Gain scheduled H-infinity control for nonlinear stochastic systems with mixed uncertainties
MetadataShow full item record
This paper studies the problem of robust gain-scheduled H8 controller design for a class of nonlinear Markov jump systems with mixed uncertainties, one is time-varying transition probabilities, which follows a nonhomogeneous jump process, and the other one is parameter uncertainty. Nonlinearity of such systems is linearized by means of gradient linearization procedure, and stochastic linear models are constructed in the vicinity of selected operating states, the time varying transition probability matrix is described as a polytope set. By Lyapunov function approach, under the designed controller, a sufficient condition is presented to ensure the resulting closed-loop system is stochastically stable and a prescribed H8 performance index is satisfied. Finally, continuous gain-scheduled approach is employed to design continuous time-varying controller on the entire nonlinear jump system. A simulation example is given to illustrate the effectiveness of developed techniques
Showing items related by title, author, creator and subject.
Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilitiesYin, YanYan; Shi, P.; Liu, F. (2011)This paper studies the problem of continuous gain-scheduled PI tracking control on a class of stochastic nonlinear systems subject to partially known jump probabilities and time-varying delays. First, gradient linearization ...
Gain scheduled L-two-L-infinity filtering for neutral systems with jumping and time-varying parametersYin, YanYan; Liu, F.; Shi, Y. (2012)In this paper, global exponential stochastic stability based continuous gain-scheduled robust L-two-L-infinity filtering problem is studied for a class of stochastic neutral systems subject to time-varying parameters. ...
Shi, P.; Yin, YanYan; Liu, F.; Zhang, J. (2014)In this paper, a robust H8 controller is designed for saturated Markov jump systems with uncertainties and time varying transition probabilities. The time-varying transition probability uncertainty is described as a ...