking risk-sensitive index is investigated. The index function adopted here is of quadratic form usually encountered in practice, rather than of quartic one used to beg the essential difficulty on controller design and performance analysis of the closed-loop systems. For any given risk-sensitive parameter and desired index value, by using the integrator backstepping method, an output feedback control is constructively designed so that the closed-loop system is bounded in probability and the risk-sensitive index is upper bounded by the desired value.
integrator backstepping,, nonlinear system,, stochastic disturbance,, risk-sensitive index,, output feedback.,
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