SIAM Journal on Control and Optimization
Robust constrained model predictive control using linear matrix inequalities
Automatica (Journal of IFAC)
Stabilization and destabilization of hybrid systems of stochastic differential equations
Automatica (Journal of IFAC)
Brief paper: Output feedback control of a class of stochastic hybrid systems
Automatica (Journal of IFAC)
ACC'09 Proceedings of the 2009 conference on American Control Conference
Brief Robust one-step receding horizon control of discrete-time Markovian jump uncertain systems
Automatica (Journal of IFAC)
Controller design for Markov jumping systems subject to actuator saturation
Automatica (Journal of IFAC)
Stochastic stabilization of hybrid differential equations
Automatica (Journal of IFAC)
Robust control on saturated Markov jump systems with missing information
Information Sciences: an International Journal
Hi-index | 22.16 |
In this paper we consider the quadratic optimal control problem of a discrete-time Markovian jump linear system, subject to constraints on the state and control variables. It is desired to find a state feedback controller, which may also depend on the jump variable, that minimizes a quadratic cost and satisfies some upper bounds on the norms of some random variables, related to the state and control variables of the system. The transition probability of the Markov chain and initial condition of the system may belong to appropriate convex sets. We obtain an approximation for the optimal solution of this problem in terms of linear matrices inequalities, so that convex programming can be used for numerical calculations. Examples are presented to illustrate the usefulness of the developed results.