Robust control of a class of uncertain nonlinear systems
Systems & Control Letters
Robust filtering for jumping systems with mode-dependent delays
Signal Processing
Tuning of fractional PID controllers with Ziegler-Nichols-type rules
Signal Processing - Fractional calculus applications in signals and systems
Technical communique: PI output feedback control of differential linear repetitive processes
Automatica (Journal of IFAC)
Robust peak-to-peak filtering for Markov jump systems
Signal Processing
IEEE Transactions on Fuzzy Systems
Improved robust energy-to-peak filtering for uncertain linear systems
Signal Processing
PID controller design for output PDFs of stochastic systems using linear matrix inequalities
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Brief Robust multivariable PID control for linear parameter varying systems
Automatica (Journal of IFAC)
Brief On the design of multivariable PID controllers via LMI approach
Automatica (Journal of IFAC)
Brief On robust stabilization of Markovian jump systems with uncertain switching probabilities
Automatica (Journal of IFAC)
Technical communique: Static output feedback control for stochastic hybrid systems: LMI approach
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
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This paper studied the proportional-integral (PI) control problems of stochastic Markovian jump systems (MJSs) with uncertain parameters. Under complete access to the system states, the PI controller design procedure turns to static output feedback control problem that make the closed-loop dynamics of this class of uncertain MJSs be robustly stochastically stable. A sufficient condition on the existence of PI controller is presented and proved by means of linear matrix inequality techniques. The presented results are extended to the case when the system states are not accessible. In order to make the relative equations approximate with a satisfactory precision, we described the problem as a semidefinite programming one via disciplined convex optimization. Simulation results illustrate the validity of the proposed algorithms.