8 research outputs found
On control of discrete-time state-dependent jump linear systems with probabilistic constraints: A receding horizon approach
In this article, we consider a receding horizon control of discrete-time
state-dependent jump linear systems, particular kind of stochastic switching
systems, subject to possibly unbounded random disturbances and probabilistic
state constraints. Due to a nature of the dynamical system and the constraints,
we consider a one-step receding horizon. Using inverse cumulative distribution
function, we convert the probabilistic state constraints to deterministic
constraints, and obtain a tractable deterministic receding horizon control
problem. We consider the receding control law to have a linear state-feedback
and an admissible offset term. We ensure mean square boundedness of the state
variable via solving linear matrix inequalities off-line, and solve the
receding horizon control problem on-line with control offset terms. We
illustrate the overall approach applied on a macroeconomic system
Robust Observer Design for Takagi-Sugeno Fuzzy Systems with Mixed Neutral and Discrete Delays and Unknown Inputs
A robust observer design is proposed for Takagi-Sugeno fuzzy neutral models with unknown inputs. The model consists of a mixed neutral and discrete delay, and the disturbances are imposed on both state and output signals. Delay-dependent sufficient conditions for the design of an unknown input T-S observer with time delays are given in terms of linear matrix inequalities. Some relaxations are introduced by using intermediate variables. A numerical example is given to illustrate the effectiveness of the given results
Stability Analysis for Markovian Jump Neutral Systems with Mixed Delays and Partially Known Transition Rates
The delay-dependent stability problem is studied for Markovian jump neutral systems with partial information on transition probabilities, and the considered delays are mixed and model dependent. By constructing the new stochastic Lyapunov-Krasovskii functional, which combined the introduced free matrices with the analysis technique of matrix inequalities, a sufficient condition for the systems with fully known transition rates is
firstly established. Then, making full use of the transition rate matrix, the results are obtained for the other case, and the uncertain neutral Markovian jump system with incomplete transition rates is also considered. Finally, to show the validity of the obtained results, three numerical examples are provided
Optimal control of DC-DC buck converter via linear systems with inaccessible Markovian jumping modes
The note presents an algorithm for the average
cost control problem of continuous-time Markov jump linear
systems. The controller assumes a linear state-feedback form
and the corresponding control gain does not depend on the
Markov chain. In this scenario, the control problem is that of
minimizing the long-run average cost. As an attempt to solve the
problem, we derive a global convergent algorithm that generates
a gain satisfying necessary optimality conditions. Our algorithm
has practical implications, as illustrated by the experiments that
were carried out to control an electronic dc–dc buck converter.
The buck converter supplied a load that suffered abrupt changes
driven by a homogeneous Markov chain. Besides, the source of
the buck converter also suffered abrupt Markov-driven changes.
The experimental results support the usefulness of our algorithm.Peer ReviewedPostprint (author's final draft