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In this paper, a formation problem of a satellite with a leader in an eccentric orbit is considered, where the transition to a periodic relative orbit is required, and the control input is restricted to a subinterval of the period of the leader's orbit. As preliminaries, the same problem in the special case of the circular orbit is considered, and feedback controls based on a differential Riccati...
We investigate a new consensus problem in networks of dynamic agents, where the agents in a network can reach more than one consistent values asymptotically. It contains such consensus problem as a special case that all agents in a network reach a consistent value asymptotically. When information exchange is undirected, a novel consensus protocol is designed to solve the group consensus problem. The...
In this paper, the problem of Hinfin control for a class of Markov jump linear system (MJLS) with timevarying transition rates (TRs) is investigated. The time-varying character of TRs is considered as finite piecewise homogeneous and the variations of TR matrices in the finite set are considered as two types: arbitrary variation and stochastic variation. The latter means that the variations are subject...
This paper is concerned with the stability analysis of Takagi-Sugeno fuzzy dynamic systems with constant time delay. A new delay-dependent asymptotic stability condition for the system is derived by using a novel quadratic Lyapunov-Krasovskii functional, which is constructed by uniformly dividing the delay interval into multiple segments and choosing proper functional with weighted matrices for each...
For uncertain time delay systems with mismatch disturbances, this paper presented an integral sliding mode control algorithm using output information only. The proposed control algorithm can improve the synthesis problem in past researches and avoid solving a large LMI. An integral sliding surface is comprised of output signals and an auxiliary full-order compensator. The designed output feedback...
A model reduction method to match the coefficient of the transfer function G(s) of descriptor system is presented to obtain reduced order descriptor system. By projecting G(s) to the transfer function of discrete time system, the model reduction problem for the descriptor system is transformed to Markov parameters matching model reduction problem of the corresponding discrete time normal systems....
Hinfin filter design for systems with time-varying interval delay is investigated in this paper. Improved delay dependent Hinfin performance condition is presented by using the free-weighting matrix approach and considering the relationship among the time-varying delay, its upper bound and their difference. As a result, a modified cone complementary linearisation (CCL) algorithm with a new stopping...
This paper is concerned with designing a fuzzy dynamic feedback controller for Takagi-Sugeno (T-S) model nonlinear stochastic systems with time delay. The slack matrix method is utilized to derive a delay-dependent sufficient condition that warrants the mean-square asymptotic stability with an Lscr2-Lscrinfin performance for the resulting closed-loop system. Moreover, the solvability condition for...
In this paper, an improved adaptive fault estimation algorithm is proposed for a class of polytopic linear parameter varying (LPV) systems. The conventional adaptive fault estimation design method suffers from low performance of the fault estimation and a strict equation constrain, so a novel fast adaptive fault estimation (FAFE) design method proposed in this paper not only enhances the performance...
The online computation efficiency is always an important issue of the robust model predictive control (RMPC), especially for fast systems. For uncertain systems with polytopic description, two synthesis approaches of off-line RMPC are presented. By offline designing several polyhedral invariant sets properly, the online computation of RMPC is only simple algebra calculation, which reduces the online...
A Boolean network is a logical dynamic system, which has been used to describe cellular networks. Using a new matrix product, called semi-tensor product of matrices, a logical function can be expressed as an algebraic function. This expression can covert the Boolean networks into discrete-time linear dynamic systems. Similarly, the Boolean control networks can also be converted into discrete time...
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