We solve the prescribed-time mean-square stabilization and inverse optimality control problems for stochastic strict-feedback nonlinear systems by developing a new nonscaling backstepping design scheme. A key novel ingredient is that time-varying function not used to scale coordinate transformations only suitably introduced into virtual controllers. The advantage of this approach simpler controller results effort reduced. By using method, we guarantee equilibrium at origin closed-loop system...

We present prescribed-time output-feedback-stabilizing designs for stochastic nonlinear strict-feedback systems. first propose a new nonscaling output-feedback control scheme to solve the mean-square stabilization problem systems without sensor uncertainty. In this case, compared with existing results on stabilization, an appealing feature in our design is that order of scaling function controller dramatically reduced, which yields simpler and effort reduced. then consider ingredient...

Under the weaker conditions on power order and nonlinear functions, this paper investigates output-feedback stabilization problem for a class of stochastic high-order systems. Based backstepping design method homogeneous domination technique, closed-loop system can be proved to globally asymptotically stable in probability.

We present mean-nonovershooting tracking control designs for stochastic strict-feedback nonlinear systems. Compared with the existing designs, advantage of our design is that arbitrary reference trajectories can be tracked "from below." first consider a special class systems where diffusion terms satisfy linear growth condition and drift are in triangular forms. A new controller designed to guarantee mean system output asymptotically track given trajectory without overshooting while keeping...

.We develop a prescribed-time mean-nonovershooting stabilizing feedback law for stochastic nonlinear systems with noise that vanishes in finite time. The prescribed time of stabilization must be strictly after the vanishes, but it may occur as early user desires vanishes. In fact, more generally, is and mean-overshoot free any that, given stabilization, satisfies certain decay rate properties which require, particular, no component vanish slower than linearly "time to go" until contrast...

In this paper, we investigate the distributed output-feedback tracking problem of nonlinear multiagent systems (MASs) where functions agent dynamics depend on unmeasurable states. Most existing results control MASs are concerned with in output canonical form which only measurable output. When states, remains open due to difficulties constructing observers. leader is available a small portion followers directed communication topology, establish relationship between network topology and design...

This paper studies the cooperative control problem of multiple nonlinear benchmark systems perturbed by second-order moment processes. The system consists a moving car and rolling ball in oscillating surroundings. When leader is only accessible to small part followers directed graph, new vectorial backstepping method proposed for design distributed laws. By using stochastic analysis techniques algebra graph theory, it shown that under consideration solvable. Specifically, errors between...

For stochastic strict-feedback nonlinear systems with unknown parameters in the drift terms or diffusion terms, we develop new least-squares identification schemes without regressor filtering. A key ingredient proposed estimator design is a weighted term parameters, which introduced to deal and noise. With such an estimator, adaptive controllers are designed guarantee that equilibrium at origin of closed-loop system globally stable probability, states regulated zero almost surely. Besides,...

This article investigates the problem of output-feedback stabilisation for a class high-order stochastic non-linear systems in which diffusion terms depend on unmeasurable states besides output. By introducing new rescaling transformation, adopting an effective observer and choosing appropriate Lyapunov function, controller is constructed to ensure that equilibrium at origin closed-loop system globally asymptotically stable probability, output can be regulated almost surely, inverse optimal...

This technical note poses and solves the output tracking problem for a class of stochastic high-order nonlinear systems with stationary Markovian switching. By introducing II-operator using Dynkin formula switching systems, controller is constructed to ensure that closed-loop system has unique solution bounded in probability. Also, error converges an arbitrarily small neighborhood zero. The efficiency demonstrated by simulation example.

We present new state feedback control designs for lower/upper triangular nonlinear systems with multiplicative stochastic sensor uncertainty. For lower small noise, we develop a novel design where the gains are suitably constructed to simultaneously dominate functions and noise of sufficiently gain. upper systems, propose low-gain domination design, advantage which is that it can effectively deal arbitrarily large intensities. These two both ensure closed-loop system has an almost surely...

ABSTRACT This article studies the tracking problem for a class of non‐linearly parameterized multi‐agent systems with powers being unknown time‐varying functions. The essence and serious uncertainties distinguish question in this from existing works. By combing algebraic graph theory, adding power integrator method adaptive technique, new distributed controller is presented dynamic estimating reconstructed parameter depending on system parameters, which guarantees that both state control...